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Hyper-Kähler fourfolds and Grassmann geometry
- Source :
- Journal für die reine und angewandte Mathematik, Journal für die reine und angewandte Mathematik, 2010, 2010 (649), ⟨10.1515/CRELLE.2010.089⟩
- Publication Year :
- 2010
- Publisher :
- Walter de Gruyter GmbH, 2010.
-
Abstract
- We construct a new 20-dimensional family of algebraic hyper-Kaehler fourfolds and prove that they are deformation-equivalent to the second punctual Hilbert scheme of a K3 surface of degree 22.<br />Comment: Typos corrected. Connection made with the work of Gritsenko, Hulek, and Sankaran on the Kodaira dimension of moduli spaces of hyper-Kaehler manifolds (arXiv:0802.2078)
- Subjects :
- Applied Mathematics
General Mathematics
Geometry
Construct (python library)
14J70
K3 surface
Mathematics - Algebraic Geometry
Mathematics::Algebraic Geometry
Hilbert scheme
Genus (mathematics)
14J35
[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
Projective test
14M15
Mathematics::Symplectic Geometry
Mathematics
Subjects
Details
- ISSN :
- 14355345 and 00754102
- Volume :
- 2010
- Database :
- OpenAIRE
- Journal :
- Journal für die reine und angewandte Mathematik (Crelles Journal)
- Accession number :
- edsair.doi.dedup.....f5194f806e22ebad315fc7e3d652ccbd
- Full Text :
- https://doi.org/10.1515/crelle.2010.089