English

The Lefschetz standard conjectures for 4d-dimensional Kummer-type hyper-Kaehler varieties

Algebraic Geometry 2025-12-05 v1

Abstract

Contingent upon a conjecture of Buchweitz and Flenner, we prove the Lefschetz standard conjectures for 4d-dimensional projective varieties of generalized Kummer deformation type.

Cite

@article{arxiv.2512.04114,
  title  = {The Lefschetz standard conjectures for 4d-dimensional Kummer-type hyper-Kaehler varieties},
  author = {Josiah Foster},
  journal= {arXiv preprint arXiv:2512.04114},
  year   = {2025}
}

Comments

46 pages. Comments welcome!

R2 v1 2026-07-01T08:08:16.595Z