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.
Original language | English |
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Pages (from-to) | 1-18 |
Number of pages | 18 |
Journal | Journal of Algebra |
Volume | 497 |
DOIs | |
Publication status | Published - 2018 Mar 1 |
Keywords
- Bisecant curves
- Elementary transformation
- Moduli of vector bundles
- Ruled surfaces
- Segre invariants
- Trisecant curves
ASJC Scopus subject areas
- Algebra and Number Theory