Algebraic and combinatorial aspects of tropical geometry : CIEM Workshop, tropical geometry, December 12-16, 2011, International Center for Mathematical Meetings, Castro Urdiales, Spain
著者
書誌事項
Algebraic and combinatorial aspects of tropical geometry : CIEM Workshop, tropical geometry, December 12-16, 2011, International Center for Mathematical Meetings, Castro Urdiales, Spain
（Contemporary mathematics, 589）
American Mathematical Society, c2013
- タイトル別名
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Tropical geometry, algebra and combinatorics
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注記
Includes bibliographical references
内容説明・目次
内容説明
This volume contains the proceedings of the CIEM workshop on Tropical Geometry, held December 12-16, 2011, at the International Centre for Mathematical Meetings (CIEM), Castro Urdiales, Spain. Tropical geometry is a new and rapidly developing field of mathematics which has deep connections with various areas of mathematics and physics, such as algebraic geometry, symplectic geometry, complex analysis, dynamical systems, combinatorics, statistical physics, and string theory. As reflected by the content of this volume, this meeting was mainly focused on the geometric side of the tropical world with an emphasis on relations between tropical geometry, algebraic geometry, and combinatorics.
This volume provides an overview of current trends concerning algebraic and combinatorial aspects of tropical geometry through eleven papers combining expository parts and development of modern techniques and tools.
目次
Table of Contents:
Intersection multiplicity numbers between tropical hypersurfaces by B. Bertrand and F. Bihan
On the total curvature of tropical hypersurfaces by B. Bertrand, L. L. de Medrano, and J.-J. Risler
Tropical Teichmuller and Siegel spaces by M. Chan, M. Melo, and F. Viviani
Elliptic curves in honeycomb form by M. Chan and B. Sturmfels
Tropically unirational varieties by J. Draisma and B. Frenk
A guide to tropicalizations by W. Gubler
Categorical notions of layered tropical algebra and geometry by Z. Izhakian, M. Knebusch, and L. Rowen
Tropical realization spaces for polyhedral complexes by E. Katz
Local tropicalization by P. Popescu-Pampu and D. Stepanov
Some acyclic systems of permutations are not realizable by triangulations of a product of simplices by F. Santos
Tropical $(1,1)$-homology for floor decomposed surfaces by K. M. Shaw
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