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A FAMILY OF PLANE CURVES WITH MODULI 3g-4

Published online by Cambridge University Press:  01 September 2007

ABEL CASTORENA
ABEL CASTORENA*
Affiliation:
Instituto de Matemáticas, Unidad Morelia, Universidad Nacional Autónoma de México Apdo, Postal 61-3(Xangari), C.P. 58089, Morelia, Michoacán, MEXICO e-mail: abel@matmor.unam.mx
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Abstract

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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

Keywords

14H15
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 49 , Issue 3 , September 2007 , pp. 417 - 422
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

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