We compute Okounkov bodies of projective complexity-one T-varieties with respect to two types of invariant flags. In particular, we show that the latter are rational polytopes. Moreover, using results of Dave Anderson and Nathan Ilten, we briefly exhibit explicit links to degenerations and T-deformations. Finally, we prove that the global Okounkov body of a rational projective …
2015-9-1 · We consider normal affine T-varieties X endowed with an action of finite abelian group G commuting with the action of T.For such varieties we establish the existence of G-equivariant geometrico-combinatorial presentations in the sense of Altmann and Hausen.As an application, we determine explicit presentations of the Koras–Russell threefolds as bi-cyclic covers of A 3 …
We generalize classical results about the topology of toric varieties to the case of projective Q-factorial T-varieties of complexity one using the language of divisorial fans. We describe the Hodge-Deligne polynomial in the smooth case, the cohomology ring and the Chow ring in the contraction-free case.
We generalize classical results about the topology of toric varieties to the case of projective Q-factorial T-varieties of complexity one using the language of divisorial fans. We describe the Hodge-Deligne polynomial in the smooth case, the cohomology ring and the Chow ring in the contraction-free case.
2022-5-11 · 3 and X= SpecA[Y,D], where A[Y,D] = H0(X,eOe X) = H0(Y,Ae). Then the following hold. (i) The schemes Xand Xeare normal varieties of dimension dimY+rankM. (ii) The M-gradings on A[C,D] and Ae[C,D] induce eﬀective T-actions on X and Xe, re- spectively. Moreover, the canonical morphism π: Xe→ Y is a good quotient for the T-action on Xe. (iii) There is a T …
2017-12-6 · PDF | We describe the fundamental group of a complex log terminal variety with torus action in terms of its defining divisorial fan. As applications, we... | …
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In this article, we introduce an approach to study the fundamental group of a log terminal T-variety. As applications, we prove the simply connectedness of the spectrum of the Cox ring of a complex Fano variety, we compute the fundamental group of a rational log terminal T-varieties of complexity one, and we study the local fundamental group of log terminal T-singularities with a …
2021-8-16 · A T-variety is a normal algebraic variety X with an effective action of an algebraic torus T, defined over an algebraically closed field of characteristic 0.The complexity of a T-variety is defined as (dim X -dim T), thus T-varieties of complexity zero correspond to the toric varieties.For toric varieties there is a well-known correspondence between the geometry of a …
2011-3-1 · Abstract: This is a survey of the language of polyhedral divisors describing T-varieties. This language is explained in parallel to the well established theory of toric varieties. In addition to basic constructions, subjects touched on include singularities, separatedness and properness, divisors and intersection theory, cohomology, Cox rings, polarizations, and equivariant …
We consider rational varieties with a torus action of complexity one and extend the combinatorial approach via the Cox ring developed for the complete case in earlier work to the non-complete, e.g. affine, case. This includes in particular a description of all factorially graded affine algebras of complexity one with only constant homogeneous invertible elements in terms of canonical ...
Showing a limited preview of this publication: Negation in varieties of English Lieselotte Anderwald 1. Introduction Generally, varieties of English around the world have the same system of negation as the standard, and even the shape of the negator varies very little across varieties. This chapter will therefore concentrate on features of non ...
In Great Britain, pronunciation reflects both regional and social factors. There are, of course, different geographical varieties: South-Western (''West Country'') English, Northern English, Scottish English, and so forth. But what is …
2016-3-1 · Let X be a normal affine T-variety of complexity at most one over a perfect field k, where T = G m n stands for the split algebraic torus. Our main result is a classification of additive group actions on X that are normalized by the T-action.This generalizes the classification given by the second author in the particular case where k is algebraically closed and of characteristic zero.
2022-3-14 · A single, 4- to 5-foot ''Navaho'' plant bears from 8 to 10 quarts of 1-inch blue-black berries. The fruit''s 11.7 percent sugar content is the highest among all …
2020-1-14 · Category: food and drink non alcoholic beverages. 4.8/5 (4,319 Views . 30 Votes) Some are grown as trees or shrubs, others are edible, and some are merely ornamental. The most commonly known species of Lamiaceae is the selection that we call mint: peppermint, spearmint, chocolate mint, lemon mint, and so on. Click to see full answer.
