Hosono, Genki The optimal jet \(L^2\) extension of Ohsawa-Takegoshi type. (English) Zbl 1452.32015 Nagoya Math. J. 239, 153-172 (2020). Reviewer: Marek Jarnicki (Kraków) MSC: 32D15 32A36 PDF BibTeX XML Cite \textit{G. Hosono}, Nagoya Math. J. 239, 153--172 (2020; Zbl 1452.32015) Full Text: DOI
Hosono, Genki On sharper estimates of Ohsawa-Takegoshi \(L^2\)-extension theorem. (English) Zbl 1439.32026 J. Math. Soc. Japan 71, No. 3, 909-914 (2019). MSC: 32D15 32Q02 PDF BibTeX XML Cite \textit{G. Hosono}, J. Math. Soc. Japan 71, No. 3, 909--914 (2019; Zbl 1439.32026) Full Text: DOI Euclid arXiv
Stevenson, Matthew A non-Archimedean Ohsawa-Takegoshi extension theorem. (English) Zbl 1417.32026 Math. Z. 291, No. 1-2, 279-302 (2019). MSC: 32P05 32U05 PDF BibTeX XML Cite \textit{M. Stevenson}, Math. Z. 291, No. 1--2, 279--302 (2019; Zbl 1417.32026) Full Text: DOI arXiv
Demailly, Jean-Pierre Extension of holomorphic functions and cohomology classes from non reduced analytic subvarieties. (English) Zbl 1404.32036 Byun, Jisoo (ed.) et al., Geometric complex analysis. In honor of Kang-Tae Kim’s 60th birthday, Gyeongju, Korea, 2017. Selected papers based on the presentations at the 11th and 12th Korean conferences on several complex variables, KSCV 11 symposium and KSCV 12 symposium, July 4–8, 2016 and July 3–7, 2017. Singapore: Springer (ISBN 978-981-13-1671-5/hbk; 978-981-13-1672-2/ebook). Springer Proceedings in Mathematics & Statistics 246, 97-113 (2018). MSC: 32L10 32D15 32E05 PDF BibTeX XML Cite \textit{J.-P. Demailly}, in: Geometric complex analysis. In honor of Kang-Tae Kim's 60th birthday, Gyeongju, Korea, 2017. Selected papers based on the presentations at the 11th and 12th Korean conferences on several complex variables, KSCV 11 symposium and KSCV 12 symposium, July 4--8, 2016 and July 3--7, 2017. Singapore: Springer. 97--113 (2018; Zbl 1404.32036) Full Text: DOI
Guan, Qi’an; Li, Zhenqian A characterization of regular points by Ohsawa-Takegoshi extension theorem. (English) Zbl 1394.32008 J. Math. Soc. Japan 70, No. 1, 403-408 (2018). Reviewer: Marek Jarnicki (Kraków) MSC: 32C25 32D15 32U05 PDF BibTeX XML Cite \textit{Q. Guan} and \textit{Z. Li}, J. Math. Soc. Japan 70, No. 1, 403--408 (2018; Zbl 1394.32008) Full Text: DOI
Ohsawa, Takeo An update of extension theorems by the \(L^2\) estimates for \(\bar{\partial}^*\). (English) Zbl 1388.32003 Ji, Lizhen (ed.), Hodge Theory and \(L^2\)-analysis. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-351-7/pbk). Advanced Lectures in Mathematics (ALM) 39, 489-516 (2017). Reviewer: Harold P. Boas (College Station) MSC: 32A36 32T27 PDF BibTeX XML Cite \textit{T. Ohsawa}, in: Hodge Theory and \(L^2\)-analysis. Somerville, MA: International Press; Beijing: Higher Education Press. 489--516 (2017; Zbl 1388.32003)
Ohsawa, Takeo On the extension of \(L^{2}\) holomorphic functions VII: hypersurfaces with isolated singularities. (English) Zbl 1382.32005 Sci. China, Math. 60, No. 6, 1083-1088 (2017). Reviewer: Slawomir Kołodziej (Kraków) MSC: 32A36 32T27 PDF BibTeX XML Cite \textit{T. Ohsawa}, Sci. China, Math. 60, No. 6, 1083--1088 (2017; Zbl 1382.32005) Full Text: DOI
Cao, JunYan; Demailly, Jean-Pierre; Matsumura, Shin-ichi A general extension theorem for cohomology classes on non reduced analytic subspaces. (English) Zbl 1379.32017 Sci. China, Math. 60, No. 6, 949-962 (2017). Reviewer: Żywomir Dinew (Kraków) MSC: 32L10 32Q15 32E05 PDF BibTeX XML Cite \textit{J. Cao} et al., Sci. China, Math. 60, No. 6, 949--962 (2017; Zbl 1379.32017) Full Text: DOI
Demailly, Jean-Pierre Extension of holomorphic functions defined on non reduced analytic subvarieties. (English) Zbl 1360.14025 Ji, Lizhen (ed.) et al., The legacy of Bernhard Riemann after one hundred and fifty years. Volume I. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-318-0/pbk; 978-1-57146-316-6/set). Advanced Lectures in Mathematics (ALM) 35, 1, 191-222 (2016). Reviewer: Malgorzata Marciniak (Flushing) MSC: 14C30 14F05 32C35 PDF BibTeX XML Cite \textit{J.-P. Demailly}, in: The legacy of Bernhard Riemann after one hundred and fifty years. Volume I. Somerville, MA: International Press; Beijing: Higher Education Press. 191--222 (2016; Zbl 1360.14025)
