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- W1570259311 abstract "Let ℳ be the moduli space of principal SO r -bundles on a curve C, 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 functions on the Jacobian of C. This isomorphism identifies the rational map ℳ⇢|ℒ| * defined by the linear system |ℒ| with the map ℳ⇢|rΘ| which associates to a quadratic bundle (E,q) the theta divisor Θ E . The two components ℳ + and ℳ - of ℳ are mapped into the subspaces of even and odd theta functions respectively. Finally we discuss the analogous question for Sp 2r -bundles." @default.
- W1570259311 created "2016-06-24" @default.
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- W1570259311 date "2006-01-01" @default.
- W1570259311 modified "2023-09-27" @default.
- W1570259311 title "Orthogonal bundles on curves and theta functions" @default.
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- W1570259311 doi "https://doi.org/10.5802/aif.2216" @default.
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