Adjoint ideals and a correspondence between log canonicity and F-purity

Details Adjoint ideals and a correspondence between log canonicity and F-purity Adjoint ideals and a correspondence between log canonicity and F-purity

2011-04-30

arxiv.org/abs/1105.0072v3

Mathematics

Algebraic Geometry

22 pages, v2: Introduction revised, Section 2 expanded (Example 2.9 and Remarks 2.6, 2.8 and 2.12 added), new references added

Scientific paper

This paper presents three results on F-singularities. First, we give a new proof of Eisenstein's restriction theorem for adjoint ideal sheaves, using the theory of F-singularities. Second, we show that a conjecture of Musta\c{t}\u{a} and Srinivas implies a conjectural correspondence of F-purity and log canonicity. Finally, we prove this correspondence when the defining equations of the variety are very general.

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