Higher order duality and toric embeddings

DOI10.5802/aif.2851zbMath1329.14098arXiv1111.4641OpenAlexW2963625449MaRDI QIDQ486756

Sandra Di Rocco, Alicia Dickenstein, Ragni Piene

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.4641

zbMATH Keywords

toric varietytropicalizationhigher order projective duality

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25)

Related Items

Linear Toric Fibrations, Discriminants, Polytopes, and Toric Geometry, Higher order selfdual toric varieties, Arithmetics and combinatorics of tropical Severi varieties of univariate polynomials, The Newton polygon of a planar singular curve and its subdivision, Inflectional loci of quadric fibrations, Characteristic classes of affine varieties and Plücker formulas for affine morphisms, Bivariate systems of polynomial equations with roots of high multiplicity

Uses Software

• SINGULAR
• TropLi

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A geometric degree formula for \(A\)-discriminants and Euler obstructions of toric varieties
• Singular tropical hypersurfaces
• Varieties with small dual varieties. I
• Varieties with small dual varieties. II
• Generation of \(k\)-jets on toric varieties
• The adjunction theory of complex projective varieties
• SINGULAR: A computer algebra system for singularity theory, algebraic geometry and commutative algebra
• Vanishing theorems on toric varieties.
• Computing tropical linear spaces
• Generation of jets on \(K3\) surfaces
• Inflectional loci of scrolls
• Discriminants, resultants, and multidimensional determinants
• Polyhedral adjunction theory
• Osculatory behavior and second dual varieties of Del Pezzo surfaces
• Duality for rational normal scrolls
• Non-archimedean amoebas and tropical varieties
• PROJECTIVE ℚ-FACTORIAL TORIC VARIETIES COVERED BY LINES
• Tropical discriminants
• THE GEOMETRY OF TORIC VARIETIES
• Higher order dual varieties of projective surfaces
• Inflectional loci of scrolls over smooth, projective varieties
• PROJECTIVE DUALITY OF TORIC MANIFOLDS AND DEFECT POLYTOPES
• Sous-groupes algébriques de rang maximum du groupe de Cremona
• Compactifications of subvarieties of tori