The McKay correspondence, tilting, and rationality

Morgan Brown, Ian Shipman

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

We consider the problem of comparing t-structures under the derived McKay correspondence and for tilting equivalences. In low-dimensional cases, we relate the t-structures via torsion theories arising from additive functions on the triangulated category. As an application, we give a criterion for rationality for surfaces with a tilting bundle. We also show that every smooth projective surface that admits a full, strong, and exceptional collection of line bundles is rational.

Original languageEnglish (US)
Pages (from-to)785-811
Number of pages27
JournalMichigan Mathematical Journal
Volume66
Issue number4
DOIs
StatePublished - Nov 1 2017

ASJC Scopus subject areas

  • Mathematics(all)

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