منابع مشابه
Regularity Criteria for the Topology of Algebraic Curves and Surfaces
In this paper, we consider the problem of analysing the shape of an object defined by polynomial equations in a domain. We describe regularity criteria which allow us to determine the topology of the implicit object in a box from information on the boundary of this box. Such criteria are given for planar and space algebraic curves and for algebraic surfaces. These tests are used in subdivision ...
متن کاملAlgorithms for Algebraic Curves
1.1. Languages. Let Σ be an alphabet i.e. a finite set of symbols. The set of finite words on Σ is denoted Σ∗. A language is a subset of Σ∗. For a language L ⊂ Σ∗ the associated decision problem is as follows. On input a word w ∈ Σ∗ we want to decide if w belongs to L or not. Examples : even integers, prime integers, etc. For a function f : Σ∗ → Σ∗, the associated functional problem is as follo...
متن کاملAlgorithms for Algebraic Curves
Definition Let K be a field. An elliptic curve over K is a pair (X, O) where X is a smooth absolutely integral proper curve over K with genus one and O is a K-rational point on X. Terminology (see Liu [Liu] and Stichtenoth [Sti]) A curve over K is an equidimensional variety over K of dimension one. A variety over K is a separated scheme of finite type over Spec(K). Examples A triangle with equa...
متن کاملAlgebraic Curves
We consider the problem of tracing algebraic curves by computer, using a numerical technique augmented by symbolic computations. In particular, all singularities are analyzed cOITectly. The methods presented find application in solid modeling and robotics.
متن کاملCherednik Algebras for Algebraic Curves
For any algebraic curve C and n ≥ 1, P. Etingof introduced a ‘global’ Cherednik algebra as a natural deformation of the cross product D(Cn)⋊Sn, of the algebra of differential operators on Cn and the symmetric group. We provide a construction of the global Cherednik algebra in terms of quantum Hamiltonian reduction. We study a category of character Dmodules on a representation scheme associated ...
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: Computing
سال: 2004
ISSN: 0010-485X,1436-5057
DOI: 10.1007/s00607-003-0045-z