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arXiv 1997-10-16 0 views

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

Batyrev, Victor V.

Original · EN

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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