l On automorphisms of prime order of Riemann surfaces, function fields, or algebraic curves
Speaker
l Andreas Schweizer
Date
l 2013-02-20
Link
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l The Arithmetic of Function Fields and Related Topics (2. 18~21)
Let X be a compact Riemann surface (or equivalently, a function field over the complex numbers, or equivalently a smooth projective curve over the complex numbers) of genus at least 2. A cyclic subgroup of prime order p of Aut(X) is called properly (p,h)-gonal if it has a fixed point and the quotient surface has genus h. We show that if p>6h+6>11, then a properly (p,h)-gonal subgroup of Aut(X) is unique.
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