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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Blow-up formulas and smooth birational invariants


Author: Zhaohu Nie
Journal: Proc. Amer. Math. Soc. 137 (2009), 2529-2539
MSC (2000): Primary 14F43, 14E99
Published electronically: March 20, 2009
MathSciNet review: 2497464
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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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Additional Information

Zhaohu Nie
Affiliation: Department of Mathematics, Penn State Altoona, 3000 Ivyside Park, Altoona, Pennsylvania 16601
Email: znie@psu.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-09-09872-4
PII: S 0002-9939(09)09872-4
Keywords: Lawson homology, topological filtration, geometric filtration, blow-up formula, birational invariants
Received by editor(s): October 1, 2007
Received by editor(s) in revised form: September 30, 2008
Published electronically: March 20, 2009
Communicated by: Ted Chinburg
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.