Let C be a smooth projective curve over C, and K be the canonical line bundle. A well-known Theorem of Noether says that if C is not a hyperelliptic curve, then the map H^o(C,K)(?)H^o(C,K)→H^o(C, 2K) is surjective,wh...Let C be a smooth projective curve over C, and K be the canonical line bundle. A well-known Theorem of Noether says that if C is not a hyperelliptic curve, then the map H^o(C,K)(?)H^o(C,K)→H^o(C, 2K) is surjective,which means that K is normally generated.展开更多
文摘Let C be a smooth projective curve over C, and K be the canonical line bundle. A well-known Theorem of Noether says that if C is not a hyperelliptic curve, then the map H^o(C,K)(?)H^o(C,K)→H^o(C, 2K) is surjective,which means that K is normally generated.
