Results 11 to 20 of about 163 (41)
Mirror symmetry and Fano manifolds [PDF]
, 2012 We consider mirror symmetry for Fano manifolds, and describe how one can recover the classification of 3-dimensional Fano manifolds from the study of their mirrors.
Coates, Tom +4 more
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Orbifold Zeta Functions for Dual Invertible Polynomials [PDF]
, 2016 An invertible polynomial in n variables is a quasi-homogeneous polynomial consisting of n monomials so that the weights of the variables and the quasi-degree are well defined.
Ebeling, W., Gusein-Zade, S.M.
core +2 more sources
Upper Bounds for Mutations of Potentials [PDF]
, 2013 In this note we provide a new, algebraic proof of the excessive Laurent phenomenon for mutations of potentials (in the sense of [Galkin S., Usnich A., Preprint IPMU 10-0100, 2010]) by introducing to this theory the analogue of the upper bounds from ...
Galkin, Sergey +1 more
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Analytic continuation of better-behaved GKZ systems and Fourier-Mukai transforms [PDF]
Épijournal de Géométrie AlgébriqueWe study the relationship between solutions to better-behaved GKZ hypergeometric systems near different large radius limit points, and their geometric counterparts given by the $K$-groups of the associated toric Deligne-Mumford stacks. We prove that the $
Zengrui Han
doaj +1 more source
Saito duality between Burnside rings for invertible polynomials
, 2011 We give an equivariant version of the Saito duality which can be regarded as a Fourier transformation on Burnside rings. We show that (appropriately defined) reduced equivariant monodromy zeta functions of Berglund-H\"ubsch dual invertible polynomials ...
Ebeling, Wolfgang, Gusein-Zade, Sabir M.
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A mirror theorem for Gromov-Witten theory without convexity
Forum of Mathematics, SigmaWe prove a genus zero Givental-style mirror theorem for all complete intersections in toric Deligne-Mumford stacks, which provides an explicit slice called big I-function on Givental’s Lagrangian cone for such targets.
Jun Wang
doaj +1 more source
Polynomial Rings and Topological Strings
, 2014 An overview is given of the construction of a differential polynomial ring of functions on the moduli space of Calabi-Yau threefolds. These rings coincide with the rings of quasi modular forms for geometries with duality groups for which these are known.
Alim, Murad
core +1 more source
Family Floer mirror space for local SYZ singularities
Forum of Mathematics, SigmaWe give a mathematically precise statement of the SYZ conjecture between mirror space pairs and prove it for any toric Calabi-Yau manifold with the Gross Lagrangian fibration. To date, it is the first time we realize the SYZ proposal with singular fibers
Hang Yuan
doaj +1 more source
Semistable degenerations of Calabi–Yau manifolds and mirror P=W conjectures
Forum of Mathematics, SigmaMirror symmetry for a semistable degeneration of a Calabi–Yau manifold was first investigated by Doran–Harder–Thompson when the degenerate fiber is a union of two quasi-Fano manifolds.
Sukjoo Lee
doaj +1 more source
Weak Mirror Symmetry of Complex Symplectic Algebras
, 2010 A complex symplectic structure on a Lie algebra $\lie h$ is an integrable complex structure $J$ with a closed non-degenerate $(2,0)$-form. It is determined by $J$ and the real part $\Omega$ of the $(2,0)$-form.
Andrada +17 more
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