Dominance of a rational map to the Coble quartic

Author:
Sukmoon Huh

Journal:
Proc. Amer. Math. Soc. **138** (2010), 777-786

MSC (2000):
Primary 14D20; Secondary 14M15

DOI:
https://doi.org/10.1090/S0002-9939-09-10129-6

Published electronically:
October 20, 2009

MathSciNet review:
2566543

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Abstract | References | Similar Articles | Additional Information

Abstract: We show the dominance of the restriction map from a moduli space of stable sheaves on the projective plane to the Coble sixfold quartic. With the dominance and the interpretation of a stable sheaf on the plane in terms of hyperplane arrangements, we expect these tools to reveal the geometry of the Coble quartic.

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Additional Information

**Sukmoon Huh**

Affiliation:
Korea Institute for Advanced Study, Hoegiro 87, Dongdaemun-gu, Seoul 130-722, Republic of Korea

Email:
sukmoonh@kias.re.kr

DOI:
https://doi.org/10.1090/S0002-9939-09-10129-6

Received by editor(s):
January 15, 2008

Received by editor(s) in revised form:
April 26, 2009

Published electronically:
October 20, 2009

Additional Notes:
This article is part of the revised version of the author’s thesis at the University of Michigan. The author would like to express his deepest gratitude to his advisor, Professor Igor Dolgachev. The author is also grateful to the referee for many suggestions.

Communicated by:
Ted Chinburg

Article copyright:
© Copyright 2009
American Mathematical Society

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