Geodesic
A FAMILY OF PLANE CURVES WITH MODULI 3g-4
Glasgow mathematical journal, Tome 49 (2007) no. 3, pp. 417-422

Voir la notice de l'article provenant de la source Cambridge University Press

In the moduli space of smooth and complex irreducible projective curves of genus g, let be the locus of curves that do not satisfy the Gieseker-Petri theorem. Let be the subvariety of GPg formed by curves C of genus g with a pencil g1d=(V, L∈G1d(C) free of base points for which the Petri map μV:V⊗H0(C,KC⊗L−1)→H0(C,KC) is not injective. For g≥8, we construct in this work a family of irreducible plane curves of genus g with moduli
DOI : 10.1017/S0017089507003783
Mots-clés : 14H15 
CASTORENA, ABEL. A FAMILY OF PLANE CURVES WITH MODULI 3g-4. Glasgow mathematical journal, Tome 49 (2007) no. 3, pp. 417-422. doi: 10.1017/S0017089507003783
@article{10_1017_S0017089507003783,
     author = {CASTORENA, ABEL},
     title = {A {FAMILY} {OF} {PLANE} {CURVES} {WITH} {MODULI} 3g-4},
     journal = {Glasgow mathematical journal},
     pages = {417--422},
     year = {2007},
     volume = {49},
     number = {3},
     doi = {10.1017/S0017089507003783},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003783/}
}
TY  - JOUR
AU  - CASTORENA, ABEL
TI  - A FAMILY OF PLANE CURVES WITH MODULI 3g-4
JO  - Glasgow mathematical journal
PY  - 2007
SP  - 417
EP  - 422
VL  - 49
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003783/
DO  - 10.1017/S0017089507003783
ID  - 10_1017_S0017089507003783
ER  - 
%0 Journal Article
%A CASTORENA, ABEL
%T A FAMILY OF PLANE CURVES WITH MODULI 3g-4
%J Glasgow mathematical journal
%D 2007
%P 417-422
%V 49
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003783/
%R 10.1017/S0017089507003783
%F 10_1017_S0017089507003783

[1] 1.Arbarello, E. and Cornalba, M., Su una congettura di Petri, Comment. Math Helvetici. 56 (1981), 1–38. Google Scholar

[2] 2.Arbarello, E. and Cornalba, M., A few remarks about the variety of irreducible plane curves of given degree and genus, Ann. Scient. Éc. Norm. Sup. 4 serie, 16 (1983), 467–488. Google Scholar

[3] 3.Arbarello, E., Cornalba, M., Griffiths, P. and Harris, J., Geometry of algebraic curves Volume I, Grundlehrem der Mathematischen Wissenschaften No. 267 (Springer-Verlag 1984). Google Scholar

[4] 4.Castorena, A., Curves of genus seven that do not satisfy the Gieseker-Petri theorem, Bolletino U.M.I. 8 (2005), 697–706. Google Scholar

[5] 5.Ciliberto, C., Canonical surfaces with p = p = 4 and K 2 = 5,. . ,10, Duke Math. J. 48 (1981), 121–157. Google Scholar

[6] 6.Eisenbud, D. and Harris, J., The Kodaira dimension of the moduli space of curves of genus g ≥ 23, Invent. Math. 90 (1987), 359–387. Google Scholar | DOI

[7] 7.Eisenbud, D. and Harris, J., Irreducibility of some families of linear series with Brill-Noether Number -1, Ann. Scient. Éc. Norm. Sup. 4 série t. 22 (1989) 33–53. Google Scholar | DOI

[8] 8.Gavril, Farkas, Gaussian, maps, Gieseker-Petri loci and large theta-characteristics, J. Reine Angew. Math. 581 (2005), 151–173. Google Scholar

[9] 9.Harris, J. and Morrison, I., Moduli of curves. Graduate Texts in Mathematics No. 187 (Springer-Verlag 1998). Google Scholar

[10] 10.i Bigas, M. Teixidor, Half-canonical series on algebraic curves, Trans. Amer. Math. Soc. 302 (1987) 99–115. Google Scholar

[11] 11.i Bigas, M. Teixidor, The divisor of curves with a vanishing theta-null, Compositio Math. 66 (1988) 15–22. Google Scholar

Cité par Sources :