Add to ORKGIn this survey, we first examine the notion of nonrational polytope and nonrational fan in the context of toric geometry. We then discuss and interrelate some recent developments in the subject.Comment: 17 pages, 10 figure
We extend the Billera-Ehrenborg-Readdy map between the intersection lattice and face lattice of a ce...
ABSTRACT. A toroidal embedding is defined which does not assume the fan con-sists of rational cones....
braic K-theory is largely the K-theory of rings. At first sight, polytopes, by their very nature, mu...
Toric geometry provides a bridge between algebraic geometry and combina-torics of fans and polytopes...
Toric geometry provides a bridge between algebraic geometry and combinatorics of fans and polytopes....
The objective of this essay is to introduce some of the broad theory involving toric varieties, and ...
The objective of this essay is to introduce some of the broad theory involving toric varieties, and ...
In algebraic geometry actions of the torus \( (C^∗)^n \) on algebraic varieties with nice properties...
In algebraic geometry actions of the torus \( (C^∗)^n \) on algebraic varieties with nice properties...
In this note we collect some results on the deformation theory of toric Fano varieties.Comment: 24 p...
We survey three recent developments in algebraic combinatorics. The first is the theory of cluster a...
This book presents a course in the geometry of convex polytopes in arbitrary dimension, suitable for...
My PhD is about syzygies of toric varieties and curves on toric surfaces. Toric geometry is a part o...
Toric quasifolds are highly singular spaces that were first introduced in order to address, from the...
The thesis provides an introduction into the theory of affine and abstract toric vari- eties. In the...
We extend the Billera-Ehrenborg-Readdy map between the intersection lattice and face lattice of a ce...
ABSTRACT. A toroidal embedding is defined which does not assume the fan con-sists of rational cones....
braic K-theory is largely the K-theory of rings. At first sight, polytopes, by their very nature, mu...
Toric geometry provides a bridge between algebraic geometry and combina-torics of fans and polytopes...
Toric geometry provides a bridge between algebraic geometry and combinatorics of fans and polytopes....
The objective of this essay is to introduce some of the broad theory involving toric varieties, and ...
The objective of this essay is to introduce some of the broad theory involving toric varieties, and ...
In algebraic geometry actions of the torus \( (C^∗)^n \) on algebraic varieties with nice properties...
In algebraic geometry actions of the torus \( (C^∗)^n \) on algebraic varieties with nice properties...
In this note we collect some results on the deformation theory of toric Fano varieties.Comment: 24 p...
We survey three recent developments in algebraic combinatorics. The first is the theory of cluster a...
This book presents a course in the geometry of convex polytopes in arbitrary dimension, suitable for...
My PhD is about syzygies of toric varieties and curves on toric surfaces. Toric geometry is a part o...
Toric quasifolds are highly singular spaces that were first introduced in order to address, from the...
The thesis provides an introduction into the theory of affine and abstract toric vari- eties. In the...
We extend the Billera-Ehrenborg-Readdy map between the intersection lattice and face lattice of a ce...
ABSTRACT. A toroidal embedding is defined which does not assume the fan con-sists of rational cones....
braic K-theory is largely the K-theory of rings. At first sight, polytopes, by their very nature, mu...