Discrete Reflection Groups in Lobachevsky Spaces and Algebraic Surfaces

By V. Nikulin. 2010

89 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Cyclic Coverings, Calabi-Yau Manifolds and Complex Multiplication (2007, methodology): “Nikulins classification of involutions on K3 surfaces [51] and the construction of C.”
Constructing rational curves on K3 surfaces (2009, background): “These K3 surfaces have Picard rank ≥ 2, and all except finitely many lattices in rank ≥ 3 correspond to K3 surfaces with infinite automorphisms or elliptic fibrations [19, 29].”
Notes on Thin Matrix Groups (2012, methodology): “In particular, in [Nikulin 1987] it is shown that there are only finitely many f s (up to integral equivalence) which are reflective.”
The cone conjecture for Calabi-Yau pairs in dimension two (2009, methodology): “) The K3 surfaces and Enriques surfaces with finite automorphism group were classified by Nikulin, Vinberg, and Kondo [34, 37, 20, 47].”