Algorithm for Finding Singular Points of a General Algebraic Hypersurface
In this paper, an algorithm for calculating the parameterization of the Horn–Kapranov -discriminant set and singular points of an algebraic hypersurface, using the Maple computer algebra system, is proposed.
Saved in:
| Published in | Programming and computer software Vol. 51; no. 2; pp. 88 - 92 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Moscow
Pleiades Publishing
01.04.2025
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0361-7688 1608-3261 |
| DOI | 10.1134/S0361768824700889 |
Cover
| Abstract | In this paper, an algorithm for calculating the parameterization of the Horn–Kapranov
-discriminant set and singular points of an algebraic hypersurface, using the Maple computer algebra system, is proposed. |
|---|---|
| AbstractList | In this paper, an algorithm for calculating the parameterization of the Horn–Kapranov -discriminant set and singular points of an algebraic hypersurface, using the Maple computer algebra system, is proposed. In this paper, an algorithm for calculating the parameterization of the Horn–Kapranov -discriminant set and singular points of an algebraic hypersurface, using the Maple computer algebra system, is proposed. |
| Author | Mikhalkin, E. N. Lyapin, A. P. |
| Author_xml | – sequence: 1 givenname: A. P. surname: Lyapin fullname: Lyapin, A. P. email: aplyapin@sfu-kras.ru organization: Shenzhen MSU-BIT University, Siberian Federal University – sequence: 2 givenname: E. N. surname: Mikhalkin fullname: Mikhalkin, E. N. email: mikhalkin@bk.ru organization: Siberian Federal University, Krasnoyarsk State Pedagogical University |
| BookMark | eNp1kE9LAzEUxINUsK1-AG8Bz6vvJdv8OZZiW6GgUD0v2d2kbtkmNdk99Nu7pYIH8fLmMPObBzMhIx-8JeQe4RGR509b4AKlUIrlEkApfUXGKEBlnAkckfHZzs7-DZmktAdAgDwfk5d5uwux6T4P1IVIl42vG7-j2-H0rYn0LTS-SzQ4aujKehtNSwfEltE0FV2fjjamPjpT2Vty7Uyb7N2PTsnH8vl9sc42r6uXxXyTVahVl9lqVkJuFK9R10o5gJIrXomSMXRalKYyoLWzzHCJObPO6FqykhsnhTVW8il5uPQeY_jqbeqKfeijH14WHBWilBpmQwovqSqGlKJ1xTE2BxNPBUJxXqz4s9jAsAuThqzf2fjb_D_0DblLbq0 |
| Cites_doi | 10.1070/sm8950 10.1007/978-3-319-24021-3_1 10.26516/1997-7670.2023.46.98 10.1134/s0081543812080081 10.1070/im2012v076n05abeh002608 10.1134/s0361768823010061 10.1007/978-3-642-18908-1_21 10.1134/s1061920807030016 10.1134/s106456240701022x 10.1134/s0361768817020074 10.1134/s0361768821010023 10.1134/s0965542520010029 10.1007/978-0-8176-4771-1 10.17516/1997-1397-2018-11-6-670-679 10.1134/s0001434624070071 |
| ContentType | Journal Article |
| Copyright | Pleiades Publishing, Ltd. 2025 ISSN 0361-7688, Programming and Computer Software, 2025, Vol. 51, No. 2, pp. 88–92. © Pleiades Publishing, Ltd., 2025.Russian Text © The Author(s), 2025, published in Programmirovanie, 2025, Vol. 51, No. 2. Copyright Springer Nature B.V. Apr 2025 |
| Copyright_xml | – notice: Pleiades Publishing, Ltd. 2025 ISSN 0361-7688, Programming and Computer Software, 2025, Vol. 51, No. 2, pp. 88–92. © Pleiades Publishing, Ltd., 2025.Russian Text © The Author(s), 2025, published in Programmirovanie, 2025, Vol. 51, No. 2. – notice: Copyright Springer Nature B.V. Apr 2025 |
| DBID | AAYXX CITATION JQ2 |
| DOI | 10.1134/S0361768824700889 |
| DatabaseName | CrossRef ProQuest Computer Science Collection |
| DatabaseTitle | CrossRef ProQuest Computer Science Collection |
| DatabaseTitleList | ProQuest Computer Science Collection |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Computer Science |
