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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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Discrete Wilson Lines in F-Theory
F-theory models are constructed where the 7 -brane has a nontrivial fundamental group. The base manifolds used are a toric Fano variety and a smooth toric threefold coming from a reflexive polyhedron.
Volker Braun
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Automorphisms of Nonnormal Toric Varieties [PDF]
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.
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Toric Richardson varieties of Catalan type and Wedderburn-Etherington numbers [PDF]
. We associate a complete non-singular fan with a polygon triangulation. Such a fan appears from a certain toric Richardson variety, called of Catalan type introduced in this paper. A toric Richardson variety of Catalan type is a Fano Bott manifold.
Eunjeong Lee, M. Masuda, Seonjeong Park
semanticscholar +1 more source
Minimal surfaces and weak gravity
We show that the Weak Gravity Conjecture (WGC) implies a nontrivial upper bound on the volumes of the minimal-volume cycles in certain homology classes that admit no calibrated representatives.
Mehmet Demirtas +3 more
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Fibred toric varieties in toric hyperkähler varieties
21 pages, 5 figures, 3rd version, the whole paper is ...
van Coevering, Craig, Zhang, Wei
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On Fano Schemes of Toric Varieties [PDF]
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
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Toric 2-group anomalies via cobordism
2-group symmetries arise in physics when a 0-form symmetry G [0] and a 1-form symmetry H [1] intertwine, forming a generalised group-like structure. Specialising to the case where both G [0] and H [1] are compact, connected, abelian groups (i.e.
Joe Davighi +2 more
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Equivariant principal bundles for G–actions and G–connections
Given a complex manifold M equipped with an action of a group G, and a holomorphic principal H–bundle EH on M, we introduce the notion of a connection on EH along the action of G, which is called a G–connection.
Biswas Indranil +2 more
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Rationally Elliptic Toric Varieties [PDF]
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
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