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- W2963662058 abstract "Let $C$ be a projective curve either reduced with planar singularities or contained in a smooth algebraic surface. We show that the canonical ring $R(C, omega_C) = bigoplus_{kgeq 0} H^0(C, {omega_C}^{otimes k})$ is generated in degree 1 if $C$ is 3-connected and not (honestly) hyperelliptic; we show moreover that $R(C, L)=bigoplus_{kgeq 0} H^0(C,L^{otimes k})$ is generated in degree 1 if $C$ is reduced with planar singularities and $L$ is an invertible sheaf such that $deg L_{|B} geq 2p_a(B)+1$ for every $Bsubseteq C$." @default.
- W2963662058 created "2019-07-30" @default.
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- W2963662058 date "2014-01-01" @default.
- W2963662058 modified "2023-09-25" @default.
- W2963662058 title "The canonical ring of a 3-connected curve" @default.
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- W2963662058 doi "https://doi.org/10.4171/rlm/667" @default.
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