A note on exceptional unimodal singularities and K3 surfaces

Details A note on exceptional unimodal singularities and K3 surfaces A note on exceptional unimodal singularities and K3 surfaces

2011-07-12

arxiv.org/abs/1107.2169v2

Mathematics

Algebraic Geometry

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

Scientific paper

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).

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