| EISSN | 1608-3261 |
| EndPage | 92 |
| ExternalDocumentID | 10_1134_S0361768824700889 |
| GroupedDBID | -Y2 .86 .DC .VR 06D 0R~ 0VY 123 1N0 29P 2J2 2JN 2JY 2KG 2KM 2LR 2P1 2VQ 2~H 30V 4.4 408 409 40D 40E 5VS 67Z 6NX 8TC 95- 95. 95~ 96X AAAVM AABHQ AACDK AAHNG AAIAL AAJBT AAJKR AANZL AAPKM AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYQN AAYTO AAYZH ABAKF ABBBX ABBXA ABDBE ABDZT ABECU ABFTD ABFTV ABHQN ABJNI ABJOX ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABQSL ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABWNU ABXPI ACAOD ACBXY ACDTI ACGFS ACHSB ACHXU ACKNC ACMDZ ACMLO ACOKC ACOMO ACPIV ACSNA ACZOJ ADHHG ADHIR ADHKG ADKNI ADKPE ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFQL AEGAL AEGNC AEJHL AEJRE AEMSY AENEX AEOHA AEPYU AETLH AEVLU AEXYK AFBBN AFGCZ AFKRA AFLOW AFQWF AFWTZ AFZKB AGAYW AGDGC AGJBK AGMZJ AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIGIU AIIXL AILAN AITGF AJBLW AJRNO ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARAPS ARMRJ ASPBG AVWKF AXYYD AZFZN B-. BA0 BDATZ BENPR BGLVJ BGNMA BSONS CAG CCPQU COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP DU5 EBLON EBS EIOEI EJD ESBYG FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNWQR GQ7 GQ8 GXS H13 HCIFZ HF~ HG6 HMJXF HQYDN HRMNR HVGLF HZ~ IHE IJ- IKXTQ IWAJR IXC IXD IXE IZIGR IZQ I~X I~Z J-C JBSCW JCJTX JZLTJ K7- KDC KOV LAK LLZTM M4Y MA- N2Q NB0 NPVJJ NQJWS NU0 O9- O93 O9J OAM OVD P2P P9O PF0 PHGZT PT4 QOS R89 R9I RIG RNI RNS ROL RPX RSV RZC RZE S16 S1Z S27 S3B SAP SCO SDH SHX SISQX SJYHP SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 TEORI TN5 TSG TSK TSV TUC U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 WK8 YLTOR ZMTXR ~A9 AAYXX ABFSG ABRTQ ACSTC AEZWR AFDZB AFHIU AFOHR AGQPQ AHPBZ AHWEU AIXLP ATHPR CITATION PHGZM PQGLB PUEGO JQ2 |
| ID | FETCH-LOGICAL-c198t-ec5b04a83d19d88f00b383c6b221f96baca099fe2a37142efa9d72b3af76eae73 |
| IEDL.DBID | U2A |
| ISSN | 0361-7688 |
| IngestDate | Fri Jul 25 21:17:04 EDT 2025 Wed Oct 01 06:39:34 EDT 2025 Wed Mar 26 01:23:17 EDT 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 2 |
| Keywords | A-discriminant parameterization of the A-discriminant set A-discriminant set singular points of a general algebraic hypersurface |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c198t-ec5b04a83d19d88f00b383c6b221f96baca099fe2a37142efa9d72b3af76eae73 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| PQID | 3181177905 |
| PQPubID | 2043762 |
| PageCount | 5 |
| ParticipantIDs | proquest_journals_3181177905 crossref_primary_10_1134_S0361768824700889 springer_journals_10_1134_S0361768824700889 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 20250400 2025-04-00 20250401 |
| PublicationDateYYYYMMDD | 2025-04-01 |
| PublicationDate_xml | – month: 4 year: 2025 text: 20250400 |
| PublicationDecade | 2020 |
| PublicationPlace | Moscow |
| PublicationPlace_xml | – name: Moscow – name: New York |
| PublicationTitle | Programming and computer software |
| PublicationTitleAbbrev | Program Comput Soft |
| PublicationYear | 2025 |
| Publisher | Pleiades Publishing Springer Nature B.V |
| Publisher_xml | – name: Pleiades Publishing – name: Springer Nature B.V |
