Towards finite generation of higher rational rank valuations

C. Xu

doi:10.1070/SM9448

Towards finite generation of higher rational rank valuations

C. Xu

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We propose a finite generation conjecture for the valuation which computes the stability threshold of a log Fano pair. We also initiate a degeneration strategy for attacking the conjecture.

Original language	English (US)
Pages (from-to)	416-432
Number of pages	17
Journal	Sbornik Mathematics
Volume	212
Issue number	3
DOIs	https://doi.org/10.1070/SM9448
State	Published - Mar 2021

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

Keywords

K-stability
degeneration.
log Fano pair
ℚ-complement

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10.1070/SM9448

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title = "Towards finite generation of higher rational rank valuations",

abstract = "We propose a finite generation conjecture for the valuation which computes the stability threshold of a log Fano pair. We also initiate a degeneration strategy for attacking the conjecture.",

keywords = "K-stability, degeneration., log Fano pair, ℚ-complement",

author = "C. Xu",

note = "Publisher Copyright: {\textcopyright} 2021 Russian Academy of Sciences (DoM) and London Mathematical Society.",

year = "2021",

month = mar,

doi = "10.1070/SM9448",

language = "English (US)",

volume = "212",

pages = "416--432",

journal = "Sbornik Mathematics",

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T1 - Towards finite generation of higher rational rank valuations

AU - Xu, C.

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N2 - We propose a finite generation conjecture for the valuation which computes the stability threshold of a log Fano pair. We also initiate a degeneration strategy for attacking the conjecture.

AB - We propose a finite generation conjecture for the valuation which computes the stability threshold of a log Fano pair. We also initiate a degeneration strategy for attacking the conjecture.

KW - K-stability

KW - degeneration.

KW - log Fano pair

KW - ℚ-complement

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JO - Sbornik Mathematics

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Towards finite generation of higher rational rank valuations

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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