We investigate Koszul cohomology on irreducible nodal curves following the lines of [2]. In particular, we prove both Green and Green-Lazarsfeld conjectures for any k-gonal nodal curve which is general in the sense of [4].

Koszul cohomology and singular curves / E. Ballico, C. Fontanari, L. Tasin. - In: RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO. - ISSN 0009-725X. - 59:1(2010), pp. 121-125.

Koszul cohomology and singular curves

L. Tasin
2010

Abstract

We investigate Koszul cohomology on irreducible nodal curves following the lines of [2]. In particular, we prove both Green and Green-Lazarsfeld conjectures for any k-gonal nodal curve which is general in the sense of [4].
Green's conjecture; Green-Lazarsfeld conjecture; Nodal curve; Syzygy; Mathematics (all)
Settore MAT/03 - Geometria
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/638196
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