We 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
This master thesis investigates discrete geometry in the tropical semiring (R,min,+), setting its ma...
Tropical geometry is an emerging field with strong connections in a wide array of areas both inside ...
We establish a new notion of tropical convexity for signed tropical numbers. We provide several equi...
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...
The authors thank the anonymous referee for many useful comments, and in particular for drawing our ...
International audienceWe develop a tropical analogue of the classical double description method allo...
arXiv:1611.04148International audienceWe introduce tropical analogues of the notion of volume of pol...
We develop a tropical analogue of the classical double description method allowing one to compute an...
In recent decades, tropical mathematics gradually evolved as a field of study in mathematics and it ...
This dissertation presents recent contributions in tropical geometry with a view towards positivity,...
Abstract The tropical convex hull of a finite set of points in tropical projective space has a natur...
This paper is about the combinatorics of finite point configurations in the tropical projective spac...
Tropical geometry is a relatively new field of mathematics that studies the tropicalization map: a m...
In the setting of tropical mathematics, geometric objects are rich with inherent combinatorial struc...
This master thesis investigates discrete geometry in the tropical semiring (R,min,+), setting its ma...
Tropical geometry is an emerging field with strong connections in a wide array of areas both inside ...
We establish a new notion of tropical convexity for signed tropical numbers. We provide several equi...
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...
The authors thank the anonymous referee for many useful comments, and in particular for drawing our ...
International audienceWe develop a tropical analogue of the classical double description method allo...
arXiv:1611.04148International audienceWe introduce tropical analogues of the notion of volume of pol...
We develop a tropical analogue of the classical double description method allowing one to compute an...
In recent decades, tropical mathematics gradually evolved as a field of study in mathematics and it ...
This dissertation presents recent contributions in tropical geometry with a view towards positivity,...
Abstract The tropical convex hull of a finite set of points in tropical projective space has a natur...
This paper is about the combinatorics of finite point configurations in the tropical projective spac...
Tropical geometry is a relatively new field of mathematics that studies the tropicalization map: a m...
In the setting of tropical mathematics, geometric objects are rich with inherent combinatorial struc...
This master thesis investigates discrete geometry in the tropical semiring (R,min,+), setting its ma...
Tropical geometry is an emerging field with strong connections in a wide array of areas both inside ...
We establish a new notion of tropical convexity for signed tropical numbers. We provide several equi...
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