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

Bhosle, U. N. ; Brambila-Paz, L. ; Newstead, P. E. (2008) On coherent systems of type ( n,d, n+1) on Petri curves Manuscripta Mathematica, 126 (4). pp. 409-441. ISSN 0025-2611

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Official URL: http://www.springerlink.com/content/36062j74627188...

Related URL: http://dx.doi.org/10.1007/s00229-008-0190-y

Abstract

We study coherent systems of type (n, d, n + 1) on a Petri curve X of genus g ≥ 2. We describe the geometry of the moduli space of such coherent systems for large values of the parameter a. We determine the top critical value of a and show that the corresponding "flip" has positive codimension. We investigate also the non-emptiness of the moduli space for smaller values of α, proving in many cases that the condition for non-emptiness is the same as for large a. We give some detailed results for g ≤ 5 and applications to higher rank Brill-Noether theory and the stability of kernels of evaluation maps, thus proving Butler's conjecture in some cases in which it was not previously known.

Item Type:Article
Source:Copyright of this article belongs to Springer-Verlag.
ID Code:3398
Deposited On:11 Oct 2010 08:51
Last Modified:16 May 2016 14:12

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