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Publication Date:
March 2009
ISSN:
1435-5345
DOI:
10.1515/CRELLE.2009.046

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Journal für die reine und angewandte Mathematik

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Ed. by Colding, Tobias / Cuntz, Joachim / Huybrechts, Daniel / Hwang, Jun-Muk

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Degeneration of the strange duality map for symplectic bundles

Takeshi Abe1

1Research Institute for Mathematical Sciences, Kyoto University, Kitashirakawa, Sakyo-ku, Kyoto, 606-8502, Japan. e-mail: abeken@kurims.kyoto-u.ac.jp

Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal). Volume 2009, Issue 631, Pages 181–220, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/CRELLE.2009.046, March 2009

Publication History:
Received:
2008-01-24
Revised:
2008-02-21
Published Online:
2009-03-31

Abstract

We formulate a strange duality map for parabolic symplectic bundles. We shall prove that as a smooth curve degenerates to a nodal curve, the strange duality map becomes the direct sum of the strange duality maps for parabolic bundles on the normalization of the nodal curve.

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