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On the limit of spectral measures associated to a test configuration of a polarized Kähler manifold
http://hdl.handle.net/2237/24917
http://hdl.handle.net/2237/24917d9a90325-e14b-4b16-87fd-3d5bbfe7f71f
名前 / ファイル | ライセンス | アクション |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2016-09-28 | |||||
タイトル | ||||||
タイトル | On the limit of spectral measures associated to a test configuration of a polarized Kähler manifold | |||||
言語 | en | |||||
著者 |
Hisamoto, Tomoyuki
× Hisamoto, Tomoyuki |
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アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
抄録 | ||||||
内容記述 | We apply our integral formula of volumes to the family of graded linear series constructed from any test configuration. This solves the conjecture raised by Witt Nyström to the effect that the sequence of spectral measures for the induced ℂ*-action on the central fiber converges to the canonical measure defined by the associated weak geodesic ray in the space of Kähler metrics. This limit measure coincides with the classical Duistermaat–Heckmann measure if the test configuration is product. As a consequence, we show that the algebraic p-norm of the test configuration is equal to the Lp-norm of tangent vectors on the geodesic ray. Using this result, we give a natural energy theoretic explanation for the lower bound estimate on the Calabi functional by Donaldson, extending the statement to any p-norm (p ≥ 1), and prove an analogous result for Kähler–Einstein metrics. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
内容記述 | ||||||
内容記述 | Published Online: 2014-04-11 | |||||
言語 | en | |||||
内容記述タイプ | Other | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | Walter de Gruyter | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
出版タイプ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1515/crelle-2014-0021 | |||||
ISSN | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 0075-4102 | |||||
書誌情報 |
Journal für die reine und angewandte Mathematik (Crelles Journal) 巻 2016, 号 713, p. 129-148, 発行日 2016-04 |
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著者版フラグ | ||||||
値 | publisher | |||||
URI | ||||||
識別子 | http://doi.org/10.1515/crelle-2014-0021 | |||||
識別子タイプ | DOI | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2237/24917 | |||||
識別子タイプ | HDL |