논문KCI 등재
On the order of speciality of a simple, special, and complete linear system on a curve
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Abstract
The order of speciality of an ample invertible sheaf L on a curve is the least integer m so that L^{otimes m} is nonspecial.There is a reasonable upper bound of the order of speciality for a simple invertible sheaf in terms of its degree and projective dimension.We study the case where it reaches the upper bound.Moreover we formulate Castelnuovo's genus bound involving the order of speciality.
관련 논문AI추천
A THEOREM OF CLIFFORD TYPE FOR LINEAR SYSTEMS ON CURVESTakeshi Harui대한수학회 · 대한수학회지2005 · 제42권 제2호Normal generation of nonspecial line bundles on algebraic curves김선자, 김영록대한수학회 · 대한수학회보2011 · 제48권 제1호Conics on a general hypersurface in complex projective spaces신동수대한수학회 · 대한수학회보2013 · 제50권 제6호REMARKS ON NONSPECIAL LINE BUNDLES ON GENERAL k-GONAL CURVES김선자, 최영욱대한수학회 · 대한수학회지2015 · 제52권 제5호Brill-Noether divisors on the moduli space of curves and applicationsClaudio Fontanari, Edoardo Ballico대한수학회 · 대한수학회지2005 · 제42권 제6호Chow stability of canonical genus 4 curves김호성대한수학회 · 대한수학회보2013 · 제50권 제3호
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