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Birational Calabi--Yau n-folds have equal Betti numbers

Victor V. Batyrev
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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.

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BibTeXRIS

Victor V. Batyrev. 1998-03-16. Birational Calabi--Yau n-folds have equal Betti numbers. https://arxiv.org/abs/alg-geom/9710020

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