Results 11 to 20 of about 121 (44)

Dimer Models from Mirror Symmetry and Quivering Amoebae [PDF]

, 2005
Dimer models are 2-dimensional combinatorial systems that have been shown to encode the gauge groups, matter content and tree-level superpotential of the world-volume quiver gauge theories obtained by placing D3-branes at the tip of a singular toric ...
Feng, Bo, He, Yang-Hui, Kennaway, Kristian D., Vafa, Cumrun   +3 more
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Topological String Amplitudes, Complete Intersection Calabi-Yau Spaces and Threshold Corrections

, 2004
We present the most complete list of mirror pairs of Calabi-Yau complete intersections in toric ambient varieties and develop the methods to solve the topological string and to calculate higher genus amplitudes on these compact Calabi-Yau spaces.
, , , , , A. Beauville, A. Klemm, A. Klemm, A. Klemm, A. Klemm, A. Klemm, A. Klemm, A. Strominger, A.C. Avram, A.R. Mavlyutov, Albrecht Klemm, B.A. Ovrut, C. Faber, C. Haase, C. Vafa, C. Vafa, C.F. Doran, C.T.C. Wall, C.T.C. Wall, D. Cox, D. Cox, D. Ghoshal, D. Maulik, D.A. Cox, D.J. Gross, D.R. Morrison, D.R. Morrison, E. Riegler, E. Witten, E. Witten, E. Witten, Emanuel Scheidegger, Erwin Riegler, G. Ewald, G.W. Moore, I. Antoniadis, I. Brunner, I.M. Gelfand, I.V. Dolgachev, J. Fuchs, J. Stienstra, J.A. Harvey, J.A. Harvey, J.M. Maldacena, K. Forger, K. Hori, K. Oguiso, K. Saito, L. Göttsche, L.J. Billera, L.J. Dixon, M. Aganagic, M. Aganagic, M. Bershadsky, M. Bershadsky, M. Gross, M. Gross, M. Henningson, M. Kontsevich, M. Kreuzer, M. Kreuzer, M. Kreuzer, M. Kreuzer, M. Kreuzer, M. Kreuzer, M. Marino, M. Serone, M.J. Duff, Maximilian Kreuzer, N. Nekrasov, N. Seiberg, P. Berglund, P. Berglund, P. Berglund, P. Candelas, P. Candelas, P. Candelas, P. Candelas, P. Candelas, P. Candelas, P. Mayr, P.M.H. Wilson, P.M.H. Wilson, P.S. Aspinwall, P.S. Aspinwall, P.S. Aspinwall, P.S. Aspinwall, P.S. Green, R. Dijkgraaf, R. Dijkgraaf, R. Donagi, R. Gopakumar, R. Gopakumar, R.E. Borcherds, R.E. Borcherds, R.P. Stanley, R.P. Thomas, S. Barannikov, S. Ferrara, S. Hosono, S. Hosono, S. Hosono, S. Hosono, S. Hosono, S. Kachru, S. Kachru, S. Katz, S. Katz, S. Katz, S.-T. Yau, S.K. Donaldson, T. Kawai, T. Kawai, T. Oda, V. Kaplunovsky, V. Kaplunovsky, V.I. Danilov, V.I. Danilov, V.V. Batyrev, V.V. Batyrev, V.V. Batyrev, V.V. Batyrev, V.V. Batyrev, V.V. Batyrev, W. Fulton, Y. Hu, Y. Ruan   +131 more
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On the finite generation of valuation semigroups on toric surfaces

, 2023
We provide a combinatorial criterion for the finite generation of a valuation semigroup associated with an ample divisor on a smooth toric surface and a non-toric valuation of maximal rank.
Altmann, Klaus, Haase, Christian, Küronya, Alex, Schaller, Karin, Walter, Lena   +4 more
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Monomial bases and PBW filtration in representation theory [PDF]

, 2016
In this thesis we study the Poincaré–Birkhoff–Witt (PBW) filtration on simple finite-dimensional modules of simple complex finite-dimensional Lie algebras.
Backhaus, Teodor
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Fano Varieties and Fano Polytopes [PDF]

, 2020
The foundation of this thesis is the problem whether a given (normal) Gorenstein Fano variety can be degenerated to a toric Gorenstein Fano variety. We will only consider those degenerations that are compatible with the choice of an ample line bundle on ...
Steinert, Christian Pascal
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Crystal bases and Newton-Okounkov bodies

, 2015
Let G be a connected reductive algebraic group. We prove that the string parametrization of a crystal basis for a finite dimensional irreducible representation of G extends to a natural valuation on the field of rational functions on the flag variety G/B,
Kaveh, Kiumars
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Toric degenerations of cluster varieties and cluster duality

, 2019
We introduce the notion of a $Y$-pattern with coefficients and its geometric counterpart: a cluster $\mathcal{X}$-variety with coefficients. We use these constructions to build a flat degeneration of every skew-symmetrizable specially completed cluster $\
Bossinger, Lara, Chávez, Alfredo Nájera, Frías-Medina, Bosco, Magee, Timothy   +3 more
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K-orbit closures and Barbasch-Evens-Magyar varieties

, 2018
We define the Barbasch-Evens-Magyar variety. We show it is isomorphic to the smooth variety defined in [D. Barbasch-S. Evens '94] that maps finite-to-one to a symmetric orbit closure, thereby giving a resolution of singularities in certain cases.
Escobar, Laura, Wyser, Benjamin J., Yong, Alexander   +2 more
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Overdetermined Systems of Equations on Toric, Spherical, and Other Algebraic Varieties

, 2020
Let $E_1,\ldots,E_k$ be a collection of linear series on an algebraic variety $X$ over $\mathbb{C}$. That is, $E_i\subset H^0(X, \mathcal{L}_i)$ is a finite dimensional subspace of the space of regular sections of line bundles $ \mathcal{L}_i$.
Monin, Leonid
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Arithmetic geometry of toric varieties. Metrics, measures and heights

, 2014
We show that the height of a toric variety with respect to a toric metrized line bundle can be expressed as the integral over a polytope of a certain adelic family of concave functions.
Gil, José Ignacio Burgos, Philippon, Patrice, Sombra, Martín   +2 more
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