On linear series and a conjecture of D. C. Butler
Data(s) |
2015
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Resumo |
Let C be a smooth irreducible projective curve of genus g and L a line bundle of degree d generated by a linear subspace V of H-0 (L) of dimension n+1. We prove a conjecture of D. C. Butler on the semistability of the kernel of the evaluation map V circle times O-C -> L and obtain new results on the stability of this kernel. The natural context for this problem is the theory of coherent systems on curves and our techniques involve wall crossing formulae in this theory. |
Formato |
application/pdf |
Identificador |
http://eprints.iisc.ernet.in/51311/1/int_jou_mat-26_2_2015.pdf Bhosle, UN and Brambila-Paz, L and Newstead, PE (2015) On linear series and a conjecture of D. C. Butler. In: INTERNATIONAL JOURNAL OF MATHEMATICS, 26 (2). |
Publicador |
WORLD SCIENTIFIC PUBL CO PTE LTD |
Relação |
http://dx.doi.org/10.1142/S0129167X1550007X http://eprints.iisc.ernet.in/51311/ |
Palavras-Chave | #Mathematics |
Tipo |
Journal Article PeerReviewed |