A note on the effective non-vanishing conjecture

Author:
Qihong Xie

Journal:
Proc. Amer. Math. Soc. **137** (2009), 61-63

MSC (2000):
Primary 14E30

DOI:
https://doi.org/10.1090/S0002-9939-08-09539-7

Published electronically:
August 4, 2008

MathSciNet review:
2439425

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Abstract | References | Similar Articles | Additional Information

Abstract: We give a reduction of the irregular case for the effective non-vanishing conjecture by virtue of the Fourier-Mukai transform. As a consequence, we reprove that the effective non-vanishing conjecture holds on algebraic surfaces.

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Additional Information

**Qihong Xie**

Affiliation:
Department of Mathematics, Tokyo Institute of Technology, 2-12-1 Oh-okayama, Meguro, Tokyo 152-8551, Japan

Address at time of publication:
Graduate School of Mathematical Sciences, University of Tokyo, Komaba, Meguro, Tokyo 153-8914, Japan

Email:
xie_qihong@hotmail.com

DOI:
https://doi.org/10.1090/S0002-9939-08-09539-7

Received by editor(s):
January 17, 2007

Received by editor(s) in revised form:
October 18, 2007, November 16, 2007, and December 27, 2007

Published electronically:
August 4, 2008

Communicated by:
Ted Chinburg

Article copyright:
© Copyright 2008
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.