English

A note on exceptional unimodal singularities and K3 surfaces

Algebraic Geometry 2012-03-06 v2

Abstract

This is a short note on the relation between the graded stable derived categories of 14 exceptional unimodal singularities and the derived category of K3 surfaces obtained as compactifications of the Milnor fibers. As a corollary, we obtain a basis of the numerical Grothendieck group similar to the one given by Ebeling and Ploog (arXiv:0809.2738).

Keywords

Cite

@article{arxiv.1107.2169,
  title  = {A note on exceptional unimodal singularities and K3 surfaces},
  author = {Masanori Kobayashi and Makiko Mase and Kazushi Ueda},
  journal= {arXiv preprint arXiv:1107.2169},
  year   = {2012}
}

Comments

21 pages, 4 figures; v2: corrected an error pointed out by the referee

R2 v1 2026-06-21T18:35:18.497Z