Birational Calabi--Yau n-folds have equal Betti numbers
alg-geom
2007-05-23 v2 Algebraic Geometry
Abstract
Let X and Y be two smooth projective n-dimensional algebraic varieties X and Y over C with trivial canonical line bundles. We use methods of p-adic analysis on algebraic varieties over local number fields to prove that if X and Y are birational, they have the same Betti numbers.
Cite
@article{arxiv.alg-geom/9710020,
title = {Birational Calabi--Yau n-folds have equal Betti numbers},
author = {Victor V. Batyrev},
journal= {arXiv preprint arXiv:alg-geom/9710020},
year = {2007}
}
Comments
AMS-LaTeX, 11 pages, to appear in in Proc. European Algebraic Geometry Conference (Warwick, 1996)