Differential forms in algebraic geometry – A new perspective in the singular case

Differential forms are a rich source of invariants in algebraic geometry. This approach was very successful for smooth varieties, but the singular case is less well-understood. We explain how the use of the h-topology (introduced by Suslin and Voevodsky in order to study motives) gives a very good o...

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Bibliographic Details
Published inPortugaliae mathematica Vol. 73; no. 4; pp. 337 - 367
Main Author Huber, Annette
Format Journal Article
LanguageEnglish
Published Zuerich, Switzerland European Mathematical Society Publishing House 01.01.2016
Subjects
Algebraic geometry
Differential calculus
Invariants (Mathematics)
Mathematical research
Topology
h-topology
singular varieties
cohomological invariants
Algebraic differential forms
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ISSN0032-5155
1662-2758
DOI10.4171/PM/1990

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Summary:Differential forms are a rich source of invariants in algebraic geometry. This approach was very successful for smooth varieties, but the singular case is less well-understood. We explain how the use of the h-topology (introduced by Suslin and Voevodsky in order to study motives) gives a very good object also in the singular case, at least in characteristic 0. We also explain problems and solutions in positive characteristic.
ISSN:0032-5155
1662-2758
DOI:10.4171/PM/1990