Nikulin involutions on K3 surfaces
By Bert van Geemen, A. Sarti. 2006
125 citations recorded by the source corpus.
We study the maps induced on cohomology by a Nikulin (i.e. a symplectic) involution on a K3 surface. We parametrize the 11-dimensional irreducible components of the moduli space of algebraic K3 surfaces with a Nikulin involution and we give examples of the general K3 surface in various components. We conclude with some remarks on Morrison–Nikulin involutions, these are Nikulin involutions which interchange two copies of E8(−1) in the Néron Severi group.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/974a6dcc4cc7d16677a8a26fed7fc2fdb7a8fb64
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In Geometry and Topology
- A. Verra
- G. Farkas
- Charles F. Doran
- Adrian Clingher
- Alexander V. Kitaev
- Dawei Chen
- Martin Moeller
- Ingrid Bauer
In Mathematical Physics
- A. Verra
- G. Farkas
- Charles F. Doran
- Adrian Clingher
- Dawei Chen
- Ingrid Bauer
- F. Catanese
- Martin Moeller
Citations in the corpus
- Moduli of theta-characteristics via Nikulin surfaces (2011, background): “7 from [15] picks out two possibilities for Pic(Y ) (or equivalently for Pic(S)), and we must check that”
- Lattice polarized K3 surfaces and Siegel modular forms (2010, methodology): “One can recognize in (18) the classical equation for a jacobian elliptic fibration with a special section of order-two (see, for instance, Section 4 of the work of Van Geemen and Sarti [11]).”