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Autori principali: Benoist, Olivier, Debarre, Olivier
Natura: Preprint
Pubblicazione: 2022
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Accesso online:https://arxiv.org/abs/2205.12761
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author Benoist, Olivier
Debarre, Olivier
author_facet Benoist, Olivier
Debarre, Olivier
contents We give new examples of algebraic integral cohomology classes on smooth projective complex varieties that are not integral linear combinations of classes of smooth subvarieties. Some of our examples have dimension 6, the lowest possible. The classes that we consider are minimal cohomology classes on Jacobians of very general curves. Our main tool is complex cobordism.
format Preprint
id arxiv_https___arxiv_org_abs_2205_12761
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Smooth subvarieties of Jacobians
Benoist, Olivier
Debarre, Olivier
Algebraic Geometry
14K12, 14C25, 57R77
We give new examples of algebraic integral cohomology classes on smooth projective complex varieties that are not integral linear combinations of classes of smooth subvarieties. Some of our examples have dimension 6, the lowest possible. The classes that we consider are minimal cohomology classes on Jacobians of very general curves. Our main tool is complex cobordism.
title Smooth subvarieties of Jacobians
topic Algebraic Geometry
14K12, 14C25, 57R77
url https://arxiv.org/abs/2205.12761