Noncommutative geometry of rational elliptic curves
نویسندگان
چکیده
منابع مشابه
Noncommutative geometry of algebraic curves
We use C-algebras to study complex algebraic curves. Our approach is based on the representation of an algebraic curve of genus g by the interval exchange transformation due to H. Masur, W. Veech et al. We study the C-algebra Oλ connected to such transformation. The main result says that the algebra Oλ, taken up to Morita equivalence, defines the curve C, up to conformal equivalence. The first ...
متن کاملGeometry of Rational Curves on Algebraic Varieties
Geometry of Rational Curves on Algebraic Varieties
متن کاملOn computing rational torsion on elliptic curves
We introduce an l-adic algorithm to efficiently determine the group of rational torsion points on an elliptic curve. We also make a conjecture about the discriminant of the m-division polynomial of an elliptic curve.
متن کاملElliptic Curves with No Rational Points
The existence of infinitely many elliptic curves with no rational points except the origin oo is proved by refining a theorem of DavenportHeilbronn. The existence of infinitely many quadratic fields with the Iwasawa invariant A3 = 0 is proved at the same time.
متن کاملThe Enumerative Geometry of Rational and Elliptic Curves in Projective Space
We study the geometry of moduli spaces of genus 0 and 1 curves in P with specified contact with a hyperplane H. We compute intersection numbers on these spaces that correspond to the number of degree d curves incident to various general linear spaces, and tangent to H with various multiplicities along various general linear subspaces of H. (The numbers of classical interest, the numbers of curv...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annals of Functional Analysis
سال: 2018
ISSN: 2008-8752
DOI: 10.1215/20088752-2017-0045