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- W2076459508 abstract "We study the moduli problem of pairs consisting of a rank 2 vector bundle and a nonzero section over a fixed smooth curve. The stability condition involves a parameter; as it varies, we show that the moduli space undergoes a sequence of flips in the sense of Mori. As applications, we prove several results about moduli spaces of rank 2 bundles, including the Harder-Narasimhan formula and the SU(2) Verlinde formula. Indeed, we prove a general result on the space of sections of powers of the ideal sheaf of a curve in projective space, which includes the Verlinde formula." @default.
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- W2076459508 date "1994-12-01" @default.
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- W2076459508 title "Stable pairs, linear systems and the Verlinde formula" @default.
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- W2076459508 doi "https://doi.org/10.1007/bf01232244" @default.
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