| References | A.A. Kytmanov (3926_CR4) 2017; 43 A.P. Lyapin (3926_CR5) 2023; 49 3926_CR8 I.A. Antipova (3926_CR11) 2018; 209 I.A. Antipova (3926_CR12) 2012; 76 M.S. Apanovich (3926_CR3) 2021; 47 V.A. Krasikov (3926_CR13) 2012; 279 A. Dickenstein (3926_CR15) 2007; 75 V. Barsan (3926_CR6) 2022; 74 S.A. Abramov (3926_CR1) 2015 I.A. Antipova (3926_CR10) 2018; 11 S.A. Abramov (3926_CR2) 2020; 60 A.V. Lebedev (3926_CR7) 2024; 116 M. Passare (3926_CR9) 2004 W.M. Lawton (3926_CR16) 2023; 46 V.K. Beloshapka (3926_CR14) 2007; 14 |
| References_xml | – volume: 209 start-page: 1419 year: 2018 ident: 3926_CR11 publication-title: Sb. Math. doi: 10.1070/sm8950 – volume-title: Hypergeometric solutions of first-order linear difference systems with rational-function coefficients, Computer Algebra in Scientific Computing year: 2015 ident: 3926_CR1 doi: 10.1007/978-3-319-24021-3_1 – volume: 46 start-page: 98 year: 2023 ident: 3926_CR16 publication-title: Ser. Math. doi: 10.26516/1997-7670.2023.46.98 – volume: 279 start-page: 78 year: 2012 ident: 3926_CR13 publication-title: Proc. Steklov Inst. Math. doi: 10.1134/s0081543812080081 – volume: 76 start-page: 881 year: 2012 ident: 3926_CR12 publication-title: Izv. Math. doi: 10.1070/im2012v076n05abeh002608 – volume: 49 start-page: 49 year: 2023 ident: 3926_CR5 publication-title: Program. Comput. Software doi: 10.1134/s0361768823010061 – volume-title: Algebraic equations and hypergeometric series, The Legacy of Niels Henrik Abel year: 2004 ident: 3926_CR9 doi: 10.1007/978-3-642-18908-1_21 – volume: 74 start-page: 117 year: 2022 ident: 3926_CR6 publication-title: Rom. Rep. Phys. – volume: 14 start-page: 243 year: 2007 ident: 3926_CR14 publication-title: Russ. J. Math. Phys. doi: 10.1134/s1061920807030016 – volume: 75 start-page: 80 year: 2007 ident: 3926_CR15 publication-title: Dokl. Math. doi: 10.1134/s106456240701022x – volume: 43 start-page: 105 year: 2017 ident: 3926_CR4 publication-title: Program. Comput. Software doi: 10.1134/s0361768817020074 – volume: 47 start-page: 1 year: 2021 ident: 3926_CR3 publication-title: Program. Comput. Software doi: 10.1134/s0361768821010023 – volume: 60 start-page: 1 year: 2020 ident: 3926_CR2 publication-title: Comput. Math. Math. Phys. doi: 10.1134/s0965542520010029 – ident: 3926_CR8 doi: 10.1007/978-0-8176-4771-1 – volume: 11 start-page: 670 year: 2018 ident: 3926_CR10 publication-title: J. Sib. Fed. Univ.: Math. Phys. doi: 10.17516/1997-1397-2018-11-6-670-679 – volume: 116 start-page: 77 year: 2024 ident: 3926_CR7 publication-title: Math. Notes doi: 10.1134/s0001434624070071 |
| SSID | ssj0010044 |
| Score | 2.3172908 |
| Snippet | In this paper, an algorithm for calculating the parameterization of the Horn–Kapranov
-discriminant set and singular points of an algebraic hypersurface, using... In this paper, an algorithm for calculating the parameterization of the Horn–Kapranov -discriminant set and singular points of an algebraic hypersurface, using... |
| SourceID | proquest crossref springer |
| SourceType | Aggregation Database Index Database Publisher |
| StartPage | 88 |
| SubjectTerms | Algebra Algorithms Artificial Intelligence Cauchy problems Computer algebra Computer Science Conflicts of interest Hyperspaces Operating Systems Ordinary differential equations Parameterization Software Software Engineering Software Engineering/Programming and Operating Systems Variables |
| Title | Algorithm for Finding Singular Points of a General Algebraic Hypersurface |
| URI | https://link.springer.com/article/10.1134/S0361768824700889 https://www.proquest.com/docview/3181177905 |
