Reflective hyperbolic 2-elementary lattices, K3 surfaces and hyperkahler varieties
Algebraic Geometry
2023-06-21 v4 Combinatorics
Group Theory
Abstract
We compute Coxeter diagrams of several ``large'' reflective even 2-elementary hyperbolic lattices and their maximal parabolic subdiagrams, and give some applications of these results to the theory of K3 surfaces and hyperkahler varieties.
Cite
@article{arxiv.2209.09110,
title = {Reflective hyperbolic 2-elementary lattices, K3 surfaces and hyperkahler varieties},
author = {Valery Alexeev},
journal= {arXiv preprint arXiv:2209.09110},
year = {2023}
}
Comments
v4: Added more, possibly all, reflective even hyperbolic 2-elementary lattices. All Coxeter matrices attached to the source as all_cases_in_2el_paper.txt