• Corpus ID: 252368082

Coxeter diagrams of 2-elementary K3 surfaces of genus 0, and beyond

@inproceedings{Alexeev2022CoxeterDO,
  title={Coxeter diagrams of 2-elementary K3 surfaces of genus 0, and beyond},
  author={Valery Alexeev},
  year={2022}
}
. We compute the Coxeter diagrams of K3 surfaces with 2-elementary Picard lattices of genus 0 and apply them to describe their (infinite) auto- morphism groups. We also compute several Coxeter diagrams of reflective 2-elementary hyperbolic lattices beyond the K3 case. The diagrams turn out to be remarkably symmetric, similar to the Coxeter diagrams for the unimodular lattices I 1 , 18 and I 1 , 19 found by Vinberg and Kaplinskaja. 
[PDF] Semantic Reader

Figures from this paper

References

SHOWING 1-10 OF 13 REFERENCES

Mirror symmetric compactifications of moduli spaces of K3 surfaces with a nonsymplectic involution

There are 75 moduli spaces FS of K3 surfaces with a nonsymplectic involution. We give a detailed description of Kulikov models for each of them. In the 50 cases when the fixed locus of the involution…

del Pezzo and K3 Surfaces

The two most algebraic K3 surfaces

A TORELLI THEOREM FOR ALGEBRAIC SURFACES OF TYPE K3

In this paper it is proved that an algebraic surface of type K3 is uniquely determined by prescribing the integrals of its holomorphic differential forms with respect to a basis of cycles of the…

On the groups ()

Some arithmetical discrete groups in Lobačevskĭı spaces, Discrete subgroups of Lie groups and applications to moduli (Internat

  • Colloq., Bombay,
  • 1973

Quotient-groups of groups of automorphisms of hyperbolic forms by subgroups generated by 2-reflections. Algebro-geometric applications, Current problems in mathematics

  • Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Informatsii
  • 1979

C 10 F 4 , D 10 (2) B 3 A 1 (2), (2) even ordinary: D 2 4 (2) C 3 2 (2), B 3 4 (2) C 2 , E 6 (2) A 5 B 3 (2)

  • C

Some arithmetical discrete groups in Lobačevskiȋ spaces

  • Discrete subgroups of Lie groups and applications to moduli (Internat. Colloq
  • 1973

Kaplinskaja, The groups O18,1(Z) and O19,1(Z)

  • Dokl. Akad. Nauk SSSR
  • 1978