Maximal rank and minimal generation of some parametric varieties
β Scribed by Luca Chiantini; Ferruccio Orecchia; Isabella Ramella
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 237 KB
- Volume
- 186
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper, continuing work of the second author (J. Pure Appl. Algebra 155 (2001) 77) for rational curves, we address the problem of computing the generators of the ideal of an irreducible parametric variety V to the computation of the generators of the ideal of a suitable ΓΏnite set of points on V . In particular, we consider the case of general parametric surfaces and threefolds and of general parametric surfaces represented by polynomials with base points.
π SIMILAR VOLUMES
For periodic integrands with unit period in each variable, certain error bounds for lattice rules are conveniently characterised by the ΓΏgure of merit , which was originally introduced in the context of number theoretic rules. The problem of ΓΏnding good rules of order N (that is, having N distinct n
In this note, we generalize the concepts of minimal bases and maximal nonbases for integers, and prove some existence theorems for the generalized minimal bases and maximal nonbases, which generalize some results of Stiihr, Deza and Erdds, and Nathanson.
We give in this paper a group of closed-form formulas for the maximal and minimal ranks and inertias of the linear Hermitian matrix function A -BX -(BX) \* with respect to a variable matrix X. As applications, we derive the extremal ranks and inertias of the matrices X Β±X \* , where X is a solution