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math.AGAug 11, 2014
3
citations (OpenAlex)
authors
  • Kazushi Ueda
arXiv abstractPDF
paper

Mirror symmetry and K3 surfaces

arXiv:1407.1566

Abstract

We review some of the interplay between mirror symmetry and K3 surfaces.

arXiv comment37 pages, 3 figures; v2: references added

References in corpus (17)

  • Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
  • Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
  • Dirichlet branes, homological mirror symmetry, and stability
  • FJRW rings and Landau-Ginzburg Mirror Symmetry
  • Landau-Ginzburg/Calabi-Yau correspondence for quintic three-folds via symplectic transformations
  • Hypergeometric functions and mirror symmetry in toric varieties
  • Landau-Ginzburg/Calabi-Yau correspondence, global mirror symmetry and Orlov equivalence
  • Derived equivalences of K3 surfaces and orientation
  • Quantum Cohomology and Periods
  • Lattice polarized toric K3 surfaces
  • K. Saito's Duality for Regular Weight Systems and Duality for Orbifoldized Poincare Polynomials
  • Mirror symmetry for log Calabi-Yau surfaces I
  • Period- and mirror-maps for the quartic K3
  • Period differential equations for the families of K3 surfaces with 2 parameters derived from the reflexive polytopes
  • Mirror symmetry for exceptional unimodular singularities
  • The Berglund-Hübsch-Chiodo-Ruan mirror symmetry for K3 surfaces
  • Modular surfaces associated with toric K3 hypersurfaces

Cited by in corpus (1)

  • A new characterization of exceptional unimodal singularities
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