On sums of Betti numbers of affine varieties
arXiv:2411.02970 · doi:10.1016/j.ffa.2025.102583
Abstract
We show that if V is a subvariety of the affine N-space defined by polynomials of degree at most d, then the sum of its -adic Betti numbers does not exceed . This answers a question of Katz (FFA 2001).
7 pages