Jacobian nullwerte and algebraic equations
نویسندگان
چکیده
منابع مشابه
Jacobian Nullwerte, Periods and Symmetric Equations for Hyperelliptic Curves
We propose a solution to the hyperelliptic Schottky problem, based on the use of Jacobian Nullwerte and symmetric models for hyperelliptic curves. Both ingredients are interesting on its own, since the first provide period matrices which can be geometrically described, and the second have remarkable arithmetic properties.
متن کاملOn the Torelli Problem and Jacobian Nullwerte in Genus Three
We give a closed formula for recovering a non-hyperelliptic genus three curve from its period matrix, and derive some identities between Jacobian Nullwerte in dimension three.
متن کاملALGEBRAIC NONLINEARITY IN VOLTERRA-HAMMERSTEIN EQUATIONS
Here a posteriori error estimate for the numerical solution of nonlinear Voltena- Hammerstein equations is given. We present an error upper bound for nonlinear Voltena-Hammastein integral equations, in which the form of nonlinearity is algebraic and develop a posteriori error estimate for the recently proposed method of Brunner for these problems (the implicitly linear collocation method)...
متن کاملInfinite-dimensional Algebraic Varieties and Proof of the Jacobian Conjecture
In this paper we give a detailed proof of the Jacobian Conjecture (posed in 1939) which says that a polynomial map Cn → Cn is invertible if and only if its Jacobian is a non-zero constant. To prove it we equip both the set of all polynomial automorphisms of Cn and the set of all polynomial endomorphisms of Cn whose Jacobians are non-zero constants with structures of ind-varieties. Then using al...
متن کاملAsymptotic Forms and Algebraic Diierential Equations Asymptotic Forms and Algebraic Diierential Equations Asymptotic Forms and Algebraic Diierential Equations
We analyse the complexity of a simple algorithm for computing asymptotic solutions of an algebraic diierential equation. This analysis is based on a computation of the number of possible asymptotic monomials of a certain order, and on the study of the growth of this number as the order of the equation grows. Comportements asymptotiques et equations dii erentielles alg ebriques R esum e Nous ana...
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: Journal of Algebra
سال: 2002
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(02)00049-2