Factorization of Generalized Theta Functions Revisited
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This survey is based on my lectures given in the last few years. As a reference, constructions of moduli spaces of parabolic sheaves and generalized parabolic sheaves are provided. By a refinement of the proof of vanishing theorems, we show, without using vanishing theorems, a new observation that [Formula: see text] is independent of all of the choices for any smooth curves. The estimate of various codimensions and computation of canonical line bundle of moduli space of generalized parabolic sheaves on a reducible curve are provided in Section 6, which is completely new.
2010 ◽
Vol 21
(04)
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pp. 497-522
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1999 ◽
Vol 78
(1)
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pp. 52-76
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2017 ◽
Vol 18
(06)
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pp. 1331-1340
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2011 ◽
Vol 151
(3)
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pp. 441-457
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2012 ◽
Vol 23
(05)
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pp. 1250052
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2018 ◽
Vol 29
(03)
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pp. 1850015
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