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Bisecant and trisecant curves on ruled surfaces
- Authors
- Choe, Insong; Choi, Youngook; Kim, Seonja; Park, Euisung
- Issue Date
- 1-3월-2018
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Ruled surfaces; Moduli of vector bundles; Bisecant curves; Trisecant curves; Segre invariants; Elementary transformation
- Citation
- JOURNAL OF ALGEBRA, v.497, pp.1 - 18
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF ALGEBRA
- Volume
- 497
- Start Page
- 1
- End Page
- 18
- ISSN
- 0021-8693
- Abstract
- 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.
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