Nonsingular affine $k\sp *$-surfaces

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Non-local isotopic approximation of nonsingular surfaces

ABSTRACT: We consider the problem of computing isotopic approximations of nonsingular surfaceswhich are implicitly represented by equations of the form f(x, y, z) = 0. This mesh generation problemhas seen much recent progress. We focus on methods based on domain subdivision using numericalprimitives because of their practical adaptive complexity. Previously, Snyder (1992) and Pl...

متن کامل

A remark on parameterizing nonsingular cubic surfaces

Article history: Received 13 June 2008 Received in revised form 29 May 2009 Accepted 2 June 2009 Available online 6 June 2009 Extending a geometric construction due to Sederberg and to Bajaj, Holt, and Netravali, an algorithm is presented for parameterizing a nonsingular cubic surface by polynomials of degree three. The fact that such a parametrization exists is classical. The present algorithm...

متن کامل

Implicitization and parametrization of nonsingular cubic surfaces

In this paper we unify the two subjects of implicitization and parametrization of nonsingular cubic surfaces. Beginning with a cubic parametrization with six basepoints, we first form a three by four Hilbert–Burch matrix, and then a three by three matrix of linear forms whose determinant is the implicit equation. Beginning with an implicit equation, we show how to construct a three by three mat...

متن کامل

Affine like Surfaces

If X is a variety, then X is affine if and only if H(X,F) = 0 for all coherent sheaves F and for all positive i. This paper deals with the following natural question: Question: Classify all smooth varieties X (over C) with H(X,ΩjX) = 0 for all j and for all positive i. Of course if dimX = 1 such an X is affine. Here we deal with the case of surfaces and completely classify them. This question w...

متن کامل

Affine Isometric Embedding for Surfaces

A strictly convex hypersurface in Rn can be endowed with a Riemannian metric in a way that is invariant under the group of (equi)affine motions. We study the corresponding isometric embedding problem for surfaces in R3. This problem is formulated in terms of a quasilinear elliptic system of PDE for the Pick form. A negative result is obtained by attempting to invert about the standard embedding...

متن کامل

ذخیره 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: Transactions of the American Mathematical Society

سال: 1992

ISSN: 0002-9947,1088-6850

DOI: 10.1090/s0002-9947-1992-1062868-8