Algebraic properties of Hermitian sums of squares

DOI10.1080/17476933.2019.1652276zbMath1458.32033OpenAlexW2967579507MaRDI QIDQ4960389

Jennifer Halfpap, Dusty E. Grundmeier

Publication date: 15 April 2020

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2019.1652276

zbMATH Keywords

sums of squaresreal polynomialsBetti numbers

Mathematics Subject Classification ID

Real algebraic sets (14P05) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) CR manifolds (32V99)

Related Items (3)

Algebraic properties of Hermitian sums of squares, II ⋮ Sum of squares conjecture: the monomial case in \(\mathbb{C}^3\) ⋮ A rank question for homogeneous polynomials

Cites Work

• Hermitian analogues of Hilbert's 17-th problem
• Initial monomial invariants of holomorphic maps
• Positivity conditions for bihomogeneous polynomials
• A quantitative version of Catlin-D'Angelo-Quillen theorem
• Bounding the rank of Hermitian forms and rigidity for CR mappings of hyperquadrics
• On the representation of hermitian forms as sums of squares
• SIGNATURE PAIRS FOR GROUP-INVARIANT HERMITIAN POLYNOMIALS
• The Geometry of Syzygies
• Several Complex Variables and the Geometry of Real Hypersurfaces
• An application of Macaulay’s estimate to sums of squares problems in several complex variables
• COMPLEX VARIABLES ANALOGUES OF HILBERT'S SEVENTEENTH PROBLEM
• EFFECTIVE ISOMETRIC EMBEDDINGS FOR CERTAIN HERMITIAN HOLOMORPHIC LINE BUNDLES
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