Derived Categories of Moduli Spaces of Vector Bundles on Curves II

Narasimhan, MS (2016) Derived Categories of Moduli Spaces of Vector Bundles on Curves II. In: Geometry, Algebra, Number Theory, and Their Information Technology Applications. GANITA 2016, June 13 - 16, 2016, University of Toronto, Canada, pp. 375-382.

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Abstract

Let X be a smooth projective curve of genus g over C and M be the moduli space of stable vector bundle of rank 2 and determinant isomorphic to a fixed line bundle of degree 1 on X. Let E be the Poincare bundle on X x M and Phi(E): D-b (X)-> D-b(M) Fourier-Mukai functor defined by E. It was proved in our earlier paper that Phi(E ) is fully faithful for every smooth projective curve of genus g >= 4. It is proved in this present paper that the result is also true for non-hyperelliptic curves of genus 3. Combining known results in the case of hyperelliptic curves, one obtains that Phi(E )is fully faithful for all X of genus g >= 2.

Item Type:	Conference Proceedings
Publication:	Springer Proceedings in Mathematics & Statistics
Series.:	Springer Proceedings in Mathematics & Statistics
Publisher:	SPRINGER
Additional Information:	Copyright for this article belongs to SPRINGER
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	30 May 2019 12:01
Last Modified:	31 May 2019 06:17
URI:	http://eprints.iisc.ac.in/id/eprint/62522

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