English

Injective linear series of algebraic curves on quadrics

Algebraic Geometry 2020-05-05 v3

Abstract

We study linear series on curves inducing injective morphisms to projective space, using zero-dimensional schemes and cohomological vanishings. Albeit projections of curves and their singularities are of central importance in algebraic geometry, basic problems still remain unsolved. In this note, we study cuspidal projections of space curves lying on irreducible quadrics (in arbitrary characteristic).

Keywords

Cite

@article{arxiv.1812.02377,
  title  = {Injective linear series of algebraic curves on quadrics},
  author = {Edoardo Ballico and Emanuele Ventura},
  journal= {arXiv preprint arXiv:1812.02377},
  year   = {2020}
}

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Expanded material from previous version