Abelianisation of orthogonal groups and the fundamental group of modular varieties

By V. Gritsenko, K. Hulek, G. Sankaran. 2008

111 citations recorded by the source corpus.

Abstract We study the commutator subgroup of integral orthogonal groups belonging to indefinite quadratic forms. We show that the index of this commutator is 2 for many groups that occur in the construction of moduli spaces in algebraic geometry, in particular the moduli of K3 surfaces. We give applications to modular forms and to computing the fundamental groups of some moduli spaces.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e5ba9795fb567ae388e960d2d59ecd35cacda490

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In Geometry and Topology

1. K. Hulek
2. G. Sankaran
3. V. Gritsenko
4. D. Huybrechts
5. Nils R. Scheithauer
6. Matthias Schütt

In Mathematical Physics

1. K. Hulek
2. G. Sankaran
3. V. Gritsenko
4. D. Huybrechts
5. Nils R. Scheithauer
6. Matthias Schütt

Citations in the corpus

• Moduli of K3 Surfaces and Irreducible Symplectic Manifolds (2010, methodology): “The requirement that the cusp form should have order of vanishing at least 1 is almost always satisfied: see [49].”