Seminar
Parent Program: | |
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Location: | SLMath: Baker Board Room |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
1:30 - 2:10 PM
A characterization of toric varieties in positive characteristic
Speaker: Piotr Achinger
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
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.