Tropicalization and irreducibility of generalized Vandermonde determinants

DOI10.1090/S0002-9939-09-09951-1zbMath1229.12005arXiv0803.2166MaRDI QIDQ3642649

Luis Felipe Tabera, Carlos D'Andrea

Publication date: 6 November 2009

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

Full work available at URL: https://arxiv.org/abs/0803.2166

zbMATH Keywords

valuationstropical geometryVandermonde determinantsmultivariate factorization

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Determinantal varieties (14M12) Polynomials in general fields (irreducibility, etc.) (12E05) Special polynomials in general fields (12E10)

Related Items

On the computation of rational points of a hypersurface over a finite field ⋮ Tropical Vandermonde matrices ⋮ Hadamard products of linear spaces

Cites Work

• Elimination theory for tropical varieties
• On toric codes and multivariate Vandermonde matrices
• Théoremes de Bertini et applications
• On multiplication and factorization of polynomials. II: Irreducibility discussion
• Vandermonde interpolation using special associated matrices
• Polynomial interpolation in several variables
• Non-archimedean amoebas and tropical varieties
• On Multivariate Interpolation
• Enumerative tropical algebraic geometry in ℝ²
• The Newton polygon of plane curves with many rational points
• Absolute irreducibility of polynomials via Newton polytopes
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