Geometry of arithmetically Gorenstein curves in P4.

Robin Hartshorne

Collectanea Mathematica (2004)

  • Volume: 55, Issue: 1, page 97-111
  • ISSN: 0010-0757

Abstract

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We characterize the postulation character of arithmetically Gorenstein curves in P4. We give conditions under which the curve can be realized in the form mH - K on some ACM surface. Finally, we complement a theorem by Watanabe by showing that any general arithmetically Gorenstein curve in P4 with arbitrary fixed postulation character can be obtained from a line by a series of ascending complete-intersection biliaisons.

How to cite

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Hartshorne, Robin. "Geometry of arithmetically Gorenstein curves in P4.." Collectanea Mathematica 55.1 (2004): 97-111. <http://eudml.org/doc/44332>.

@article{Hartshorne2004,
abstract = {We characterize the postulation character of arithmetically Gorenstein curves in P4. We give conditions under which the curve can be realized in the form mH - K on some ACM surface. Finally, we complement a theorem by Watanabe by showing that any general arithmetically Gorenstein curve in P4 with arbitrary fixed postulation character can be obtained from a line by a series of ascending complete-intersection biliaisons.},
author = {Hartshorne, Robin},
journal = {Collectanea Mathematica},
keywords = {Curvas; Variedades; Ligaduras Gorenstein; arithmetically Gorenstein curves; postulation character; biliaison; geometry of linear systems},
language = {eng},
number = {1},
pages = {97-111},
title = {Geometry of arithmetically Gorenstein curves in P4.},
url = {http://eudml.org/doc/44332},
volume = {55},
year = {2004},
}

TY - JOUR
AU - Hartshorne, Robin
TI - Geometry of arithmetically Gorenstein curves in P4.
JO - Collectanea Mathematica
PY - 2004
VL - 55
IS - 1
SP - 97
EP - 111
AB - We characterize the postulation character of arithmetically Gorenstein curves in P4. We give conditions under which the curve can be realized in the form mH - K on some ACM surface. Finally, we complement a theorem by Watanabe by showing that any general arithmetically Gorenstein curve in P4 with arbitrary fixed postulation character can be obtained from a line by a series of ascending complete-intersection biliaisons.
LA - eng
KW - Curvas; Variedades; Ligaduras Gorenstein; arithmetically Gorenstein curves; postulation character; biliaison; geometry of linear systems
UR - http://eudml.org/doc/44332
ER -

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