An application of Macaulay’s estimate to sums of squares problems in several complex variables

DOI10.1090/S0002-9939-2014-12367-7zbMath1349.32007arXiv1304.0237OpenAlexW2033933007MaRDI QIDQ5179310

Jennifer Halfpap, Dusty E. Grundmeier

Publication date: 19 March 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.0237

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Special families of functions of several complex variables (32A17) Holomorphic functions of several complex variables (32A99)

Related Items (7)

Algebraic properties of Hermitian sums of squares, II ⋮ Local holomorphic isometries of a modified projective space into a standard projective space; rational conformal factors ⋮ On the HJY Gap Conjecture in CR geometry vs. the SOS Conjecture for polynomials ⋮ Sum of squares conjecture: the monomial case in \(\mathbb{C}^3\) ⋮ Algebraic properties of Hermitian sums of squares ⋮ Constructing group-invariant CR mappings ⋮ A rank question for homogeneous polynomials

Cites Work

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