Add to ORKGWe introduce a novel intrinsic volume concept in tropical geometry. This is achieved by developing the foundations of a tropical analog of lattice point counting in polytopes. We exhibit the basic properties and compare it to existing measures. Our exposition is complemented by a brief study of arising complexity questions
Subdivisions of products of simplices, and their applications, appear across mathematics. In this th...
We study compactifications of subvarieties of algebraic tori using methods from the still developing...
Tropical mathematics is used to establish a correspondence between certain microscopic and macroscop...
We introduce a novel intrinsic volume concept in tropical geometry. This is achieved by developing t...
International audienceWe investigate the complexity of counting the number of integer points in trop...
arXiv:1611.04148International audienceWe introduce tropical analogues of the notion of volume of pol...
The notions of convexity and convex polytopes are introduced in the setting of tropical geometry. Co...
The authors thank the anonymous referee for many useful comments, and in particular for drawing our ...
In recent decades, tropical mathematics gradually evolved as a field of study in mathematics and it ...
Abstract. Let g1,..., gk be tropical polynomials in n variables with Newton polytopes P1,..., Pk. We...
Preprint arXiv:1408.6176International audienceIt is known that any tropical polytope is the image un...
Tropical Geometry is a branch of Geometry that has appeared just recently. Formally, it can be viewe...
This master thesis investigates discrete geometry in the tropical semiring (R,min,+), setting its ma...
Tropical geometry can be viewed as an efficient tool to organize degenerations. The techniques to co...
Abstract. In this survey, we describe three tropical enumerative prob-lems and the corresponding mod...
Subdivisions of products of simplices, and their applications, appear across mathematics. In this th...
We study compactifications of subvarieties of algebraic tori using methods from the still developing...
Tropical mathematics is used to establish a correspondence between certain microscopic and macroscop...
We introduce a novel intrinsic volume concept in tropical geometry. This is achieved by developing t...
International audienceWe investigate the complexity of counting the number of integer points in trop...
arXiv:1611.04148International audienceWe introduce tropical analogues of the notion of volume of pol...
The notions of convexity and convex polytopes are introduced in the setting of tropical geometry. Co...
The authors thank the anonymous referee for many useful comments, and in particular for drawing our ...
In recent decades, tropical mathematics gradually evolved as a field of study in mathematics and it ...
Abstract. Let g1,..., gk be tropical polynomials in n variables with Newton polytopes P1,..., Pk. We...
Preprint arXiv:1408.6176International audienceIt is known that any tropical polytope is the image un...
Tropical Geometry is a branch of Geometry that has appeared just recently. Formally, it can be viewe...
This master thesis investigates discrete geometry in the tropical semiring (R,min,+), setting its ma...
Tropical geometry can be viewed as an efficient tool to organize degenerations. The techniques to co...
Abstract. In this survey, we describe three tropical enumerative prob-lems and the corresponding mod...
Subdivisions of products of simplices, and their applications, appear across mathematics. In this th...
We study compactifications of subvarieties of algebraic tori using methods from the still developing...
Tropical mathematics is used to establish a correspondence between certain microscopic and macroscop...