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. [10.1007/s12215-010-0008-0]
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].
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