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Sbornik: Mathematics, 2021, Volume 212, Issue 3, Pages 416–432
DOI: https://doi.org/10.1070/SM9448 (Mi sm9448) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Towards finite generation of higher rational rank valuations

C. Xuabc

a Department of Mathematics, Princeton University, Princeton, NJ, USA
b Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, USA
c Beijing International Center for Mathematical Research, Peking University, Beijing, P.R. China
English version PDF (576 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/SM9448
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.
Bibliography: 17 titles.
Keywords: log Fano pair, $\mathrm{K}$-stability, $\mathbb Q$-complement, degeneration.
Funding agency Grant number
National Science Foundation DMS-1901849
This research was partially supported by the National Science Foundation (grant DMS-1901849).
Received: 19.05.2020 and 09.10.2020
Bibliographic databases:
Document Type: Article
UDC: 512.725+512.761+512.765
MSC: Primary 14B05; Secondary 14E30
Language: English
Original paper language: Russian
Citation: C. Xu, “Towards finite generation of higher rational rank valuations”, Sb. Math., 212:3 (2021), 416–432
Citation in format AMSBIB
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\by C.~Xu
\paper Towards finite generation of higher rational rank valuations
\jour Sb. Math.
\yr 2021
\vol 212
\issue 3
\pages 416--432
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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