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Titlebook: Combinatorial Methods in Topology and Algebra; Bruno Benedetti,Emanuele Delucchi,Luca Moci Book 2015 Springer International Publishing Swi

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书目名称Combinatorial Methods in Topology and Algebra
编辑Bruno Benedetti,Emanuele Delucchi,Luca Moci
视频videohttp://file.papertrans.cn/230/229942/229942.mp4
概述Presents contributions from many leading experts and emerging researchers in the field.Offers an up-to-date overview of current trends.Distinctively interdisciplinary and aimed at a wide readership.In
丛书名称Springer INdAM Series
图书封面Titlebook: Combinatorial Methods in Topology and Algebra;  Bruno Benedetti,Emanuele Delucchi,Luca Moci Book 2015 Springer International Publishing Swi
描述.Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects..This book arises from the INdAM conference "CoMeTA 2013 - Combinatorial Methods in Topology and Algebra,‘‘ which was held in Cortona in September 2013. The event brought together emerging and leading researchers at the crossroads of Combinatorics, Topology and Algebra, with a particular focus on new trends in subjects such as: hyperplane arrangements; discrete geometry and combinatorial topology; polytope theory and triangulations of manifolds; combinatorial algebraic geometry and commutative algebra; algebraic combinatorics; and combinatorial representation theory..The book is divided into two parts. The first expands on the topics discussed at the conference by providing additional background and explanations, while the second presents original contributions on new trends in the topics addressed by the conference..
出版日期Book 2015
关键词Algebraic Combinatorics; Combinatorial algebraic geometry; Combinatorial topology and commutative alge
版次1
doihttps://doi.org/10.1007/978-3-319-20155-9
isbn_softcover978-3-319-36998-3
isbn_ebook978-3-319-20155-9Series ISSN 2281-518X Series E-ISSN 2281-5198
issn_series 2281-518X
copyrightSpringer International Publishing Switzerland 2015
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Introduction,lourished, with striking structural developments and a growing field of applications. Part of the reason for this blossoming may lie in the startling developments of computer science, which have taught us to look at mathematics with algorithmic eyes.
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Generalized Involution Models of Projective Reflection Groupsf groups parametrizes all quotients of the complex reflection groups .(., ., .) by scalar subgroups. Our classification is ultimately incomplete, but we provide several necessary and sufficient conditions for generalized involution models to exist in various cases. In the process we have been led to
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Universal Gröbner Bases for Maximal Minors of Matrices of Linear Formsshort proof of this result, along with a broad generalization to matrices with multi-homogeneous structures. Our main tool is a rigidity statement for radical Borel-fixed ideals in multigraded polynomial rings. For a more detailed exposition of the matter of this chapter we refer to the paper “Unive
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A Minimal Irreducible Triangulation of ,s shows that not every triangulation of a sphere, where angles around faces of codimension two are less than 2. in the metric pieced together by regular Euclidean simplices, is polytopal. The counterexample presented here is the smallest triangulation of . where every edge is contained in an empty t
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