English

Special ramification loci on the double product of a general curve

Algebraic Geometry 2007-05-23 v1

Abstract

Let C be a general connected, smooth, projective curve of positive genus g. For each nonnegative integer i we give formulas for the number of pairs (P,Q) em C x C off the diagonal such that (g+i-1)Q-(i+1)P is linearly equivalent to an effective divisor, and the number of pairs (P,Q) em C x C off the diagonal such that (g+i+1)Q-(i+1)P is linearly equivalent to a moving effective divisor.

Keywords

Cite

@article{arxiv.math/0701662,
  title  = {Special ramification loci on the double product of a general curve},
  author = {Caterina Cumino and Eduardo Esteves and Letterio Gatto},
  journal= {arXiv preprint arXiv:math/0701662},
  year   = {2007}
}

Comments

32 pages, 1 figure