Strange duality of weighted homogeneous polynomials
From MaRDI portal
Publication:3094095
DOI10.1112/S0010437X11005288zbMath1238.14029arXiv1003.1590OpenAlexW3102976169MaRDI QIDQ3094095
Atsushi Takahashi, Wolfgang Ebeling
Publication date: 21 October 2011
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.1590
mirror symmetrysingularityweighted projective lineDolgachev numbersGabrielov numbersinvertible polynomialstrange duality
Group actions on varieties or schemes (quotients) (14L30) Complex surface and hypersurface singularities (32S25) Mirror symmetry (algebro-geometric aspects) (14J33)
Related Items
Strange duality between hypersurface and complete intersection singularities, Gromov-Witten invariants for mirror orbifolds of simple elliptic singularities, Equivariant approach to weighted projective curves, Picard–Fuchs Equations of Special One-Parameter Families of Invertible Polynomials, Lattice duality for coupling pairs admitting polytope duality with trivial toric contribution, ON THE DERIVATION LIE ALGEBRAS OF FEWNOMIAL SINGULARITIES, TH YAU NUMBER OF ISOLATED HYPERSURFACE SINGULARITIES AND AN INEQUALITY CONJECTURE, Mirror symmetry and automorphisms, Exceptional collections for mirrors of invertible polynomials, On the index of the gradient of a real invertible polynomial, Derived factorization categories of non‐Thom–Sebastiani‐type sums of potentials, Homological mirror symmetry for Milnor fibers via moduli of A∞$A_\infty$‐structures, A geometric construction of Coxeter-Dynkin diagrams of bimodal singularities, Orbifold Jacobian algebras for invertible polynomials, Maximally-graded matrix factorizations for an invertible polynomial of chain type, Derivations of local \(k\)-th Hessian algebras of singularities, Lattices for Landau-Ginzburg orbifolds, Homological mirror symmetry for singularities of type D, Homological mirror symmetry for Brieskorn-Pham singularities, Orbifold Jacobian algebras for exceptional unimodal singularities, Graded matrix factorizations of size two and reduction, Derivation Lie algebras of new \(k\)-th local algebras of isolated hypersurface singularities, On two inequality conjectures for the \(k\)-th Yau numbers of isolated hypersurface singularities, On the new \(k\)-th Yau algebras of isolated hypersurface singularities, Polytope duality for families of \(K3\) surfaces and coupling, Inequality conjectures on derivations of local \(k\)-th Hessain algebras associated to isolated hypersurface singularities, A geometric definition of Gabrielov numbers, Non-existence of negative weight derivations on positively graded Artinian algebras, Strange duality between the quadrangle complete intersection singularities, Gamma integral structure for an invertible polynomial of chain type, On the deformation of the exceptional unimodal singularities
Cites Work
- A generalized construction of mirror manifolds
- FJRW-rings and mirror symmetry
- Zeta-function of monodromy and Newton's diagram
- Duality for regular systems of weights
- Poincaré series and monodromy of a two-dimensional quasihomogeneous hypersurface singularity
- K. Saito's duality for regular weight systems and duality for orbifoldized Poincaré polynomials
- On the link space of a Gorenstein quasihomogeneous surface singularity
