Mirror symmetry for K3 surfaces
| Autor: | Nathan Priddis, Paola Comparin, C. J. Bott |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Hyperbolic geometry
010102 general mathematics Algebraic geometry Automorphism 01 natural sciences K3 surface Theoretical physics Mathematics - Algebraic Geometry Differential geometry Lattice (order) 0103 physical sciences FOS: Mathematics 010307 mathematical physics Geometry and Topology 0101 mathematics 14J28 14J32 14J17 11E12 14J33 Mirror symmetry Algebraic Geometry (math.AG) Mathematics Projective geometry |
| Popis: | For certain K3 surfaces, there are two constructions of mirror symmetry that are very different. The first, known as BHK mirror symmetry, comes from the Landau-Ginzburg model for the K3 surface; the other, known as LPK3 mirror symmetry, is based on a lattice polarization of the K3 surface in the sense of Dolgachev's definition. There is a large class of K3 surfaces for which both versions of mirror symmetry apply. In this class we consider the K3 surfaces admitting a certain purely nonsymplectic automorphism of order 4, 8, or 12, and we complete the proof that these two formulations of mirror symmetry agree for this class of K3 surfaces. 26 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|