Add to ORKGThe objective of this essay is to introduce some of the broad theory involving toric varieties, and fit into it some recent advances about toric orbifolds. We first introduce the geometric-combinatorial objects the theory of toric varieties is built upon, and pursue the toric variety of a lattice polytope. Once we are familiar with the basics about toric varieties, we introduce topological orbifolds, a generalization of manifolds that appear naturally when studying toric varieties. Finally, we alter the construction of the toric variety defined by a fan in order to create new orbifolds from non-orbifold toric varieties
According to Batyrev the Mori cone of a smooth, complete and projective toric variety can be generat...
The thesis provides an introduction into the theory of affine and abstract toric vari- eties. In the...
A toric arrangement is a finite set of hypersurfaces in a complex torus, each hypersurface being the...
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...
Toric geometry provides a bridge between algebraic geometry and combina-torics of fans and polytopes...
In algebraic geometry actions of the torus \( (C^∗)^n \) on algebraic varieties with nice properties...
We will show how to construct spaces called toric varieties from lattice polytopes. Toric fibrations...
A toric variety is a geometric object containing an algebraic torus as a Zariski open, dense subset....
Toric geometry provides a bridge between algebraic geometry and combinatorics of fans and polytopes....
My PhD is about syzygies of toric varieties and curves on toric surfaces. Toric geometry is a part o...
The thesis provides an introduction into the theory of affine and abstract toric vari- eties. In the...
The first purpose of this dissertation is to introduce and develop a theory of toric stacks which en...
This thesis is a study of the theory of orbifolds and their applications in low-dimensional topolog...
This book is about toric topology, a new area of mathematics that emerged at the end of the 1990s on...
According to Batyrev the Mori cone of a smooth, complete and projective toric variety can be generat...
The thesis provides an introduction into the theory of affine and abstract toric vari- eties. In the...
A toric arrangement is a finite set of hypersurfaces in a complex torus, each hypersurface being the...
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...
Toric geometry provides a bridge between algebraic geometry and combina-torics of fans and polytopes...
In algebraic geometry actions of the torus \( (C^∗)^n \) on algebraic varieties with nice properties...
We will show how to construct spaces called toric varieties from lattice polytopes. Toric fibrations...
A toric variety is a geometric object containing an algebraic torus as a Zariski open, dense subset....
Toric geometry provides a bridge between algebraic geometry and combinatorics of fans and polytopes....
My PhD is about syzygies of toric varieties and curves on toric surfaces. Toric geometry is a part o...
The thesis provides an introduction into the theory of affine and abstract toric vari- eties. In the...
The first purpose of this dissertation is to introduce and develop a theory of toric stacks which en...
This thesis is a study of the theory of orbifolds and their applications in low-dimensional topolog...
This book is about toric topology, a new area of mathematics that emerged at the end of the 1990s on...
According to Batyrev the Mori cone of a smooth, complete and projective toric variety can be generat...
The thesis provides an introduction into the theory of affine and abstract toric vari- eties. In the...
A toric arrangement is a finite set of hypersurfaces in a complex torus, each hypersurface being the...