منابع مشابه
On the modular curve X0(23)
The Jacobian J0(23) of the modular curve X0(23) is a semi-stable abelian variety over Q with good reduction outside 23. It is simple. We prove that every simple semi-stable abelian variety over Q with good reduction outside 23 is isogenous over Q to J0(23). 2010 Mathematics Subject Classification. Primary 14L15; Secondary 11G18, 11R37.
متن کاملOn the Genera of X0(n)
Let g0(N) be the genus of the modular curve X0(N). We record several properties of the sequence {g0(N)}. Even though the average size of g0(N) is (1.25/π)N , a random positive integer has probability zero of being a value of g0(N). Also, if N is a random positive integer then g0(N) is odd with probability one.
متن کاملDEFINING EQUATIONS OF X0(2 2n)
In this note we will obtain defining equations of modular curves X0(2). The key ingredient is a recursive formula for certain generators of the function fields on X0(2).
متن کاملDeenition and General Properties. the Theory of Adjoints X0. Introduction
In the classical case all unirational surfaces are rational. This was rst realized by Oscar Zariski ((20], p. 314). Prompted by Hironaka's suggestion, we began an investigation of the type of surfaces introduced by Zariski in that paper. The research was originally begun by Blass in 1970-71 at Harvard with the advice of Hironaka and Zariski, and then during 1974{1977 he continued under the dire...
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 .
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ژورنال
عنوان ژورنال: Il Nuovo Cimento A Series 10
سال: 1969
ISSN: 0369-3546,1826-9869
DOI: 10.1007/bf02731813