English

The Hodge and Tate conjectures for hyper-K\"{a}hler sixfolds of generalized Kummer type

Algebraic Geometry 2023-08-07 v1

Abstract

We prove the conjectures of Hodge and Tate for any six-dimensional hyper-K\"ahler variety that is deformation equivalent to a generalized Kummer variety.

Keywords

Cite

@article{arxiv.2308.02267,
  title  = {The Hodge and Tate conjectures for hyper-K\"{a}hler sixfolds of generalized Kummer type},
  author = {Salvatore Floccari},
  journal= {arXiv preprint arXiv:2308.02267},
  year   = {2023}
}

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31 pages, comments welcome!