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ISSN 1088-6826(e) ISSN 0002-9939(p)

Blow-up formulas and smooth birational invariants

Author(s): Zhaohu Nie
Journal: Proc. Amer. Math. Soc. 137 (2009), 2529-2539.
MSC (2000): Primary 14F43, 14E99
Posted: March 20, 2009
MathSciNet review: 2497464
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Abstract | References | Similar articles | Additional information

Abstract: We prove that the blow-up formula for the singular homology of a complex smooth projective variety with a smooth center respects two natural filtrations, namely the topological and the geometric filtrations. This then enables us to establish some smooth birational invariants.

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