Invariance of certain plurigenera for surfaces in mixed characteristics
Andrew Egbert, Christopher D. Hacon
TL;DR
This paper proves that for certain log surfaces smooth over a DVR, key invariants like Kodaira dimension and specific plurigenera remain unchanged under deformation, advancing understanding in mixed characteristic algebraic geometry.
Contribution
It establishes the invariance of Kodaira dimension and plurigenera for log surfaces in mixed characteristic, a significant extension of deformation invariance results.
Findings
Invariance of Kodaira dimension for log surfaces in mixed characteristic
Invariance of certain plurigenera under deformation
Extension of deformation invariance to mixed characteristic settings
Abstract
We prove the deformation invariance of Kodaira dimension and of certain plurigenera for log surfaces which are smooth over a DVR.
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