Prym Varieties and the Moduli of Spin Bundles
نویسنده
چکیده
where (Pη,Ξη) is the principally polarised Prym variety corresponding to a 2-torsion point η ∈ J2(C), or is the Jacobian (J(C),Θ) in case η = 0; and where H ± denotes even/odd sections. The interest of (0.1) is that it is one step in the direction, initiated by Beauville and others ([B1], [B2], [BNR]), of relating the Verlinde spaces of C—i.e. the vector spaces H(M,L) where M is some moduli space of vector bun dles on C and L is the ample generator of Pic(M) [DN]—to spaces of classical theta functions associated to the curve. The basic example of this is the isomorphism
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