Non-special projectively normal line bundles on general k-gonal curves

E. Ballico

Annales Polonici Mathematici (2004)

  • Volume: 84, Issue: 1, page 55-60
  • ISSN: 0066-2216

Abstract

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Let X be a sufficiently general smooth k-gonal curve of genus g and R ∈ Pic(X) the degree k spanned line bundle. We find an optimal integer z > 0 such that the line bundle R z is very ample and projectively normal.

How to cite

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E. Ballico. "Non-special projectively normal line bundles on general k-gonal curves." Annales Polonici Mathematici 84.1 (2004): 55-60. <http://eudml.org/doc/280525>.

@article{E2004,
abstract = {Let X be a sufficiently general smooth k-gonal curve of genus g and R ∈ Pic(X) the degree k spanned line bundle. We find an optimal integer z > 0 such that the line bundle $R^\{⊗z\}$ is very ample and projectively normal.},
author = {E. Ballico},
journal = {Annales Polonici Mathematici},
keywords = {line bundles on curves; vector bundles on curves; plane curves; nodal plane curves},
language = {eng},
number = {1},
pages = {55-60},
title = {Non-special projectively normal line bundles on general k-gonal curves},
url = {http://eudml.org/doc/280525},
volume = {84},
year = {2004},
}

TY - JOUR
AU - E. Ballico
TI - Non-special projectively normal line bundles on general k-gonal curves
JO - Annales Polonici Mathematici
PY - 2004
VL - 84
IS - 1
SP - 55
EP - 60
AB - Let X be a sufficiently general smooth k-gonal curve of genus g and R ∈ Pic(X) the degree k spanned line bundle. We find an optimal integer z > 0 such that the line bundle $R^{⊗z}$ is very ample and projectively normal.
LA - eng
KW - line bundles on curves; vector bundles on curves; plane curves; nodal plane curves
UR - http://eudml.org/doc/280525
ER -

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