English

On the Zeta Functions of Supersingular Curves

Algebraic Geometry 2018-06-19 v3

Abstract

In general, the L-polynomial of a curve of genus gg is determined by gg coefficients. We show that the L-polynomial of a supersingular curve of genus gg is determined by fewer than gg coefficients.

Keywords

Cite

@article{arxiv.1803.03509,
  title  = {On the Zeta Functions of Supersingular Curves},
  author = {Gary McGuire and Emrah Sercan Yılmaz},
  journal= {arXiv preprint arXiv:1803.03509},
  year   = {2018}
}