Add to ORKGIn this thesis, I extend tropicalization of subvarieties of algebraic tori over a trivially valued algebraically closed field to subvarieties of spherical homogeneous spaces. I show the existence of tropical compactifications in a general setting. Given a tropical compactification of a closed subvariety of a spherical homogeneous space, I show that the support of the colored fan of the ambient spherical variety agrees with the tropicalization of the closed subvariety. I provide examples of tropicalization of subvarieties of GL(n), SL(n), and PGL(n)
Tropical geometry is a relatively new field of mathematics that studies the tropicalization map: a m...
Hyperfields are structures that generalise the notion of a field by way of allowing the addition ope...
In this paper we give an interpretation to the boundary points of the compactification of the parame...
In this thesis, I extend tropicalization of subvarieties of algebraic tori over a trivially valued a...
The tropicalization of a projective toric variety is a topological space that "looks like" the assoc...
Tropical geometry is an area of mathematics between algebraic geometry, polyhedral geometry and comb...
We study compactifications of subvarieties of algebraic tori using methods from the still developing...
The main topic of this thesis is the tropicalizations of Severi varieties, which we call tropical S...
Dans cette thèse, nous démontrons que la cohomologie tropicale d'une variété tropicale projective li...
We introduce a scheme-theoretic enrichment of the principal objects of tropical geometry. Using a ca...
We study the relation between the integer tropical points of a cluster variety (satisfying the full ...
Tropical geometry is a developing area of mathematics in between algebraic geometry, combinatorics a...
In recent years, tropical geometry has developed as a theory on its own. Its two main aims are to an...
We study compactifications of subvarieties of algebraic tori using methods from the still developing...
In this thesis, we prove that the tropical cohomology of a smooth projective tropical variety verifi...
Tropical geometry is a relatively new field of mathematics that studies the tropicalization map: a m...
Hyperfields are structures that generalise the notion of a field by way of allowing the addition ope...
In this paper we give an interpretation to the boundary points of the compactification of the parame...
In this thesis, I extend tropicalization of subvarieties of algebraic tori over a trivially valued a...
The tropicalization of a projective toric variety is a topological space that "looks like" the assoc...
Tropical geometry is an area of mathematics between algebraic geometry, polyhedral geometry and comb...
We study compactifications of subvarieties of algebraic tori using methods from the still developing...
The main topic of this thesis is the tropicalizations of Severi varieties, which we call tropical S...
Dans cette thèse, nous démontrons que la cohomologie tropicale d'une variété tropicale projective li...
We introduce a scheme-theoretic enrichment of the principal objects of tropical geometry. Using a ca...
We study the relation between the integer tropical points of a cluster variety (satisfying the full ...
Tropical geometry is a developing area of mathematics in between algebraic geometry, combinatorics a...
In recent years, tropical geometry has developed as a theory on its own. Its two main aims are to an...
We study compactifications of subvarieties of algebraic tori using methods from the still developing...
In this thesis, we prove that the tropical cohomology of a smooth projective tropical variety verifi...
Tropical geometry is a relatively new field of mathematics that studies the tropicalization map: a m...
Hyperfields are structures that generalise the notion of a field by way of allowing the addition ope...
In this paper we give an interpretation to the boundary points of the compactification of the parame...
