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  1. D200 大学院多元数理科学研究科
  2. D200a 雑誌掲載論文
  3. 学術雑誌

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/2237/24917
d9a90325-e14b-4b16-87fd-3d5bbfe7f71f
名前 / ファイル ライセンス アクション
Crelles_Journal_713_2016_129.pdf Crelles_Journal_713_2016_129.pdf (312.4 kB)
Item type 学術雑誌論文 / Journal Article(1)
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

WEKO 66998

en Hisamoto, Tomoyuki

Search repository
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
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
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