Fragmented deformations of primitive multiple curves

Jean-Marc Drézet

Open Mathematics (2013)

  • Volume: 11, Issue: 12, page 2106-2137
  • ISSN: 2391-5455

Abstract

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A primitive multiple curve is a Cohen-Macaulay irreducible projective curve Y that can be locally embedded in a smooth surface, and such that Y red is smooth. We study the deformations of Y to curves with smooth irreducible components, when the number of components is maximal (it is then the multiplicity n of Y). We are particularly interested in deformations to n disjoint smooth irreducible components, which are called fragmented deformations. We describe them completely. We give also a characterization of primitive multiple curves having a fragmented deformation.

How to cite

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Jean-Marc Drézet. "Fragmented deformations of primitive multiple curves." Open Mathematics 11.12 (2013): 2106-2137. <http://eudml.org/doc/269395>.

@article{Jean2013,
abstract = {A primitive multiple curve is a Cohen-Macaulay irreducible projective curve Y that can be locally embedded in a smooth surface, and such that Y red is smooth. We study the deformations of Y to curves with smooth irreducible components, when the number of components is maximal (it is then the multiplicity n of Y). We are particularly interested in deformations to n disjoint smooth irreducible components, which are called fragmented deformations. We describe them completely. We give also a characterization of primitive multiple curves having a fragmented deformation.},
author = {Jean-Marc Drézet},
journal = {Open Mathematics},
keywords = {Multiple curves; Deformations; multiple curves; deformations; ribbons},
language = {eng},
number = {12},
pages = {2106-2137},
title = {Fragmented deformations of primitive multiple curves},
url = {http://eudml.org/doc/269395},
volume = {11},
year = {2013},
}

TY - JOUR
AU - Jean-Marc Drézet
TI - Fragmented deformations of primitive multiple curves
JO - Open Mathematics
PY - 2013
VL - 11
IS - 12
SP - 2106
EP - 2137
AB - A primitive multiple curve is a Cohen-Macaulay irreducible projective curve Y that can be locally embedded in a smooth surface, and such that Y red is smooth. We study the deformations of Y to curves with smooth irreducible components, when the number of components is maximal (it is then the multiplicity n of Y). We are particularly interested in deformations to n disjoint smooth irreducible components, which are called fragmented deformations. We describe them completely. We give also a characterization of primitive multiple curves having a fragmented deformation.
LA - eng
KW - Multiple curves; Deformations; multiple curves; deformations; ribbons
UR - http://eudml.org/doc/269395
ER -

References

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