Results 221 to 230 of about 3,007,276 (250)

Pluripotential theory for tropical toric varieties and non-Archimedean Monge–Ampère equations

Kyoto Journal of Mathematics, 2021
Tropical toric varieties are partial compactifications of finite dimensional real vector spaces associated with rational polyhedral fans. We introduce plurisubharmonic functions and a Bedford--Taylor product for Lagerberg currents on open subsets of a ...
Jose Ignacio Burgos Gil, Walter Gubler, Philipp Jell, K. Kunnemann   +3 more
semanticscholar   +1 more source

Toric Varieties and Toric Resolutions

2000
This paper is an introduction to toric varieties and toric resolutions. We begin with basic definitions and examples, and then cover standard topics in toric geometry, including fans, support functions, and ampleness criteria. The paper also explores alternate constructions of toric varieties and nonnormal toric varieties. Then we turn our attention to
openaire   +1 more source

SINGULAR TORIC FANO VARIETIES

Russian Academy of Sciences. Sbornik Mathematics, 1993
The aim of this paper is to justify that there are a finite number of types of singular toroidal varieties satisfying some restrictions concerning their singularities.
Borisov, A. A., Borisov, L. A.
openaire   +1 more source

Toric Modifications of Free Toric Varieties

2004
We study the effect of the toric modifications, described e.g. in [13], on a certain class of complete intersection toric varieties. The construction is based on the notion of Newton polyhedron.
ASSI A, BARILE, Margherita
openaire   +1 more source

On toric varieties and toric stacks

In this dissertation, we prove a number of results about toric varieties by utilizing Cox's construction of a toric variety as a good quotient of an open subset of affine space by the action of a diagonalizable group. Our first result is a Hirzebruch-Riemann-Roch theorem for three-dimensional Artin toric stacks.
openaire   +2 more sources

Toric Varieties and Algebraic Monoids

Journal of Lie Theory, 1992
Let \(\mathbb{K}\) be a field and \(\mathbb{K}^* = G_ m\) the multiplicative group of \(\mathbb{K}\) viewed as an algebraic group over \(\mathbb{K}\). A \(\mathbb{K}\)-torus is an algebraic \(\mathbb{K}\)-group isomorphic to a direct product of such groups.
openaire   +2 more sources

The definition of a non-commutative toric variety

, 2014
L. Katzarkov, Ernesto Lupercio, L. Meersseman, A. Verjovsky   +3 more
semanticscholar   +1 more source

Subvarieties of generic hypersurfaces in a nonsingular projective toric variety

, 2009
A. Ikeda
semanticscholar   +1 more source

Groebner fans and embedded resolutions of ideals on toric varieties

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2023
F. Aroca, Mirna G'omez-Morales, H. Mourtada   +2 more
semanticscholar   +1 more source

On the Lagrangian Geometry of the Tangent Bundle of a Toric Variety

Mathematical Notes, 2022
N A Tyurin, Tyurin N A
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