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Associated Primes of Powers of Ideals Read chapter Read first chapter

2020 | OriginalPaper | Chapter

15. An Introduction to the Waring Problem

Authors : Enrico Carlini, Huy Tài Hà, Brian Harbourne, Adam Van Tuyl

Published in: Ideals of Powers and Powers of Ideals

Publisher: Springer International Publishing

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Abstract

An ubiquitous theme in mathematics is the rewriting of mathematical objects. This is usually done to reveal underlying properties, to classify, to solve problems or just for aesthetic reasons!

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previous chapter Final Comments and Further Reading
next chapter Algebra of the Waring Problem for Forms
Literature
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J. Alexander, A. Hirschowitz, Polynomial interpolation in several variables. J. Algebraic Geom. 4(2), 201–221 (1995)MathSciNetMATH
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E. Carlini, Codimension one decompositions and Chow varieties, in Projective Varieties with Unexpected Properties (Walter de Gruyter, Berlin, 2005), pp. 67–79MATH
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A. De Paris, The asymptotic leading term for maximum rank of ternary forms of a given degree. Linear Algebra Appl. 500, 15–29 (2016)MathSciNetCrossRef
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A.V. Geramita, Inverse systems of fat points: Waring’s problem, secant varieties of veronese varieties and parameter spaces for Gorenstein ideals, in The Curves Seminar at Queen’s, vol. 10 (1996), pp. 2–114
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J. Harris, Algebraic Geometry: A First Course. Graduate Texts in Mathematics, vol. 133 (Springer, New York, 1992)CrossRef
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Metadata
Title
An Introduction to the Waring Problem
Authors
Enrico Carlini
Huy Tài Hà
Brian Harbourne
Adam Van Tuyl
Copyright Year
2020
Book
Ideals of Powers and Powers of Ideals

Print ISBN: 978-3-030-45246-9

Electronic ISBN: 978-3-030-45247-6

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-45247-6_15

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