On the intersection theory of Quot schemes and moduli of bundles with sections

Details On the intersection theory of Quot schemes and moduli of bundles with sections On the intersection theory of Quot schemes and moduli of bundles with sections

2006-01-12

arxiv.org/abs/math/0601275v3

Mathematics

Algebraic Geometry

14 pages

Scientific paper

We consider a class of tautological top intersection products on the moduli space of stable pairs consisting of semistable vector bundles together with N sections on a smooth complex projective curve C. We show that when N is large, these intersection numbers can equally be computed on the Grothendieck Quot scheme of coherent sheaf quotients of the rank N trivial sheaf on C. The result has applications to the calculation of the intersection theory of the moduli space of semistable bundles on C.

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