An estimate of approximation constants for \(p\)-adic and real varieties

DOI10.1007/BF02567935zbMath0745.14019MaRDI QIDQ1173609

Dirk Bollaerts

Publication date: 25 June 1992

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155568

zbMATH Keywords

singularityNewton polyhedronreal variety\(p\)-adic varieties

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Local ground fields in algebraic geometry (14G20) Real algebraic and real-analytic geometry (14P99) Local deformation theory, Artin approximation, etc. (14B12)

Related Items (1)

Temperedness of measures defined by polynomial equations over local fields

Cites Work

• \(p\)-adic and real subanalytic sets
• Polyèdre de Newton et distribution \(f^ s_+\). I. (Newton polyhedra and distributions \(f^ s_+\). I.)
• Ultraproducts and approximation in local rings. I
• Estimation of Lojasiewicz exponents and Newton polygons
• The rationality of the Poincaré series associated to the p-adic points on a variety
• Bounds for the degrees in the Nullstellensatz
• Newton polyhedra and toroidal varieties
• Sur les exposants de Lojasiewicz
• Newton polyhedra and estimation of oscillating integrals
• Algebraic approximation of structures over complete local rings
• CRITICAL POINTS OF SMOOTH FUNCTIONS AND THEIR NORMAL FORMS
• Rational points in Henselian discrete valuation rings
• Singular Points of Complex Hypersurfaces. (AM-61)
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