| Volume | 51 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVLSH databaseName: SpringerLink Journals customDbUrl: mediaType: online eissn: 1608-3261 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0010044 issn: 0361-7688 databaseCode: AFBBN dateStart: 20000101 isFulltext: true providerName: Library Specific Holdings – providerCode: PRVAVX databaseName: SpringerLINK - Czech Republic Consortium customDbUrl: eissn: 1608-3261 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0010044 issn: 0361-7688 databaseCode: AGYKE dateStart: 20000101 isFulltext: true titleUrlDefault: http://link.springer.com providerName: Springer Nature – providerCode: PRVAVX databaseName: SpringerLink Journals (ICM) customDbUrl: eissn: 1608-3261 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0010044 issn: 0361-7688 databaseCode: U2A dateStart: 20000101 isFulltext: true titleUrlDefault: http://www.springerlink.com/journals/ providerName: Springer Nature |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV07T8MwELagXVh4IwoFeWACWSRO4iRjihoKiAqpVCpTZDs2VIIENen_55wHFa-BJRly8XD2nb_Tdw-EzhgPmJ2GkvBAceIqyUngpB6xnFAAPrV8ykyB8_2Yjabu7cybNXXcRZvt3lKSlaeu5464lxPwtTaA44C6vmWSc9ZR1zPdvOAQT2n0SR0YirImKG1ixBsq89clvl5GK4T5jRSt7pp4G202IBFH9a7uoDWV7aKtdgADbuxxD91Er885RPcvbxiwJ47nVYkKnsDDZJfih3yelQXONea46S-N4RfDFc8lHkEIuiiWC82l2kfTePh4NSLNbAQi7TAoiZKesFwOerXDNAi0ZQmINSUTlNo6ZIJLDthPK8pNSz6qNA9TnwqHa58prnznAHWyPFOHCMOeaMdTpibecwUFSTsF2EMVYxKsO-2h81ZJyXvdAiOpQgfHTX5otIf6rRqTxhqKBPyG4YZDy-uhi1a1q89_Lnb0L-ljtEHNcN4qraaPOuViqU4AMZTiFHWjeDAYm_f1093wtDoxH9PxuKM |
| linkProvider | Springer Nature |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV07T8MwED5BGWDhjShPD0wgi8RJnGSsEFULbYXUVuoWOY4NlSBBTfr_OedBxWtg8eKLh3Pu_J2-ewBccRFwOwklFYES1FVS0MBJPGo5YYz41PIZNwXOwxHvTd2HmTer67jzJtu9oSRLT13NHXFvx-hrbQTHAXN9yyTnrMOG6V9lGuZPWeeTOjAUZUVQ2tSI11Tmr0d8fYxWCPMbKVq-Nd1d2K5BIulUt7oHayrdh51mAAOp7fEA-p3X5wyj-5c3gtiTdOdliQoZ42KyS8lTNk-LnGSaCFL3lyb4ieGK55L0MARd5MuFFlIdwrR7P7nr0Xo2ApV2GBRUSS-2XIF6tcMkCLRlxRhrSh4zZuuQx0IKxH5aMWFa8jGlRZj4LHaE9rkSyneOoJVmqToGgneiHU-ZmnjPjRlK2gnCHqY4l2jdSRuuGyVF71ULjKgMHRw3-qHRNpw1aoxqa8gj9BuGGw4trw03jWpX238edvIv6UvY7E2Gg2jQHz2ewhYzg3rLFJszaBWLpTpH9FDEF-Xf8gEJurh_ |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV07T8MwELagSIiFN6JQwAMTKGriOE4yVkDU8qgqlUrdItuxoRIkVZP-f855UPEaWLz47OHss7_Tdw-ELhkPmJOE0uKB4hZVkluBm3iW7YYC8KntE2YSnJ-GrD-h91NvWvc5zZto94aSrHIaTJWmtOjOE133IKHdMby7DgDlgFDfNoE662iDmjoJcKEnpPdJIxi6siIrHcuI17Tmr1t8_ZhWaPMbQVr-O9Eu2q4BI-5VJ7yH1lS6j3aaZgy4ts0DNOi9vWTg6b--Y8ChOJqV6Sp4DIOJNMWjbJYWOc405riuNY1hieGNZxL3wR1d5MuF5lIdokl093zTt-o-CZZ0wqCwlPSETTno2AmTINC2LcDvlEwQ4uiQCS454ECtCDfl-YjSPEx8Ilyufaa48t0j1EqzVB0jDOejXU-Z_HiPCgKSTgIQiCjGJFh60kZXjZLieVUOIy7dCJfGPzTaRp1GjXFtGXkMb4jhiUPba6PrRrWr6T83O_mX9AXaHN1G8eNg-HCKtojp2VtG23RQq1gs1RkAiUKcl5flAyzuvLs |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Algorithm+for+Finding+Singular+Points+of+a+General+Algebraic+Hypersurface&rft.jtitle=Programming+and+computer+software&rft.au=Lyapin%2C+A.+P.&rft.au=Mikhalkin%2C+E.+N.&rft.date=2025-04-01&rft.issn=0361-7688&rft.eissn=1608-3261&rft.volume=51&rft.issue=2&rft.spage=88&rft.epage=92&rft_id=info:doi/10.1134%2FS0361768824700889&rft.externalDBID=n%2Fa&rft.externalDocID=10_1134_S0361768824700889 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0361-7688&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0361-7688&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0361-7688&client=summon |