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