On the fine interior of three-dimensional canonical Fano polytopes
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Publication:2106281
DOI10.1007/978-3-030-98327-7_2OpenAlexW2991178490MaRDI QIDQ2106281
Karin Schaller, Alexander M. Kasprzyk, Victor V. Batyrev
Publication date: 14 December 2022
Full work available at URL: https://arxiv.org/abs/1911.12048
Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Commutative rings defined by binomial ideals, toric rings, etc. (13F65)
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- Maximal lattice-free polyhedra: finiteness and an explicit description in dimension three
- Complete classification of reflexive polyhedra in four dimensions
- Hypergeometric equations and weighted projective spaces
- Lattice polytopes of degree 2
- A construction of surfaces with geometric p=1, q=0 and \(2\leq (K^ 2)\leq 8\). Counter examples of the global Torelli theorem
- Classification of reflexive polyhedra in three dimensions
- The minimal model theorem for divisors of toric varieties
- The Magma algebra system. I: The user language
- The stringy Euler number of Calabi-Yau hypersurfaces in toric varieties and the Mavlyutov duality
- WEIGHT SYSTEMS FOR TORIC CALABI-YAU VARIETIES AND REFLEXIVITY OF NEWTON POLYHEDRA
- Canonical Toric Fano Threefolds
- Surfaces of general type with $p_g=1$ and $(K,\,K)=1$. I
- Decompositions of Rational Convex Polytopes
- Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
- Notions of Maximality for Integral Lattice-Free Polyhedra: The Case of Dimension Three
- Computing the Continuous Discretely