The interpolation problem is a significant motivating problem in algebraic geometry and commutative algebra. Naively, the goal of the interpolation problem is to consider a collection of points in some ambient space, perhaps with some restrictions, and to describe all the polynomials that vanish at this collection. Introductions to this problem can be found in [7, 28, 62, 75]. The interpolation problem has applications to other areas of mathematics, including splines [30] and coding theory [40, 57].

Introduction

Guardo E.;Van Tuyl A.
2015-01-01

Abstract

The interpolation problem is a significant motivating problem in algebraic geometry and commutative algebra. Naively, the goal of the interpolation problem is to consider a collection of points in some ambient space, perhaps with some restrictions, and to describe all the polynomials that vanish at this collection. Introductions to this problem can be found in [7, 28, 62, 75]. The interpolation problem has applications to other areas of mathematics, including splines [30] and coding theory [40, 57].
2015
978-3-319-24164-7
978-3-319-24166-1
Commutative Algebra
Coordinate Ring
Double Point
Hilbert Function
Interpolation Problem
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/522363
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