A note on exceptional unimodal singularities and K3 surfaces

Masanori Kobayashi, Makiko Mase, Kazushi Ueda

Published 2011-07-12, updated 2012-03-04Version 2

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).