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
大学図書館所蔵 全31件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
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  フランス
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  オランダ
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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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