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

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

1997-10-16

arxiv.org/abs/alg-geom/9710020v2

Mathematics

Algebraic Geometry

AMS-LaTeX, 11 pages, to appear in in Proc. European Algebraic Geometry Conference (Warwick, 1996)

Scientific paper

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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