Tropicalization II: toric varieties and their subvarieties
Toric Legendrian subvarieties
... though we also use technics of [Oda]. We would like to understand, when X can be Legendrian with respect to some contact structure on P 2n − 1 and in particular, when it can be a smooth toric Legendrian variety. ...
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Multiple quantum products in toric varieties
... of toric varieties. We will quickly recall some facts about toric va- rieties and mostly introduce our notation—our standard references for this section are [1, 4, ...projective toric variety ...
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Spherical Tropicalization
... of tropicalization and tropical compactifications have motivated their extension to more general settings than subvarieties of ...[LQ]. Tropicalization of subvarieties of toric ...
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Fan Cohomology and Equivariant Chow Rings of Toric Varieties
... Toric varieties are varieties equipped with a torus action and constructed from cones and ...affine toric variety constructed from a cone can be identified with a group ring determined by the ...
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Fan Cohomology and Its Application to Equivariant K-Theory of Toric Varieties
... In the case that X is smooth, Vezzosi and Vistoli proved that K q T ( X ) is determined by the equivariant K-groups of the maximal open affine toric subvarieties and their intersections.[r] ...
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LOWER BOUNDS IN REAL ALGEBRAIC GEOMETRY AND ORIENTABILITY OF REAL TORIC VARIETIES
... Real toric varieties, singular small covers, and toric subvarieties of the sphere are ob- tained by gluing the real torus T n := (R × ) n or {±1}×T n = T n+1 /R ≥ along copies of T n−1 , one ...
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Irrational Toric Varieties
... CLASSICAL TORIC VARIETIES In Section 3 we have seen different constructions of toric ...projective toric varieties. By Theorem 4.7, a normal toric variety Y Σ can be embedded ...
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A geometric characterization of toric varieties
... Introduction Toric varieties appear frequently in algebraic ...a toric variety is so restrictive; X is normal and there is an open subset isomorphic to a torus such that the action of the torus on ...
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Mapping toric varieties into low dimensional spaces
... x 1,3 x 2,1 is nonzero, and their value. ⊳ In case (2) of Proposition 4.6 the separating set satisfying the bound can be obtained by taking generic linear combinations of a generating invariant monomials. This is not ...
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Arithmetic Motivic Poincaré series of toric varieties
... on toric varieties, their monomial ideals and their arcs are introduced in Sections 3 and ...normal toric varieties some features of the computation can be simplified (see Section ...
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Descent Systems, Eulerian Polynomials and Toric Varieties
... Toric varieties and their cohomology have played an increasingly important role in studying the combinatorics of convex ...projective toric varieties. This connection between the topology of ...
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Jumping deformations of complete toric varieties
... become toric varieties, and the corresponding fans are explicitly described by the data of the fans associated to the special ...certain toric weakened Fano ...
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CiteSeerX — LVMB manifolds and quotients of toric varieties
... of toric geometry. We find a fan ∆ in R n such that the corresponding toric manifold is the open set U and we see how the projection of this fan by a suitable 2m-dimensional linear subspace of R n helps to ...
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OPTIMAL TEST-CONFIGURATIONS FOR TORIC VARIETIES. Abstract
... 4. Harder-Narasimhan filtration In this section, we would like to study the problem of decomposing an unstable toric variety into semistable pieces. This is analogous to the Harder-Narasimhan filtration of an ...
The Subvarieties of a Field
... After m odification o:f the original system by the introduction as postulates of t w o theorems which when so regarcled offer instances not otherwise distinct, the[r] ...
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Poincaré type Kähler metrics and stability on toric varieties
... Here in the toric case the proof is much simpler. In the general case the approach is to study geodesics in the space of K¨ ahler potentials. The Mabuchi functional is a function on the space of K¨ ahler metrics ...
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On Simplicial Toric Varieties Which Are Set-Theoretic Complete Intersections
... simplicial toric affine or projective variety with full parametrization is an almost set-theoretic complete inter- ...simplicial toric affine or projective variety of codimension two is an almost ...
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Tilting Sheaves on Brauer-Severi Schemes and Arithmetic Toric Varieties
... This thesis is concerned with the existence of tilting sheaves on some smooth projective varieties. The main techniques we use in this thesis are Galois descent theory and Proposition 4.1.8: a bundle on a smooth ...
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Minimal Subvarieties of Involutive Residuated Lattices
... minimal subvarieties of involu- tive residuated lattices ...minimal subvarieties of bounded involutive representable residu- ated lattices even with mingle axiom is ...
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Accelerating Tropicalization and the Transformation of Temperate Seagrass Meadows
... of tropicalization and its potential effects on the structure and functioning of globally significant and threatened seagrass ecosystems, through poleward shifts in tropical seagrasses and ...
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