Sectional genus and the volume of a lattice polytope

DOI10.1007/s10801-020-00961-4zbMath1465.52026OpenAlexW3084220510MaRDI QIDQ2038909

Ryo Kawaguchi

Publication date: 7 July 2021

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-020-00961-4

zbMATH Keywords

toric varietysectional genuslattice polytopediscrete volumepolarized variety

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Divisors, linear systems, invertible sheaves (14C20) Adjunction problems (14N30)

Related Items

Castelnuovo polytopes, Unnamed Item

Cites Work

• Projective normality of toric 3-folds with non-big adjoint hyperplane sections
• Complete classification of reflexive polyhedra in four dimensions
• Lattice vertex polytopes with interior lattice points
• Algebraic surfaces of general type with \(c^ 2_ 1 =3p_ g -7\)
• Examples of degenerations of Castelnuovo surfaces
• Classification of reflexive polyhedra in three dimensions
• A lower bound theorem for Ehrhart polynomials of convex polytopes
• On the sectional geometric genus of quasi-polarized varieties. II
• On the Sectional Geometric Genus of Quasi-Polarized Varieties. I
• Computing the Continuous Discretely
• Bounds for Lattice Polytopes Containing a Fixed Number of Interior Points in a Sublattice
• Decompositions of Rational Convex Polytopes
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• Degree Ten Manifolds of Dimensionn Greater than or Equal to 3
• Unnamed Item
• Unnamed Item
• Unnamed Item