@article{d6fd52f7c11e4c2b94dc6550616c7ea0,
title = "Bisecant and trisecant curves on ruled surfaces",
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 C0 and a fiber f. We compute the smallest integer b such that the class kC0+bf contains a multisecant curve for k=2 and 3. Also we find its consequence on the Lange stability of SymkE.",
keywords = "Bisecant curves, Elementary transformation, Moduli of vector bundles, Ruled surfaces, Segre invariants, Trisecant curves",
author = "Insong Choe and Youngook Choi and Seonja Kim and Euisung Park",
note = "Funding Information: The second author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( NRF-2014R1A1A2056617 ). The third author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( NRF-2013R1A1A2058764 ). The fourth author was supported by the Korea Research Foundation Grant funded by the Korean Government ( NRF-2016R1D1A1A09918462 ). Publisher Copyright: {\textcopyright} 2017 Elsevier Inc. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.",
year = "2018",
month = mar,
day = "1",
doi = "10.1016/j.jalgebra.2017.11.017",
language = "English",
volume = "497",
pages = "1--18",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",
}