Torical modification of Newton non-degenerate ideals

DOI10.1007/s13398-012-0100-8zbMath1262.14041arXiv1209.5104OpenAlexW1977903492MaRDI QIDQ1940358

Fuensanta Aroca, Khurram Shabbir, Mirna Gómez-Morales

Publication date: 6 March 2013

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.5104

zbMATH Keywords

Newton non-degenerateSingularityTropical Geometry

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Singularities of surfaces or higher-dimensional varieties (14J17)

Related Items

Nonisolated forms of rational triple point singularities of surfaces and their resolutions, On Archimedean zeta functions and Newton polyhedra, Resolving singularities of curves with one toric morphism, The embedded Nash problem of birational models of rational triple singularities, The monodromy conjecture for a space monomial curve with a plane semigroup, Jet schemes and minimal toric embedded resolutions of rational double point singularities, The motivic Igusa zeta function of a space monomial curve with a plane semigroup, The Combinatorics of Plane Curve Singularities

Uses Software

• SINGULAR
• Gfan

Cites Work

• Stable pair, tropical, and log canonical compactifications of moduli spaces of del Pezzo surfaces
• Homology of tropical varieties
• Elimination theory for tropical varieties
• The Gröbner fan of an ideal
• Combinatorics of rational singularities
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Monodromy Filtrations and the Topology of Tropical Varieties
• PUISEUX POWER SERIES SOLUTIONS FOR SYSTEMS OF EQUATIONS
• Some results on tropical compactifications
• Introduction to Toric Varieties. (AM-131)
• Computing Gröbner fans
• Invariants of Newton non-degenerate surface singularities
• Local zeta function for curves, non-degeneracy conditions and Newton polygons
• Mixed Newton numbers and isolated complete intersection singularities
• Compactifications of subvarieties of tori
• Tropical algebraic geometry
• Tropical algebraic geometry
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item