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

circumvent

,Les Pensées de Pascal au XIXe siècle,e . has 28 effective theta characteristics—the 28 bitangents to a canonical embedding—while . has exactly seven effective tropical theta characteristics, as shown by Zharkov. We prove that the 28 effective theta characteristics of a ..-curve specialize to the theta characteristics of its minimal ske

勤劳

Mark-Oliver Casper,Giuseppe Flavio Artese of all lines which intersect .. We compute the singular locus of this hypersurface, which contains the congruence of all secants to .. A surface . in . defines the Hurwitz hypersurface in . of all lines which are tangent to .. We show that its singular locus has two components for general enough .:

Ordnance

Julian Kiverstein,Michael Kirchhoff, 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.

半身雕像

Mark-Oliver Casper,Giuseppe Flavio Arteserms of these generators generate the initial algebra of this Cox ring. Sturmfels and Xu provide a classification in the case of degree 4 del Pezzo surfaces by subdividing the tropical Grassmannian .. After providing the necessary background on Cox–Nagata rings and Khovanskii bases, we review the cla

你不公正

Stefan Ultes,Hüseyin Dikme,Wolfgang Minkermpute 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.

骚动

https://doi.org/10.1007/978-3-319-21834-2the Specht polytope, which also keeps track of convexity relations. We establish basic facts about the Specht polytope: the symmetric group acts transitively on its vertices and irreducibly on its ambient real vector space. A similar construction builds a matroid and polytope for a tensor product of

抚育

Simon Receveur,David Scheler,Tim Fingscheidt we compare toric degenerations arising from string polytopes and the FFLV polytope with those obtained from the tropicalization of the flag varieties. We also present a general procedure to find toric degenerations in the cases where the initial ideal arising from a cone of the tropicalization of a

Conspiracy

一再困扰

Peggy Levitt,Kristen Lucken,Melissa Barnettch graph ., the associated canonical linear system | .. | has the structure of a polyhedral complex. In this article, we propose a tropical analogue of the Hodge bundle on . and study its basic combinatorial properties. Our construction is illustrated with explicit computations and examples.

斜坡

Life Course Research and Social Policies)homologies. As motivation, we summarize some results from toric and tropical geometry linking cellular sheaf cohomologies to cohomologies of algebraic varieties. We then give an overview of the structure of the extension . for .. Finally, we illustrate the usage of the extension with examples from