English

On k-jet ampleness of line bundles on hyperelliptic surfaces

Algebraic Geometry 2017-06-27 v1

Abstract

We study k-jet ampleness of line bundles on hyperelliptic surfaces using vanishing theorems. Our main result states that on a hyperelliptic surface of an arbitrary type a line bundle of type (m,m) with m\geq k+2 is k-jet ample.

Keywords

Cite

@article{arxiv.1507.05482,
  title  = {On k-jet ampleness of line bundles on hyperelliptic surfaces},
  author = {Lucja Farnik},
  journal= {arXiv preprint arXiv:1507.05482},
  year   = {2017}
}

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19 pages