Błocki, Zbigniew Estimates for \(\bar{\partial}\) and optimal constants. (English) Zbl 1337.32052 Fornæss, John Erik (ed.) et al., Complex geometry and dynamics. The Abel symposium 2013, Trondheim, Norway, July 2–5, 2013. Cham: Springer (ISBN 978-3-319-20336-2/hbk; 978-3-319-20337-9/ebook). Abel Symposia 10, 45-50 (2015). MSC: 32W05 32D15 PDF BibTeX XML Cite \textit{Z. Błocki}, Abel Symp. 10, 45--50 (2015; Zbl 1337.32052) Full Text: DOI
Chen, Bo-Yong; Wu, Jujie; Wang, Xu Ohsawa-Takegoshi type theorem and extension of plurisubharmonic functions. (English) Zbl 1330.32011 Math. Ann. 362, No. 1-2, 305-319 (2015). Reviewer: Sione Ma’u (Auckland) MSC: 32U05 32U40 32W05 32D15 32D20 PDF BibTeX XML Cite \textit{B.-Y. Chen} et al., Math. Ann. 362, No. 1--2, 305--319 (2015; Zbl 1330.32011) Full Text: DOI arXiv
Guan, Qi’an; Zhou, Xiangyu Generalized \(L^2\) extension theorem and a conjecture of Ohsawa. (English) Zbl 1272.32011 C. R., Math., Acad. Sci. Paris 351, No. 3-4, 111-114 (2013). Reviewer: Zywomir Dinew (Kraków) MSC: 32D15 32W05 32E30 PDF BibTeX XML Cite \textit{Q. Guan} and \textit{X. Zhou}, C. R., Math., Acad. Sci. Paris 351, No. 3--4, 111--114 (2013; Zbl 1272.32011) Full Text: DOI
Guan, Qi’an; Zhou, Xiangyu; Zhu, Langfeng On the Ohsawa-Takegoshi \(L^2\) extension theorem and the twisted Bochner-Kodaira identity. (English) Zbl 1227.32014 C. R., Math., Acad. Sci. Paris 349, No. 13-14, 797-800 (2011). Reviewer: Gregor Herbort (Wuppertal) MSC: 32E30 32W05 32D15 PDF BibTeX XML Cite \textit{Q. Guan} et al., C. R., Math., Acad. Sci. Paris 349, No. 13--14, 797--800 (2011; Zbl 1227.32014) Full Text: DOI
Koziarz, Vincent Extensions with estimates of cohomology classes. (English) Zbl 1209.32009 Manuscr. Math. 134, No. 1-2, 43-58 (2011). Reviewer: Marek Jarnicki (Kraków) MSC: 32L10 32D15 32J25 PDF BibTeX XML Cite \textit{V. Koziarz}, Manuscr. Math. 134, No. 1--2, 43--58 (2011; Zbl 1209.32009) Full Text: DOI
Demailly, Jean-Pierre Estimates on Monge-Ampère operators derived from a local algebra inequality. (English) Zbl 1209.32024 Passare, Mikael (ed.), Complex analysis and digital geometry. Proceedings from the Kiselmanfest, Uppsala, Sweden, May 2006 on the occasion of Christer Kiselman’s retirement. Uppsala: Univ. Uppsala (ISBN 978-91-554-7672-4/pbk). 131-143 (2009). Reviewer: Daniel Barlet (Nancy) MSC: 32W20 32U10 32S05 14B05 14C17 PDF BibTeX XML Cite \textit{J.-P. Demailly}, in: Complex analysis and digital geometry. Proceedings from the Kiselmanfest, Uppsala, Sweden, May 2006 on the occasion of Christer Kiselman's retirement. Uppsala: Univ. Uppsala. 131--143 (2009; Zbl 1209.32024)
Siu, Yum-Tong Invariance of plurigenera. (English) Zbl 0955.32017 Invent. Math. 134, No. 3, 661-673 (1998). Reviewer: Alexandr Yu.Rashkovsky (Khar’kov) MSC: 32J25 32G08 32L10 PDF BibTeX XML Cite \textit{Y.-T. Siu}, Invent. Math. 134, No. 3, 661--673 (1998; Zbl 0955.32017) Full Text: DOI arXiv Backlinks: MO
Siu, Yum-Tong The Fujita conjecture and the extension theorem of Ohsawa-Takegoshi. (English) Zbl 0941.32021 Noguchi, J. (ed.) et al., Geometric complex analysis. Proceedings of the conference held at the 3rd International Research Institute of the Mathematical Society of Japan, Hayama, March 19-29, 1995. Singapore: World Scientific. 577-592 (1996). MSC: 32L10 14C20 32J25 PDF BibTeX XML Cite \textit{Y.-T. Siu}, in: Geometric complex analysis. Proceedings of the conference held at the 3rd International Research Institute of the Mathematical Society of Japan, Hayama, March 19--29, 1995. Singapore: World Scientific. 577--592 (1996; Zbl 0941.32021)