Blow-up formulas and smooth birational invariants

Nie, Zhaohu

doi:10.1090/S0002-9939-09-09872-4

Blow-up formulas and smooth birational invariants
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by Zhaohu Nie

Proc. Amer. Math. Soc. 137 (2009), 2529-2539

DOI: https://doi.org/10.1090/S0002-9939-09-09872-4

Published electronically: March 20, 2009

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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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