Algebraic cohomology of the moduli space of rank 2 vector bundles on a curve

Details Algebraic cohomology of the moduli space of rank 2 vector bundles on a curve Algebraic cohomology of the moduli space of rank 2 vector bundles on a curve

1995-02-17

arxiv.org/abs/alg-geom/9502019v1

Mathematics

Algebraic Geometry

12 pages, Plain TeX with amssym and epsf, 1 figure (eps file appended). Hard copies available

Scientific paper

Let $\MC$ be the moduli space of stable holomorphic vector bundles of rank 2 and fixed determinant of odd degree, over a smooth projective curve $C$. This paper identifies the algebraic cohomology ring $\HA^*(\MC)$, i.e. the subring of the rational cohomology ring $H^*(\MC;\QQ)$ spanned by the fundamental classes of algebraic cycles, in terms of the algebraic cohomology ring of the Jacobian $\JC$.

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