Fitting ideals and multiple points of surface parameterizations
نویسندگان
چکیده
منابع مشابه
Fitting Ideals and Multiple-points of Surface Parameterizations
Given a birational parameterization φ of an algebraic surface S in the projective space P3, the purpose of this paper is to investigate the sets of points on S whose preimage consists in k or more points, counting multiplicities. They are described explicitly in terms of Fitting ideals of some graded parts of the symmetric algebra associated to the parameterization φ.
متن کاملVanishing ideals over rational parameterizations
Let R = K[y] = K[y1, . . . , yn] be a polynomial ring over an arbitrary field K and let F be a finite set {f1/g1, . . . , fs/gs} of rational functions in K(y), the quotient field of R, where fi (resp. gi) is in R (resp. R \ {0}) for all i. As usual we denote the affine and projective spaces over the field K by As and Ps−1, respectively. Points of the projective space Ps−1 are denoted by [α], wh...
متن کاملComputing Ideals of Points
The easiest geometric object in affine or projective space is a single rational point. It has no secrets, in particular its defining ideal, i.e. the set of all the polynomials which vanish at the point, is straightforward to describe. Namely, for an affine point with coordinates (a1, . . . , an), the corresponding ideal is p = (x1 − a1, . . . , xn − an); while for a projective point with coordi...
متن کاملOn the fitting ideals of a comultiplication module
Let $R$ be a commutative ring. In this paper we assert some properties of finitely generated comultiplication modules and Fitting ideals of them.
متن کاملIntrinsic Parameterizations of Surface Meshes
Parameterization of discrete surfaces is a fundamental and widely-used operation in graphics, required, for instance, for texture mapping or remeshing. As 3D data becomes more and more detailed, there is an increased need for fast and robust techniques to automatically compute least-distorted parameterizations of large meshes. In this paper, we present new theoretical and practical results on t...
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: 2014
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2014.07.028