Results 11 to 20 of about 722 (135)
Discriminants of toric varieties [PDF]
Communications in Algebra, 2021 We study the subvariety of singular sections, the discriminant, of a base point free linear system $|L|$ on a smooth toric variety $X$. On one hand we describe pairs $(X,L)$ for which the discriminant is of low dimension. Precisely, we collect some bounds on this dimension and classify those pairs whose dimension differs the bound less than or equal to
Muñoz, Roberto, Nolla, Álvaro
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Moscow Mathematical Journal, 2023 A toric variety is called fibered if it can be represented as a total space of fibre bundle over toric base and with toric fiber. Fibered toric varieties form a special case of toric variety bundles. In this note we first give an introduction to the class of fibered toric varieties.
Khovanskii, Askold, Monin, Leonid
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The signature of a toric variety [PDF]
Duke Mathematical Journal, 2002 26 pages, to appear in Duke Math ...
Leung, Naichung Conan, Reiner, Victor
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Residues in toric varieties [PDF]
Compositio Mathematica, 1997 We study residues on a complete toric variety $X$ , which are defined in terms of the homogeneous coordinate ring of $X$ . We first prove a global transformation law for toric residues.
Cattani, E, Cox, D, Dickenstein, A
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The 𝐾-theory of toric varieties [PDF]
Transactions of the American Mathematical Society, 2008 Recent advances in computational techniques for K K -theory allow us to describe the
Cortiñas, Guillermo Horacio +3 more
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Bayesian Integrals on Toric Varieties
SIAM Journal on Applied Algebra and Geometry, 2023 26 pages, 3 figures; v2: minor corrections and improvements, version equivalent to the one published in ...
Michael Borinsky +3 more
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Extensions of Toric Varieties [PDF]
The Electronic Journal of Combinatorics, 2011 In this paper, we introduce the notion of "extension" of a toric variety and study its fundamental properties. This gives rise to infinitely many toric varieties with a special property, such as being set theoretic complete intersection or arithmetically Cohen-Macaulay (Gorenstein) and having a Cohen-Macaulay tangent cone or a local ring with non ...
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Toric sets and orbits on toric varieties
Journal of Pure and Applied Algebra, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. Katsampekis (Anargyros), A. Thoma
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Nearest points on toric varieties [PDF]
MATHEMATICA SCANDINAVICA, 2018 We determine the Euclidean distance degree of a projective toric variety. This extends the formula of Matsui and Takeuchi for the degree of the $A$-discriminant in terms of Euler obstructions. Our primary goal is the development of reliable algorithmic tools for computing the points on a real toric variety that are closest to a given data point.
Helmer, Martin, Sturmfels, Bernd
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Journal of Lie Theory, 2010 A description of transitive actions of a semisimple algebraic group G on toric varieties is obtained. Every toric variety admitting such an action lies between a product of punctured affine spaces and a product of projective spaces. The result is based on the Cox realization of a toric variety as a quotient space of an open subset of a vector space V ...
Arzhantsev, Ivan V. +1 more
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