Results 21 to 30 of about 722 (135)
Automorphisms of Nonnormal Toric Varieties [PDF]
Mathematical Notes, 2021 In this paper we prove criteria for a nonnormal toric variety to be flexible, to be rigid and to be almost rigid. For rigid and almost rigid toric varieties we describe the automorphism group explicitly.
Boldyrev, I. A., Gaifullin, S. A.
openaire +2 more sources
Fibred toric varieties in toric hyperkähler varieties
, 2010 21 pages, 5 figures, 3rd version, the whole paper is ...
van Coevering, Craig, Zhang, Wei
openaire +2 more sources
On Fano Schemes of Toric Varieties [PDF]
SIAM Journal on Applied Algebra and Geometry, 2017 Let $X_\mathcal{A}$ be the projective toric variety corresponding to a finite set of lattice points $\mathcal{A}$. We show that irreducible components of the Fano scheme $\mathbf{F}_k(X_\mathcal{A})$ parametrizing $k$-dimensional linear subspaces of $X_\mathcal{A}$ are in bijection to so-called maximal Cayley structures for $\mathcal{A}$. We explicitly
Nathan Owen Ilten, Alexandre Zotine
openaire +3 more sources
Documenta Mathematica, 2002 Extending work of Bielawski-Dancer citeBD and Konno citeKo, we develop a theory of toric hyperkähler varieties, which involves toric geometry, matroid theory and convex polyhedra. The framework is a detailed study of semi-projective toric varieties, meaning GIT quotients of affine spaces by torus actions, and specifically, of Lawrence toric varieties ...
Tamás Hausel, Bernd Sturmfels
openaire +3 more sources
Computing with toric varieties
Journal of Symbolic Computation, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Helena A. Verrill, David Joyner
openaire +1 more source
Rationally Elliptic Toric Varieties [PDF]
Tokyo Journal of Mathematics, 2021 We give a characterization of all complete smooth toric varieties whose rational homotopy is of elliptic type. All such toric varieties of complex dimension not more than three are explicitly described.
Biswas, Indranil +2 more
openaire +2 more sources
Combinatorics and Quotients of Toric Varieties [PDF]
Discrete & Computational Geometry, 2002 This paper studies two related subjects. One is some combinatorics arising from linear projections of polytopes and fans of cones. The other is quotient varieties of toric varieties. The relation is that projections of polytopes are related to quotients of projective toric varieties and projection of fans are related to quotients of general toric ...
openaire +2 more sources
On the classification of toric fano varieties [PDF]
Discrete & Computational Geometry, 1988 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Communications in AlgebraIn this article, we provide characterizations of toric Richardson varieties across all types through three distinct approaches: 1) poset theory, 2) root theory, and 3) geometry.
Mahir Bilen Can, Pinakinath Saha
openaire +2 more sources
Toric Sarkisov Links of Toric Fano Varieties
, 2023 We explain a web of Sarkisov links that overlies the classification of Fano weighted projective spaces in dimensions 3 and 4, extending results of Prokhorov.
Brown, Gavin +2 more
openaire +2 more sources