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- Title
The Global Sections of the Chiral de Rham Complex on a Kummer Surface.
- Authors
Bailin Song
- Abstract
The chiral de Rham complex is a sheaf of vertex algebras ΩMch on any nonsingular algebraic variety or complex manifold M, which contains the ordinary de Rham complex as the weight zero subspace. We show that when M is a Kummer surface, the algebra of global sections is isomorphic to an N = 4 superconformal vertex algebra with central charge 6. Previously, ℂℙn was the only manifold where a complete description of the global section algebra was known.
- Subjects
KUMMER surfaces; QUARTIC surfaces; MATHEMATICAL complex analysis; MATHEMATICAL analysis; ALGEBRAIC surfaces
- Publication
IMRN: International Mathematics Research Notices, 2016, Vol 2016, Issue 14, p4271
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnv274