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- W2891491626 abstract "Let $C$ be a smooth complex irreducible projective curve of genus $g$ with general moduli, and let $(L,H^0(L))$ be a generated complete linear series of type $(d,r+1)$ over $C$. The syzygy bundle, denoted by $M_L$, is the kernel of the evaluation map $H^0(L)otimesmathcal O_Cto L$. In this work we have a double purpose. The first one is to give new examples of stable syzygy bundles admitting theta divisor over general curves. We prove that if $M_L$ is strictly semistable then $M_L$ admits reducible theta divisor. The second purpose is to study the cohomological semistability of $M_L$, and in this direction we show that when $L$ induces a birational map, the syzygy bundle $M_L$ is cohomologically semistable, and we obtain precise conditions for the cohomological semistability of $M_L$ where such conditions agree with the semistability conditions for $M_L$." @default.
- W2891491626 created "2018-09-27" @default.
- W2891491626 creator A5021506171 @default.
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- W2891491626 date "2018-09-05" @default.
- W2891491626 modified "2023-09-27" @default.
- W2891491626 title "New examples of reducible theta divisors for some Syzygy bundles" @default.
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- W2891491626 hasPublicationYear "2018" @default.
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