A sharp bound for the degree of proper monomial mappings between balls

DOI10.1007/BF02921879zbMath1052.26016OpenAlexW2054702915MaRDI QIDQ1429297

Šimon Kos, Emily Riehl, John P. D'Angelo

Publication date: 18 May 2004

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02921879

zbMATH Keywords

monomialsproper holomorphic mappingsLucas polynomial

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Special sequences and polynomials (11B83) Local analytic geometry (32B99) Real polynomials: analytic properties, etc. (26C05)

Related Items (18)

Rational sphere maps, linear programming, and compressed sensing ⋮ SIGNATURE PAIRS FOR GROUP-INVARIANT HERMITIAN POLYNOMIALS ⋮ The reflection map and infinitesimal deformations of sphere mappings ⋮ D'Angelo conjecture in the third gap interval ⋮ On highly degenerate CR maps of spheres ⋮ Initial monomial invariants of holomorphic maps ⋮ On the third gap for proper holomorphic maps between balls ⋮ An Interesting Family of Symmetric Polynomials ⋮ Normal forms, Hermitian operators, and CR maps of spheres and hyperquadrics ⋮ Sum of squares conjecture: the monomial case in \(\mathbb{C}^3\) ⋮ \(r\)-stable hypersimplices ⋮ A monotonicity result for volumes of holomorphic images ⋮ Number-theoretic properties of certain CR mappings ⋮ Hermitian symmetric polynomials and CR complexity ⋮ Uniqueness of certain polynomials constant on a line ⋮ An optimization problem arising in CR geometry ⋮ COMPLEXITY RESULTS FOR CR MAPPINGS BETWEEN SPHERES ⋮ A rank question for homogeneous polynomials

Cites Work

• Maps from the two-ball to the three-ball
• Polynomial proper maps between balls
• Invariant holomorphic mappings
• Spherical space forms, CR-mappings, and proper maps between balls
• ON THE ANALYTIC CONTINUATION OF HOLOMORPHIC MAPPINGS
• Several Complex Variables and the Geometry of Real Hypersurfaces
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