AbstractWe show that any smooth Q-normal lattice polytope P of dimension n and degree d is a strict Cayley polytope if n⩾2d+1. This gives a sharp answer, for this class of polytopes, to a question raised by V.V. Batyrev and B. Nill
We introduce the notion of cracked polytope, and – making use of joint work with Coates and Kasprzyk...
Abstract. In the hierarchy of structural sophistication for lattice polytopes, normal polytopes mark...
AbstractWe introduce the property of convex normality of rational polytopes and give a dimensionally...
AbstractWe show that any smooth Q-normal lattice polytope P of dimension n and degree d is a strict ...
We show that any smooth lattice polytope P with codegree greater or equal than (dim(P) + 3)/2 (or eq...
Abstract. We provide a complete classification up to isomorphism of all smooth convex lattice 3-poly...
AbstractVoronoi defines a partition of the cone of positive semidefinite n -ary formsPn into L -type...
We will show how to construct spaces called toric varieties from lattice polytopes. Toric fibrations...
ABSTRACT. For any non-negative integer k the k-th osculating dimension at a given point x of a varie...
AbstractIn a recent paper, Karpenkov has classified the lattice polytopes (that is, with vertices in...
We completely describe lattice convex polytopes in ℝ n (for any dimension n) that are regular with r...
We study the relationship between geometric properties of toric varieties and combinatorial propert...
ABSTRACT. We introduce a collection of rational convex polytopes associated to a toric vector bundle...
We introduce the notion of cracked polytope, and – making use of joint work with Coates and Kasprzyk...
We introduce a collection of convex polytopes associated to a toric vector bundle on a smooth comple...
We introduce the notion of cracked polytope, and – making use of joint work with Coates and Kasprzyk...
Abstract. In the hierarchy of structural sophistication for lattice polytopes, normal polytopes mark...
AbstractWe introduce the property of convex normality of rational polytopes and give a dimensionally...
AbstractWe show that any smooth Q-normal lattice polytope P of dimension n and degree d is a strict ...
We show that any smooth lattice polytope P with codegree greater or equal than (dim(P) + 3)/2 (or eq...
Abstract. We provide a complete classification up to isomorphism of all smooth convex lattice 3-poly...
AbstractVoronoi defines a partition of the cone of positive semidefinite n -ary formsPn into L -type...
We will show how to construct spaces called toric varieties from lattice polytopes. Toric fibrations...
ABSTRACT. For any non-negative integer k the k-th osculating dimension at a given point x of a varie...
AbstractIn a recent paper, Karpenkov has classified the lattice polytopes (that is, with vertices in...
We completely describe lattice convex polytopes in ℝ n (for any dimension n) that are regular with r...
We study the relationship between geometric properties of toric varieties and combinatorial propert...
ABSTRACT. We introduce a collection of rational convex polytopes associated to a toric vector bundle...
We introduce the notion of cracked polytope, and – making use of joint work with Coates and Kasprzyk...
We introduce a collection of convex polytopes associated to a toric vector bundle on a smooth comple...
We introduce the notion of cracked polytope, and – making use of joint work with Coates and Kasprzyk...
Abstract. In the hierarchy of structural sophistication for lattice polytopes, normal polytopes mark...
AbstractWe introduce the property of convex normality of rational polytopes and give a dimensionally...
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