Intersection multiplicity on blow-ups
Author:
S. P. Dutta
Journal:
J. Algebraic Geom. 22 (2013), 85-103
DOI:
https://doi.org/10.1090/S1056-3911-2012-00577-3
Published electronically:
March 6, 2012
MathSciNet review:
2993048
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Abstract |
References |
Additional Information
Abstract: A conjecture on vanishing and non-negativity of intersection multiplicity on the blow-up of a regular local ring at its closed point has been proposed. Proofs of vanishing, several special cases of non-negativity and a sufficient condition for non-negativity of this conjecture are described. The topic on intersection multiplicity on vector bundles is also addressed.
References
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References
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Additional Information
S. P. Dutta
Affiliation:
Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, Illinois 61801
Email:
dutta@math.uiuc.edu
Received by editor(s):
April 12, 2010
Received by editor(s) in revised form:
August 30, 2010
Published electronically:
March 6, 2012
Additional Notes:
Supported by an NSA grant MDA H98230-06-1-0026.