Exceptional collections in surface-like categories

Exceptional collections in surface-like categories

We provide a categorical framework for recent results of Markus Perling's on the combinatorics of exceptional collections on numerically rational surfaces. Using it we simplify and generalize some of Perling's results as well as Vial's criterion for the existence of a numerical except...

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Veröffentlicht in:Sbornik. Mathematics 2017-09, Vol.208 (9), p.1368-1398
1. Verfasser: Kuznetsov, A. G.
Format: Artikel
Sprache:eng
Schlagworte:
Combinatorial analysis
exceptional collections
mutations
surface-like pseudolattices
toric systems
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Beschreibung
Zusammenfassung:We provide a categorical framework for recent results of Markus Perling's on the combinatorics of exceptional collections on numerically rational surfaces. Using it we simplify and generalize some of Perling's results as well as Vial's criterion for the existence of a numerical exceptional collection. Bibliography: 18 titles.
ISSN:1064-5616
1468-4802
DOI:10.1070/SM8917