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Portugaliae Mathematica


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Volume 73, Issue 4, 2016, pp. 337–367
DOI: 10.4171/PM/1990

Published online: 2016-11-30

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

Annette Huber-Klawitter[1]

(1) Universität Freiburg, Germany

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.

Keywords: Algebraic differential forms, cohomological invariants, h-topology, singular varieties

Huber-Klawitter Annette: Differential forms in algebraic geometry – A new perspective in the singular case. Port. Math. 73 (2016), 337-367. doi: 10.4171/PM/1990