Hyperelliptic modular curves
نویسندگان
چکیده
منابع مشابه
Modular equations for hyperelliptic curves
We define modular equations describing the `-torsion subgroups of the Jacobian of a hyperelliptic curve. Over a finite base field, we prove factorization properties that extend the well-known results used in Atkin’s improvement of Schoof’s genus 1 point counting algorithm.
متن کاملNon-hyperelliptic modular curves of genus 3
Article history: Received 14 April 2008 Revised 6 December 2009 Communicated by Gebhard Böckle
متن کاملOn Hyperelliptic Modular Curves over Function Fields
We prove that there are only finitely many modular curves of Delliptic sheaves over Fq(T ) which are hyperelliptic. In odd characteristic we give a complete classification of such curves.
متن کاملAutomorphisms of Hyperelliptic Modular Curves X0(n) in Positive Characteristic
We study the automorphism groups of the reduction X0(N)× F̄p of a modular curve X0(N) over primes p ∤ N .
متن کاملThe modular variety of hyperelliptic curves of genus three
The modular variety of non singular and complete hyperelliptic curves with level-two structure of genus 3 is a 5-dimensional quasi projective variety which admits several standard compactifications. The first one comes from the period map, which realizes this variety as a sub-variety of the Siegel modular variety of level two and genus three H3/Γ3[2]. We denote the hyperelliptic locus by I3[2] ...
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ژورنال
عنوان ژورنال: Bulletin de la Société mathématique de France
سال: 1974
ISSN: 0037-9484,2102-622X
DOI: 10.24033/bsmf.1789