EFFECTIVE ŁOJASIEWICZ INEQUALITY FOR ARITHMETICALLY DEFINED VARIETIES AND A GEOMETRIC APPLICATION TO BIHOMOGENEOUS POLYNOMIALS

DOI10.1142/S0129167X09005534zbMath1229.32017MaRDI QIDQ3395351

Wing-Keung To, Sai Kee Yeung

Publication date: 26 August 2009

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

arithmetic varietyŁojasiewicz inequalitybihomogeneous polynomial

Mathematics Subject Classification ID

Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Analytic spaces (32C99) Embedding theorems for complex manifolds (32Q40)

Related Items (2)

Effective geometric Hermitian positivstellensatz ⋮ Sums of squares on hypersurfaces

Cites Work

• Sur des hauteurs alternatives. I. (On alternative heights. I)
• Separation of algebraic sets and the Łojasiewicz exponent of polynomial mappings
• Sur des hauteurs alternatives. II (On alternative heights. II)
• Uniform denominators in Hilbert's seventeenth problem
• A stabilization theorem for Hermitian forms and applications to holomorphic mappings
• EFFECTIVE ISOMETRIC EMBEDDINGS FOR CERTAIN HERMITIAN HOLOMORPHIC LINE BUNDLES
• An effective Łojasiewicz inequality for real polynomials

This page was built for publication: EFFECTIVE ŁOJASIEWICZ INEQUALITY FOR ARITHMETICALLY DEFINED VARIETIES AND A GEOMETRIC APPLICATION TO BIHOMOGENEOUS POLYNOMIALS