Multiplicity operators

DOI10.1007/s11856-015-1247-8zbMath1336.32010arXiv1309.1868OpenAlexW3037053490MaRDI QIDQ891565

Gal Binyamini, Dmitri Novikov

Publication date: 17 November 2015

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

Full work available at URL: https://arxiv.org/abs/1309.1868

zbMATH Keywords

idealsmultiplicitiesdivision theoremsintegral closureNoetherian systemszeros of holomorphic maps

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Local complex singularities (32S05) Analytic algebras and generalizations, preparation theorems (32B05)

Related Items (2)

Multiplicities of Noetherian deformations ⋮ Point counting for foliations over number fields

Cites Work

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• Singularities of differentiable maps, Volume 2. Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous and revised by the authors and James Montaldi
• Polynomial bounds for the oscillation of solutions of Fuchsian systems
• Integral closure of ideals and equisingularity
• An algebraic formula for the degree of a \(C^\infty\) map germ. Sur une inegalite a la Minkowski pour les multiplicites
• Multiplicities of Pfaffian intersections, and the Łojasiewicz inequality
• Topologically Noetherian analytic algebras. Khovanskij's theory
• Classical Poincaré metric pulled back off singularities using a Chow-type theorem and desingularization
• Convex bodies and multiplicities of ideals
• A Global Lojasiewicz Inequality for Algebraic Varieties
• Sharp Effective Nullstellensatz

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