toric variety
Descent Systems, Eulerian Polynomials and Toric Varieties
... Let (W, S) be a finite Weyl group and let W ⊂ GL(V ) acting as a reflection group on the rational vector space V . Associated to λ ∈ V , there is a certain projective toric variety X(J). In this chapter we ...
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Acknowledgments
... Donagi, Guffin, Katz and Sharpe in [9] devoloped the mathematical theory of the quantum sheaf cohomology for any smooth projective toric variety X with a bundle E defined by the deformed toric Euler ...
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On the log-local principle for the toric boundary
... There are two natural directions to generalise the log-local principle further. The first is to inves- tigate the correspondence at the level of BPS invariants [7–9, 14, 23]; this is proven for the pair of P 2 and smooth ...
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Symmetries of toric duality
... arbitrary toric singularity which it probes, a unified algorithmic outlook to the existing technology [2, 3, 4, 5] of partial resolution of Abelian orbifolds has been established ...the toric variety ...
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A Calabi-Yau Database: Threefolds Constructed from the Kreuzer-Skarke List
... a toric variety can be chosen to be Calabi–Yau if the object underlying the construction of the variety, a lattice polytope, obeys the condition of re- flexivity ...
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D-brane gauge theories from toric singularities and toric duality
... the toric variety which the D-branes ...the toric data from the gauge theory in the following, and to illuminate our abstraction and notation we will use the ...
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Fermat Curves on Weighted Projective Planes
... surfaces one does not need to specify ∆ in it’s entirety. Rather, indicating the set of one-dimensional cones, ∆(1), will suffice. This is because the two- dimensional cones will be the regions of the plane separated by ...
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A geometric characterization of toric varieties
... 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 itself extends to ...of toric varieties is very useful as many ...
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THE B I R A T I O N A L G E O ME T R YO F T R O P I C A LC O MP A C T I FI C A T I O N S
... normal toric variety these cones are the usual cones of toric ...a toric variety without any explicit reference to the torus action: we start only from the data of the boundary ...
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UnHiggsing the del Pezzo
... We proceed to check the embedding equations. We recall that P 2 blown up at 5 generic points is the well-known del Pezzo surface of degree 4, as the intersection of 2 quadrics in P 4 . If we have say, 5 non-generic ...
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Jumping deformations of complete toric varieties
... The content of this paper is as follows. In Section 2, we review the homo- geneous coordinate of a toric variety, which is a key to our main result. In Section 3, we construct complex analytic families of ...
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Seven new champion linear codes
... Small polygons. In [BK12] we assembled a comprehensive database of lattice polygons that are contained, up to lattice automorphism and translation, in a [0, m]× [0, m] square, for m ≤ 7. This database can be interrogated ...
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Invariants of toric seiberg duality
... It is useful here to make the connection with rhombi and zig-zag paths again. It is a well known fact [28] that the number of independent trial R-charges after solving the linear constraints is (t − 1) where t is the ...
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Dimer models from mirror symmetry and quivering amoebae
... to toric singularities, every matter field shows up two and only two times in the superpotential, one with plus sign and one with minus ...any toric theory one may normalize the coefficient of each term in ...
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Small polygons and toric codes
... all toric codes includes some champions among linear codes, in the sense that they have minimum distance greater than that of any other known code with equal block length and ...
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Toric Heaps, Cyclic Reducibility, and Conjugacy in Coxeter Groups
... Now that we have laid out the fundamentals for cyclic reducibility in Coxeter groups, we will develop a framework to describe it using a cyclic analogue of a heap. The basic idea is to take our “ball stack” heap of ...
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Comparison of visual performance of toric versus non-toric intraocular lenses with same material
... Six experienced surgeons performed the cataract surgeries. The surgical procedure was conducted as follows: topical anesthesia, the creation of 2.8 mm temporal corneal incision, 5.0 mm continuous curvilinear ...
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Multiple quantum products in toric varieties
... and Pandharipande [5] have proven that Bott-style localization techniques apply to the integral in (1.2). Their techniques can easily be extended to torus actions, so in particular they apply to smooth projective ...
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Probing the Space of Toric Quiver Theories
... a and b, which is much better than the brute force case. It is unlikely that there exists an algorithm which has purely polynomial complexity in both E and x, though it may be possible to improve the algorithm by using ...
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From the Temperley Lieb Categories to Toric Code
... The toric code is a class of stabilizer quantum codes associated with lattices on 2-dimensinal ...the toric code model associated with but coincide with the topology of the ...
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