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On K3 surfaces with large complex structure
- Source :
-
Advances in Mathematics . Nov2007, Vol. 215 Issue 2, p504-539. 36p. - Publication Year :
- 2007
-
Abstract
- Abstract: We discuss a notion of large complex structure for elliptic K3 surfaces with section inspired by the eight-dimensional F-theory/heterotic duality in string theory. This concept is naturally associated with the Type II Mumford partial compactification of the moduli space of periods for these structures. The paper provides an explicit Hodge-theoretic condition for the complex structure of an elliptic K3 surface with section to be large. We also establish certain geometric consequences of this large complex structure condition in terms of the Kodaira types of the singular fibers of the elliptic fibration. [Copyright &y& Elsevier]
- Subjects :
- *MATHEMATICS
*SCIENCE
*ALGEBRA
*GEOMETRY
Subjects
Details
- Language :
- English
- ISSN :
- 00018708
- Volume :
- 215
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Advances in Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 26146585
- Full Text :
- https://doi.org/10.1016/j.aim.2007.04.014