English

Varieties isogenous to a higher product with prescribed numerical invariants

Group Theory 2026-01-09 v2 Algebraic Geometry

Abstract

Using structural properties of groups of small order, we establish the non-existence of varieties isogenous to a higher product of dimension nn greater than 3 with fixed topological Euler number (2)n(-2)^n and trivial first Betti number.

Keywords

Cite

@article{arxiv.2503.08499,
  title  = {Varieties isogenous to a higher product with prescribed numerical invariants},
  author = {Amir Džambić and Anitha Thillaisundaram},
  journal= {arXiv preprint arXiv:2503.08499},
  year   = {2026}
}

Comments

22 pages; this version of the article has been accepted for publication, after peer review but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s10711-025-01044-z