Olivier Benoist ; Olivier Debarre - Smooth subvarieties of Jacobians

epiga:10321 - Épijournal de Géométrie Algébrique, June 12, 2023, Special volume in honour of Claire Voisin - https://doi.org/10.46298/epiga.2023.10321
Smooth subvarieties of JacobiansArticle

Authors: Olivier Benoist ; Olivier Debarre

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.

Comment: 11 pages, v3: final version

https://doi.org/10.46298/epiga.2023.10321
Source: arXiv.org:2205.12761
Volume: Special volume in honour of Claire Voisin
Published on: June 12, 2023
Accepted on: March 16, 2023
Submitted on: November 17, 2022
Keywords: Mathematics - Algebraic Geometry, 14K12, 14C25, 57R77
Licence: Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)
Funding:
    Source : OpenAIRE Graph
  • Modern Aspects of Geometry: Categories, Cycles and Cohomology of Hyperkähler Varieties; Funder: European Commission; Code: 854361

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