On coherent systems with fixed determinant-Reference-Cited by-同舟云学术

On coherent systems with fixed determinant

Published:2014-05 Issue:05 Volume:25 Page:1450045
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Grzegorczyk I.¹,Newstead P. E.²

Affiliation:

1. Department of Mathematics, California State University Channel Islands, One University Drive, Camarillo CA 93012, USA

2. Department of Mathematical Sciences, The University of Liverpool, Peach Street, Liverpool L69 7ZL, UK

Abstract

Over the past 20 years, a great deal of work has been done on the moduli spaces of coherent systems on algebraic curves. Until recently, however, there has been very little work on the fixed determinant case, except for the special case of rank 2 and canonical determinant. This situation has changed due to two papers of Osserman, who has obtained lower bounds for the dimensions of the fixed determinant moduli spaces in some cases. Our object in this paper is to show that some of Osserman's bounds are sharp.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X14500451

Reference17 articles.

1. Geometry of Algebraic Curves

2. A. Bertram and B. Feinberg, Algebraic Geometry, Lecture Notes in Pure and Applied Mathematics 200 (Dekker, 1998) pp. 259–269.

3. On coherent systems of type (n, d, n + 1) on Petri curves

4. An application of coherent systems to a Brill-Noether problem

5. ON THE GEOMETRY OF MODULI SPACES OF COHERENT SYSTEMS ON ALGEBRAIC CURVES

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Brill–Noether loci on moduli spaces of symplectic bundles over curves;Collectanea Mathematica;2020-11-20

2. Expected dimensions of higher-rank Brill-Noether loci;Proceedings of the American Mathematical Society;2017-03-23

3. Linked symplectic forms and limit linear series in rank 2 with special determinant;Advances in Mathematics;2016-01

4. Nonemptiness of Brill–Noether loci in M(2,L);International Journal of Mathematics;2015-12