An stratification of $B^4(2,K_C)$ over a general curve

Abel Castorena; Graciela Reyes-Ahumada

An stratification of $B^4(2,K_C)$ over a general curve

Algebraic Geometry 2017-07-10 v1

Authors: Abel Castorena , Graciela Reyes-Ahumada

Abstract

For a general curve C of genus $g\geq 10$ , we show that the Brill- Noether locus $B^4(2,K_C)$ contains irreducible sub-varieties $B_3\supset B_4 \supset \cdots \supset B_n$ , where $B_n$ is of dimension $3g-10-n$ and $B_3$ is an irreducible component of the expected dimension $3g-13$ .

Keywords

Brill-Noether locus general curve algebraic curve irreducible subvarieties expected dimension stratification

Cite

@article{arxiv.1707.01981,
  title  = {An stratification of $B^4(2,K_C)$ over a general curve},
  author = {Abel Castorena and Graciela Reyes-Ahumada},
  journal= {arXiv preprint arXiv:1707.01981},
  year   = {2017}
}

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