Fields of moduli and fields of definition of curves

Details Fields of moduli and fields of definition of curves Fields of moduli and fields of definition of curves

2006-10-07

arxiv.org/abs/math/0610247v1

Mathematics

Number Theory

UC Berkeley Ph.D. thesis, 168 pages

Scientific paper

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.

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