Bisecant and trisecant curves on ruled surfaces

Choe, Insong; Choi, Youngook; Kim, Seonja; Park, Euisung

doi:10.1016/j.jalgebra.2017.11.017

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Bisecant and trisecant curves on ruled surfaces

Choe, Insong;
Choi, Youngook;
Kim, Seonja;
Park, Euisung

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초록

In this paper, we study numerical classes of integral curves on a ruled surface P(E) associated to a stable bundle E. The nef cone of a ruled surface is generated by the classes of a minimal section C-0 and a fiber f. We compute the smallest integer b such that the class kC(0) + bf contains a multisecant curve for k = 2 and 3. Also we find its consequence on the Lange stability of Sym(k)E. (C) 2017 Elsevier Inc. All rights reserved.

키워드

Ruled surfaces; Moduli of vector bundles; Bisecant curves; Trisecant curves; Segre invariants; Elementary transformation; HIGHER SYZYGIES; VECTOR-BUNDLES; MAPS

제목: Bisecant and trisecant curves on ruled surfaces

저자: Choe, Insong; Choi, Youngook; Kim, Seonja; Park, Euisung

DOI: 10.1016/j.jalgebra.2017.11.017

발행일: 2018-03-01

유형: Article

저널명: Journal of Algebra

권: 497

페이지: 1 ~ 18