Elliptic Fibrations and Symplectic Automorphisms on K3 Surfaces
By Alice Garbagnati, A. Sarti. 2008
51 citations recorded by the source corpus.
Nikulin has classified all finite abelian groups acting symplectically on a K3 surface and he has shown that the induced action on the K3 lattice U 3 ⊕ E 8(−1)2 depends only on the group but not on the K3 surface. For all the groups in the list of Nikulin we compute the invariant sublattice and its orthogonal complement by using some special elliptic K3 surfaces.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/4f79564618e96d54405059c3ea4b7525c6c39884
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In Discrete Mathematics and Combinatorics
In Geometry and Topology
In Mathematical Physics
- K. Hulek
- G. Sankaran
- V. Gritsenko
- T. Shioda
- M. Schuett
- D. Huybrechts
- Nils R. Scheithauer
- Matthias Schütt
Citations in the corpus
- Elliptic Surfaces (2009, methodology): “This approach has been pursued very successfully by Garbagnati and Sarti [26].”
- Moduli of K3 Surfaces and Irreducible Symplectic Manifolds (2010, background): “There is an extensive literature on such surfaces, much of it touching on moduli problems: for example [37] and the recent work of Ma and Yoshikawa [82].”