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2022-5-23 · ABSTRACT OF DISSERTATION Tropical Geometry of T-Varieties with Applications to Algebraic Statistics Varieties with group action have been of …
The aim of this paper is to describe how varieties of algebras of type τ can be classified by using the form of the terms which build the (defining) identities of the variety.
2008-12-4 · Let X=spec A be a normal affine variety over an algebraically closed field k of characteristic 0 endowed with an effective action of a torus T of dimension n. Let also D be a homogeneous locally nilpotent derivation on the normal affine Z^n-graded domain A, so that D generates a k_+-action on X that is normalized by the T-action. We provide a complete …
2010-12-15 · Let X be a normal affine T-variety, where T stands for the algebraic torus. We classify G a-actions on X arising from homogeneous locally nilpotent derivations of fiber type. We deduce that any variety with trivial Makar-Limanov (ML) invariant is birationally decomposable as Y × P 2, for some Y nversely, given a variety Y, there exists an affine variety X with trivial …
2021-10-19 · 4 KEWEI ZHANG Proof. Let us pick D2Sand work on Xe(D). We have 8 >< >: K Xe = P P;v (v)a P + 1 D P;v P ˆ ˆ rK X = P P;v (v)h P(v)D P;v+ P ˆ h t(n ˆ)D ˆ rD= P P;v (v) ord Pf=k+ hu=k;vi h p(v) D P:v+ P ˆ hu=k;n ˆi h t(n ˆ) D ˆ By our choice of h, we have
Inspired by Bondal''s conjecture, we study the behavior of exceptional sequences of line bundles on rational ${mathbb{C}^{*}}$ -surfaces under homogeneous degenerations.
2014-8-7 · Let X be a normal affine T-variety of complexity at most one over a perfect field k, where T stands for the split algebraic torus. Our main result is a classification of additive group actions on X that are normalized by the T-action. This generalizes the classification given by the second author in the particular case where k is algebraically closed and of characteristic zero. …
2017-4-6 · Rational Complexity-One T-Varieties are Well-Poised. Authors: Nathan Ilten, Christopher Manon. Download PDF. Abstract: Given an affine rational complexity-one -variety, we construct an explicit embedding of in affine space . We show that this embedding is well-poised, that is, every initial ideal of is a prime ideal, and determine the ...
This is a survey of the language of polyhedral divisors describing T-varieties. This language is explained in parallel to the well established theory of toric varieties. In addition to basic constructions, subjects touched on include singularities, separatedness and properness, divisors and intersection theory, cohomology, Cox rings, polarizations, and equivariant deformations, …
2011-3-1 · This is a survey of the language of polyhedral divisors describing T-varieties. This language is explained in parallel to the well established theory of toric varieties. In addition to basic constructions, subjects touched on include singularities, separatedness and properness, divisors and intersection theory, cohomology, Cox rings, polarizations, and equivariant …
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2013-10-20 · The induced lattice homomorphism is given by the matrix ( 0 − 1 1 − 1) which has not real eigenvalues. Hence, X is symmetric and from Theorem 1.1 it follows the existence of a Kähler–Einstein metric, since the fibers over 0, ∞ and − 1 are non-reduced. The action of S 3 on P 1 is induced by the permutations of the points 0, − 1, ∞.
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We show how to construct certain homogeneous deformations for rational normal varieties with codimension one torus action. This can then be used to construct homogeneous deformations of any toric variety in arbitrary degree. For locally trivial deformations coming from this construction, we calculate the image of the Kodaira-Spencer map. We then show that for a smooth …
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On this database, you can: Search for varieties by name or characteristic and view variety data individually or two-variety- comparisons. Compare data for varieties that have undergone IVT procedures and data for GB-certified varieties that have NOT undergone the IVT procedures. Obtain grower, breeder and breeders'' agent contact details to ...
2013-10-15 · Introduction. Let X be a rational complexity-one T-variety, that is, a normal rational variety X endowed with an effective action by some torus T of dimension one less than dim X ch varieties are the simplest examples of T-varieties after toric varieties, and can be described completely in terms of convex polyhedral data attached to points on the projective …