Twisted homogeneous coordinate rings of abelian surfaces via mirror symmetry
Author:
Marco Aldi
Journal:
Proc. Amer. Math. Soc. 137 (2009), 2741-2747
MSC (2000):
Primary 53D12; Secondary 14A22
DOI:
https://doi.org/10.1090/S0002-9939-09-09817-7
Published electronically:
February 11, 2009
MathSciNet review:
2497487
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Abstract | References | Similar Articles | Additional Information
Abstract: In this paper we study Seidel’s mirror map for abelian and Kummer surfaces. We find that mirror symmetry leads in a very natural way to the classical parametrization of Kummer surfaces in $\mathbb {P}^3$. Moreover, we describe a family of embeddings of a given abelian surface into noncommutative projective spaces.
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Additional Information
Marco Aldi
Affiliation:
Department of Mathematics, University of California, Berkeley, 970 Evans Hall #3840, Berkeley, California 94720-3840
Received by editor(s):
October 19, 2006
Received by editor(s) in revised form:
October 27, 2008
Published electronically:
February 11, 2009
Additional Notes:
This work was partially supported by NSF grant DMS-0072508
Communicated by:
Ted Chinburg
Article copyright:
© Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
