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Seminar

Frobenius Singularity Day May 21, 2013 (01:30 PM PDT - 04:00 PM PDT)
Parent Program: Commutative Algebra
Location: MSRI: Baker Board Room
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1:30 - 2:10 PM

A characterization of toric varieties in positive characteristic

Speaker: Piotr Achinger

Abstract: A theorem of J. F. Thomsen states that Frobenius push-forwards of line  bundles on smooth toric varieties are direct sums of line bundles.

Using characterization of toric varieties in terms of their Cox rings,  we show that this property in fact characterizes smooth projective  toric varieties.

2:20 - 3:00 PM

F-signature of a Cartier module

Speaker: Kevin Tucker

 

3:30 - 4:00 PM

Irrational Hilbert-Kunz multiplicities

Speaker: Holger Brenner

Abstract: A theorem of J. F. Thomsen states that Frobenius push-forwards of line  bundles on smooth toric varieties are direct sums of line bundles.

We show how to get from an artinian module with irrational Hilbert-Kunz multiplicity a local ring with irrational Hilbert-Kunz multiplicity.

 



 

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