Gonality for stable curves and their maps with a smooth curve as their target

• Autorzy: Edoardo Ballico
• Języki publikacji: EN

Abstrakty

EN

Here we study the deformation theory of some maps f: X → ℙr , r = 1, 2, where X is a nodal curve and f|T is not constant for every irreducible component T of X. For r = 1 we show that the “stratification by gonality” for any subset of [...] with fixed topological type behaves like the stratification by gonality of M g.

Słowa kluczowe

EN

Stable curve; Brill-Noether theory; Plane nodal curve; Gonality

Kategorie tematyczne

• 14H10: Families, moduli (algebraic)
• 14H50: Plane and space curves
• 14H51: Special divisors (gonality, Brill-Noether theory)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2009
• Tom: 7
• Numer: 1
• Strony: 54-58

Daty

wydano

2009-03-01

online

2009-01-10

Twórcy

autor

Edoardo Ballico

• Department of Mathematics, University of Trento, Povo, Italy

Bibliografia

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• [3] Caporaso L., A compactification of the universal Picard variety over the moduli space of stable curves, J. Amer. Math. Soc., 1994, 7, 589–660 http://dx.doi.org/10.2307/2152786[Crossref]
• [4] Caporaso L., Brill-Noether theory of binary curves, preprint available at arXiv:math/0807.1484
• [5] Ciliberto C., Harris J., Miranda R., On the surjectivity of the Wahl map, Duke Math. J., 1988, 57, 829–858 http://dx.doi.org/10.1215/S0012-7094-88-05737-7[Crossref]
• [6] Harris J., Mumford D., On the Kodaira dimension of the moduli space of curves, Invent. Math., 1982, 67, 23–86 http://dx.doi.org/10.1007/BF01393371[Crossref]
• [7] Sernesi E., Deformations of algebraic schemes, Springer, Berlin, 2006
• [8] Seshadri C., Fibrés vectoriels sur les courbes algébriques, Astérisque 96, Société Mathématique de France, Paris, 1982
• [9] Tannenbaum A., Families of algebraic curves with nodes, Compositio Math., 1980, 41, 107–119

Identyfikatory

DOI

10.2478/s11533-008-0063-3