搜索结果: 1-12 共查到“数学 tropical”相关记录12条 . 查询时间(0.109 秒)
Based on a description of project networks by max-plus algebra and poset, the adjacency of critical paths is presented using tropical geometry.
Using Tropical Degenerations For Proving The Nonexistence Of Certain Nets
Tropical Degenerations The Nonexistence Of Certain Nets Algebraic Geometry
2011/9/22
Abstract: A net is a special configuration of lines and points in the projective plane. There are certain restrictions on the number of its lines and points. We proved that there cannot be any (4,4) n...
We study the notion of singular tropical hypersurfaces of any dimension. We characterize the singular points in terms of tropical Euler derivatives and we give an algorithm to compute all singular poi...
Tropical varieties with polynomial weights and corner loci of piecewise polynomials
Tropical varieties polynomial weights corner loci of piecewise polynomials
2011/2/28
Counting Euler characteristics of the discriminant of the quadratic equation in terms of
Newton polytopes in two different ways, G. Gusev ([Gus]) found an unexpected relation for
mixed volumes of tw...
Describing the combinatorial structure of the tropical complex C of a tropical ma-troid polytope, we obtain a formula for the coarse types of the maximal cells of C. Due to the connection between trop...
The diagonal of tropical matroid varieties and cycle intersections
diagonal of tropical matroid varieties cycle intersections
2011/2/21
We define an intersection product of tropical cycles on matroid varieties (via cutting out the diagonal) and show that it is well-behaved. In particular, this enables us to intersect cycles on moduli ...
Example of a 6-by-6 Matrix with Different Tropical and Kapranov Ranks
matrix theory tropical semiring tropical rank Kapranov rank
2011/2/28
We provide an example of a 6-by-6 matrix A such that rkt(A) = 4, rkK(A) = 5. This answers a question asked by M. Chan, A. Jensen, and E. Rubei.
This paper is a combinatorial and computational study of the moduli space Mtr g of tropical curves of genus g, the moduli space Atr g of principally polarized tropical abelian varieties, and the tropi...
Representation Theory over Tropical Semifield and Langlands Correspondence
Representation Theory Tropical Semifield Langlands Correspondence
2010/11/18
Previously a class of infinite-dimensional integral representations of the classical gl_{\ell+1}-Whittaker functions and local Archimedean local L-factors was constructed using two-dimensional topolo...
Construction of schemes over $F_1$, and over idempotent rings: towards tropical geometry
$F_1$ over idempotent rings towards tropical geometry
2010/11/26
In this paper, we give some categorical description of the general spectrum functor, defining it as an adjoint of a global section functor.The general spectrum functor includes that of F1 and of semir...
Lifting Tropical Curves in Space and Linear Systems on Graphs
Tropical Curves in Space Linear Systems Graphs
2010/12/2
Tropicalization is a procedure for associating a polyhedral complex to a subva-riety of an algebraic torus. We study the question on which graphs arise from tropicalizing algebraic curves. By using Ba...
Triangulations of $\Delta_{n-1} \times \Delta_{d-1}$ and Tropical Oriented Matroids
Triangulations $\Delta_{n-1} \times \Delta_{d-1}$ Tropical Oriented Matroids
2010/12/13
Develin and Sturmfels showed that regular triangulations of n1 d1 can be thought
as tropical polytopes. Tropical oriented matroids were de ned by Ardila and Develin, and were
...