Cover Image

Reflexive polytopes and the Picard ranks of Gorenstein toric Fano varieties

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	He, Zhuang
Format:	Preprint
Published:	2025
Subjects:	Algebraic Geometry Combinatorics 14J45, 14M25 (Primary) 52B20, 14F05 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Optimal upper bounds for anti-canonical volumes of singular toric Fano varieties
by: Zou, Yu
Published: (2024)

Gorenstein Simplices and Even Binary Self-Complementary Codes
by: Tsuchiya, Akiyoshi
Published: (2026)

Gorenstein toric Schubert varieties in Grassmannians
by: Kim, Shin-young, et al.
Published: (2024)

Preserving Hodge Vectors of Lattice Polytopes
by: Kurylenko, Vadym, et al.
Published: (2026)

A classification algorithm for reflexive simplices
by: Ghirlanda, Marco
Published: (2025)

Interpolation of toric varieties
by: Dickenstein, Alicia, et al.
Published: (2023)

The structure of exceptional sequences on toric varieties of Picard rank two
by: Altmann, Klaus, et al.
Published: (2021)

The Fine interior of dilations of a rational polytope
by: Bohnert, Martin
Published: (2024)

Smoothing Gorenstein toric Fano 3-folds
by: Corti, Alessio, et al.
Published: (2024)

Lattice 3-polytopes of lattice width 2 and corresponding toric hypersurfaces
by: Bohnert, Martin
Published: (2024)

On a combinatorial description of the Gorenstein index for varieties with torus action
by: Iber, Philipp, et al.
Published: (2024)

An explicit bound for complements on toric varieties
by: Ambro, Florin
Published: (2025)

Root polytopes, flow polytopes, and order polytopes
by: Rietsch, Konstanze, et al.
Published: (2024)

A canonicity criterion for toric varieties and the classification of canonical 4-simplices
by: Ghirlanda, Marco
Published: (2026)

On the classification of toric $2$-Fano manifolds: generic $\mathbb{P}^2$-bundles
by: Araujo, Carolina, et al.
Published: (2026)

Newton-Okounkov polytopes of Schubert varieties arising from cluster structures
by: Fujita, Naoki, et al.
Published: (2020)

On Gorenstein Fano toric complete intersections
by: Hausen, Juergen, et al.
Published: (2025)

Ulrich bundles on smooth toric threefolds with Picard number $2$
by: Bhattacharya, Debojyoti, et al.
Published: (2026)

Newton numbers, vanishing polytopes and algebraic degrees
by: Selyanin, Fedor
Published: (2025)

Local cohomology and singular cohomology of toric varieties via mixed Hodge modules
by: Kim, Hyunsuk, et al.
Published: (2025)

Toricity in families of Fano varieties
by: Ji, Lena, et al.
Published: (2024)

Monomial algebras and $\mathbb{G}_a^n$-equivariant embeddings into toric varieties
by: Chernov, Alexander
Published: (2025)

Gorenstein-Fano polytopes and compactifications of rank 2 polyptych lattices
by: Cook, Adrian, et al.
Published: (2024)

On K-moduli of Fano threefolds with degree 28 and Picard rank 4
by: Heuberger, Liana, et al.
Published: (2023)

Classifying the Fine Polyhedral Spectrum
by: Mora, Sofía Garzón, et al.
Published: (2026)

The Mukai conjecture via Cox rings for special toric ambient embeddings
by: Pearson, Heath
Published: (2026)

Irrationality of degenerations of Fano varieties
by: Birkar, Caucher, et al.
Published: (2024)

Lefschetz morphisms on singular cohomology and local cohomological dimension of toric varieties
by: Kim, Hyunsuk, et al.
Published: (2025)

Newton-Okounkov bodies of flag varieties and combinatorial mutations
by: Fujita, Naoki, et al.
Published: (2020)

Characteristic-free normalized Nash blowup of toric varieties
by: Castillo, Federico, et al.
Published: (2025)

Complements and coregularity of Fano varieties
by: Figueroa, Fernando, et al.
Published: (2022)

Strata of toric hyperplane arrangements, zonotope lattice points, and the Bondal-Thomsen collection
by: Bauermeister, Friedrich, et al.
Published: (2025)

Castelnuovo polytopes
by: Tsuchiya, Akiyoshi
Published: (2020)

Moduli spaces on the Kuznetsov component of Fano threefolds of index 2
by: Altavilla, Matteo, et al.
Published: (2019)

Geometric families of degenerations from mutations of polytopes
by: Escobar, Laura, et al.
Published: (2024)

Classification of toric surface singularities
by: Ambro, Florin
Published: (2024)

Polyptych lattices and marked chain-order polytopes
by: Fujita, Naoki, et al.
Published: (2026)

Integer decomposition property of polytopes
by: Robins, Sharon
Published: (2021)

On the connectedness of the automorphism group of an affine toric variety
by: Kikteva, Veronika
Published: (2024)

The intersection cohomology Hodge module of toric varieties
by: Kim, Hyunsuk, et al.
Published: (2024)