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Article overview
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Automorphisms of curves fixing the order two points of the Jacobian | | Indranil Biswas
; A. J. Parameswaran
; | | Date: |
10 Apr 2008 | | Abstract: | Let X be an irreducible smooth projective curve, of genus at least two,
defined over an algebraically closed field of characteristic different from
two. If X admits a nontrivial automorphism sigma that fixes pointwise all the
order two points of Pic}^0(X), then we prove that X is hyperelliptic with
sigma being the unique hyperelliptic involution. As a corollary, if a
nontrivial automorphisms sigma’ of X fixes pointwise all the theta
characteristics on X, then X is hyperelliptic with sigma’ being its
hyperelliptic involution. | | Source: | arXiv, 0804.1599 | | Services: | Forum | Review | PDF | Favorites | |
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