English

Fields of moduli and fields of definition of curves

Number Theory 2007-05-23 v1 Algebraic Geometry

Abstract

We determine conditions that guarantee that a hyperelliptic or plane curve over a field of characteristic not equal to 2 can be defined over its field of moduli. We also give new examples of curves not definable over their fields of moduli.

Keywords

Cite

@article{arxiv.math/0610247,
  title  = {Fields of moduli and fields of definition of curves},
  author = {Bonnie Huggins},
  journal= {arXiv preprint arXiv:math/0610247},
  year   = {2007}
}

Comments

UC Berkeley Ph.D. thesis, 168 pages