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Titlebook: Combinatorial Algebraic Geometry; Selected Papers From Gregory G. Smith,Bernd Sturmfels Book 2017 Springer Science+Business Media LLC 2017

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发表于 2025-3-21 16:34:02 | 显示全部楼层 |阅读模式
书目名称Combinatorial Algebraic Geometry
副标题Selected Papers From
编辑Gregory G. Smith,Bernd Sturmfels
视频video
概述Bridges the gap between graduate courses and cutting-edge research.Covers a wide range of topics in combinatoric algebraic geometry.Connects historical sources, computation, explicit examples, and new
丛书名称Fields Institute Communications
图书封面Titlebook: Combinatorial Algebraic Geometry; Selected Papers From Gregory G. Smith,Bernd Sturmfels Book 2017 Springer Science+Business Media LLC 2017
描述This volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through December of 2016. Written primarily by junior mathematicians, the articles cover a range of topics in combinatorial algebraic geometry including curves, surfaces, Grassmannians, convexity, abelian varieties, and moduli spaces. This book bridges the gap between graduate courses and cutting-edge research by connecting historical sources, computation, explicit examples, and new results.
出版日期Book 2017
关键词abelian varieties; convexity; moduli spaces; hyperelliptic curves; tropical Jacobians; space sextics; comb
版次1
doihttps://doi.org/10.1007/978-1-4939-7486-3
isbn_softcover978-1-4939-8501-2
isbn_ebook978-1-4939-7486-3Series ISSN 1069-5265 Series E-ISSN 2194-1564
issn_series 1069-5265
copyrightSpringer Science+Business Media LLC 2017
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Equations of ,,, conjecturally, determine . as a subscheme. Using ., we prove that these equations generate the ideal for 5 ≤ . ≤ 8. For . ≤ 6, we also give a cohomological proof that these polynomials realize . as a subvariety of . embedded by the complete log canonical linear system.
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Equations and Tropicalization of Enriques Surfaces,mpute the tropical homology, thus recovering a special case of the result of [.], and establish a connection between the dimension of the tropical homology groups and the Hodge numbers of the corresponding algebraic Enriques surface.
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The Convex Hull of Two Circles in ,,rojective space, their algebraic boundary contains an irrational ruled surface of degree eight whose ruling forms a genus one curve. We classify which curves arise, classify the face lattices of the convex hulls, and determine which are spectrahedra. We also discuss an approach to these convex hulls using projective duality.
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https://doi.org/10.1007/978-3-662-45726-9gents when the curve is real. We also revisit a curve constructed by Emch with the greatest known number of real tritangents and, conversely, construct a curve with very few real tritangents. Using recent results on the relation between algebraic and tropical theta characteristics, we show that the
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