37 citations · 82 across the 7 of their papers we have counts for
20 papers · 1 filter
The primitive cohomology lattice of a complete intersection
Arnaud Beauville
We describe the primitive cohomology lattice of a smooth even-dimensional complete intersection in projective space.
Finite subgroups of PGL(2,K)
Arnaud Beauville
We classify, up to conjugacy, the finite subgroups of PGL(2,K) of order prime to char(K).
The action of SL(2) on abelian varieties
Arnaud Beauville
We show that the algebraic group SL(2) acts on any polarized abelian variety A through correspondences. As a consequence we recover the action of SL(2) on the Chow group CH(A) (wit…
Orthogonal bundles on curves and theta functions
Arnaud Beauville
Let M be the moduli space of SO(r)-bundles on a curve, and L the determinant bundle on M. We define an isomorphism of H^0(M,L) onto the dual of the space of r-th order theta functi…
Vector bundles on curves and theta functions
Arnaud Beauville
This is a (short) survey lecture on the "theta map" from the moduli space of SL_r bundles on a curve C to the projective space of r-th order theta functions on JC . Some recent res…
Vector bundles and theta functions on curves of genus 2 and 3
Arnaud Beauville
Let C be a curve of genus g, and let SU(r) be the moduli space of vector bundles of rank r on C, with trivial determinant. A general E in SU(r) defines a theta divisor in the linea…