broadcast in Room 515, Cosmology Bldg., NTU, Online seminar
(線上演講 於台大次震宇宙館515教室直播/收播)
Invariance of Plurigenera in Positive and Mixed Characteristic
Iacopo Brivio (Harvard University)
Abstract:
A famous theorem of Siu states that the m-plurigenus
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of a complex projective manifold is invariant under deformations for all
. It is well-known that in positive or mixed characteristic this can fail for m=1. In this talk I will construct families of smooth surfaces over a DVR X/R such that
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>>
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for all m>0 divisible enough. If time permits, I will also explain how the same ideas can be used to prove (asymptotic) deformation invariance of plurigenera for
certain families of threefold pairs in positive and mixed characteristic.
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Meeting ID: 896 0321 0669
Passcode: 340252
