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Normal generation of nonspecial line bundles on algebraic curves
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In this paper, we classify (C, L) such that a smooth curve C of genus g has a nonspecial very ample line bundle L of deg L = 2g-2-a failing to be normally generated, in terms of the number a.
Abstract
In this paper, we classify (C, L) such that a smooth curve C of genus g has a nonspecial very ample line bundle L of deg L = 2g-2-a failing to be normally generated, in terms of the number a.
참고문헌 (8)
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- G. Castelnuovo, "Sui multipli di una serie lineare di gruppi di punti appartenente ad una curva algebrica", Rend. Circ. Mat. Palermo, 7, pp.89~110 (1893)
- M. Coppens, "Secant spaces and Clifford's theorem", Compositio Math, 78(2), pp.193~212 (1991)
- M. Green, "On the projective normality of complete linear series on an algebraic curve", Invent. Math, 83(1), pp.73~90 (1985)
- R. Hartshorne, "Algebraic Geometry", Graduate Text in Math, 52 (1977), Berlin-Heidelberg
- C. Keem, "On the Clifford index of a general (e+2)-gonal curve", Manuscripta Math, 63(1), pp.83~88 (1989)
- S. Kim, "Projectively normal embedding of a k-gonal curve", COMMUNICATIONS IN ALGEBRA, 32(1), pp.187~201 (2004), MARCEL DEKKER INC
관련 논문AI추천
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