We prove the $L^2$ extension theorem for jets with optimal estimate following the method of Berndtsson-Lempert. For this purpose, following Demailly's construction
Koculak M, Konishi M, Koss C, Kvam PD, Kwok SC, Lebreton M, Lempert KM, Egerstedt A, Berntsson J, Smith ML, Gidlof O, Nilsson R, Benson M, Wells QS,
45. 10.1. L2- extension of holomorphic sections from a smooth divisor. 45. [4] Berndtsson, B. Curvature of vector bundles associated to holomorphic [14] Berndtsson, B.; Lempert, L. A proof of the Ohsawa-Takegoshi theorem with Bo BERNDTSSON; László LEMPERT: (Department of Mathematics, Chalmers University of Technology; Department of Mathematics, Purdue University) Zhou [6].
Berndtsson Knut Johan disponent f. Limhamn 1961-12-04 1962:798 Lempert Isai Selem köpman Möllevången 1962-02-23 1962:874. Lenander Inge Vilhelm Alexandra Berndtsson's picture. Alexandra Berndtsson · 2 Followers 5 Wishes · Follow me anni.lempert@gmail.com's picture · 2 Followers · Follow me.
As an application, we give an optimal estimate for extensions from possibly non-reduced subvarieties.
Chalmers forskningsinformation, projekt och publikationer för Bo Berndtsson. L. Lempert. Journal of the Mathematical Society of Japan. Vol. 68 (4), p. 1461-1472
Journal of the Mathematical Society of Japan. Vol. 68 (4), p. A proof of the Ohsawa–Takegoshi theorem with sharp estimates. B Berndtsson, L Lempert.
Abstract. The presentation is based on Berndtsson&Lempert[1]. Since Suita conjecture was proved by B locki[3] based on a sharp version of the Ohsawa-Takegoshi theorem, some other approaches to prove this conjecture appeared, for example in [4] . A much simpler way proposed by Lempert is to use the plurisubharmonic variation of the Bergman kernels.
ひょんなことから，昨年，BerndtssonとLempertはこの種の半正値性から，L2 正則関数の拡張に関する最良の結果が導けることを示した．この快挙にまつわる Författare: Bo Berndtsson; L. Lempert. Publiceringsår: 2016. Publicerat i: Journal of the Mathematical Society of Japan. Publikationstyp: Artikel i 2016. A proof of the Ohsawa-Takegoshi theorem with sharp estimates. Bo Berndtsson, L. Lempert. Journal of the Mathematical Society of Japan.
A proof of the Ohsawa–Takegoshi theorem with sharp estimates. B Berndtsson, L Lempert. Journal of the Mathematical Society of Japan 68 (4), 1461-1472,
Jag forskar i flerdimensionell komplex analys och komplex geometri. Se även http://www.chalmers.se/sv/personal/Sidor/bob.aspx. various results on the Bergman kernel are presented, including recent works of Maitani-Yamaguchi, Berndtsson, Guan-Zhou, and Berndtsson-Lempert.
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Author: Bo Berndtsson; L. Lempert Published: 2016 Published in: Journal of the Mathematical Society of Japan Publication type: Journal article 2015 The Openness Conjecture and B. Berndtsson, Subharmonicity of the Bergman kernel and some other functions associated to pseudoconvex domains, Ann. Inst. Fourier, 56 (2006), 1633–1662. Mathematical Reviews (MathSciNet): MR2282671 Digital Object Identifier: doi:10.5802/aif.2223 Bo Berndtsson, L. Lempert.
Fourier , Volume 56 (2006) no.
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L2 Approaches in Several Complex Variables: Towards the Oka cartan Theory With Precise Bounds: Amazon.it: Ohsawa, Takeo: Libri in altre lingue
Fourier , Tome 56 (2006) no. 6, pp. 1633-1662 [2] Berndtsson, B. Prekopa’s theorem and Kiselman’s minimum principle for plurisubharmonic functions, Math. Ann., Volume 312 (1998) no. 4, pp. 785-792 [3] Berndtsson, B. Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains , Ann. Inst. Fourier , Volume 56 (2006) no.
On the proof of the optimal L2 extension theorem by Berndtsson-Lempert and related results, Seminar on Geometric Complex Analysis, Tokyo, November 2017. On the proof of the optimal L2 extension theorem by Berndtsson-Lempert and related results, Seminar in Analytic Geometry, Nagoya, Febrary 2018.
1. Introduction The Ohsawa-Takegoshi L2 extension theorem, first proved in [OT], is one of the most important theorems in … In Chapter 4, various results on the Bergman kernel are presented, including recent works of Maitani–Yamaguchi, Berndtsson, Guan–Zhou, and Berndtsson–Lempert. Most of these results are obtained by the L² method. DOI: 10.2969/JMSJ/06841461 Corpus ID: 119632817.
lar results in complex analysis and algebraic geometry by Berndtsson, Blocki, Demailly, Guan-Zhou, Paun, Siu and others. He explained some of these recent developments, in particular, the work of Blocki [6] and Guang-Zhou [22] on the Suita conjecture and those of Guang-Zhou [23], Berndtsson-Lempert [4] on the strong openness conjecture. Nakano-Positivityof HolomorphicHilbertBundles andL2 ExtensionTheory E.M.Ainasse StonyBrookMathematicsDepartment andInstituteforMathematicalSciences May1st,2020 Nakano L² Approaches in Several Complex Variables: Towards the Oka–Cartan Theory with Precise Bounds: Ohsawa, Takeo: 9784431568513: Books - Amazon.ca 2017-09-14 · Dror Varolin Variations of Holomorphic Hilbert spaces Traditional complex analysis focuses on a single space, like a domain in Euclidean space, or more gener L2 Approaches in Several Complex Variables: Towards the Oka cartan Theory With Precise Bounds: Amazon.it: Ohsawa, Takeo: Libri in altre lingue 24 Feb 2021 optimal L2 extension theorem by Berndtsson-Lempert and related results, Seminar on Geometric Complex Analysis, Tokyo, November 2017. in Berndtsson and Lempert [2016] is that the same technique can be used to give a proof of the Ohsawa-Takegoshi extension theorem, Ohsawa and Takegoshi I do research in several dimensional complex analysis and complex geometry. See also http://www.chalmers.se/en/Staff/Pages/bob.aspx. Convexity on the space of Kähler metrics.