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Host Evolutionary Lineage Shapes Assembly, Network Topology, and Metabolic Potential of Coral Skeletal Endolithic Microbiomes. [PDF]
MicroorganismsBai C, Ju H, Zhang J, Li J.
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Tropical Methods in Geometry [PDF]
Oberwolfach Reports, 2023 The workshop "Tropical methods in geometry" was devoted to a wide discussion and exchange of ideas between the leading experts representing various points of view on the subject including tropical methods in symplectic and Lagrangian geometry, topology of real algebraic varieties and tropical homology, tropical methods in algebraic, Berkovich analytic ...
Ilia Itenberg +3 more
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, 2018 What kind of strange spaces hide behind the enigmatic name of tropical geometry? In the tropics, just as in other geometries, one of the simplest objects is a line. Therefore, we begin our exploration by considering tropical lines. Afterwards, we take a look at tropical arithmetic and algebra, and describe how to define tropical curves using tropical ...
Brugallé, Erwan +3 more
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, 2007 Tropical Geometry is a new and rapidly developing discipline that touches upon many branches of modern mathematics. It is characterized by the transition of algebro-geometric objects to piecewise-linear ones, thereby retaining much of the algebro-geometric data while unveiling novel sets of techniques for outstanding problems.
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An invitation to tropical geometry
Evolutionary and Institutional Economics Review, 2015Applications of tropical geometry to various problems in economics emerged recently and gained a considerable amount of attention. This article provides a gentle introduction to the notions and techniques of tropical geometry for the mathematically inclined reader.
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Nonarchimedean and Tropical Geometry [PDF]
, 2016 We give a survey of joint work with Mircea Musta\c{t}\u{a} and Chenyang Xu on the connections between the geometry of Berkovich spaces over the field of Laurent series and the birational geometry of one-parameter degenerations of smooth projective ...
Nicaise, J
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Tropical analytic geometry, Newton polygons, and tropical intersections [PDF]
Advances in Mathematics, 2012 In this paper we use the connections between tropical algebraic geometry and rigid-analytic geometry in order to prove two main results. We use tropical methods to prove a theorem about the Newton polygon for convergent power series in several variables:
Joseph Rabinoff
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Oberwolfach Reports, 2008
This is the first appearance of “Tropical Geometry” as the topic of an Oberwolfach workshop, though the subject figured earlier at the Forschungsinstitut as an Oberwolfach Seminar on “Tropical Algebraic Geometry” in October 2004. The workshop was organized by Eva-Maria Feichtner (U Bremen), Andreas Gathmann (U Kaiserslautern), Ilia Itenberg (U ...
Eva Maria Feichtner +3 more
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This is the first appearance of “Tropical Geometry” as the topic of an Oberwolfach workshop, though the subject figured earlier at the Forschungsinstitut as an Oberwolfach Seminar on “Tropical Algebraic Geometry” in October 2004. The workshop was organized by Eva-Maria Feichtner (U Bremen), Andreas Gathmann (U Kaiserslautern), Ilia Itenberg (U ...
Eva Maria Feichtner +3 more
openaire +1 more source