Varieties isogenous to a higher product with prescribed numerical invariants

Abstract

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

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