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Extension of quasiplurisubharmonic functions
Multi angle
Authors : Coman, Dan (Author of the conference)
CIRM (Publisher )
31C10 - Pluriharmonic and plurisubharmonic functions, See Also { 32F05}
32C25 - Analytic subsets and submanifolds
32Q28 - Stein manifolds
32U05 - plurisubharmonic functions and generalizations
32Q15 - Kähler manifolds
CIRM (Publisher )
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Abstract :
Let $(V,\omega)$ be a compact Kähler manifold and $X$ be an analytic subvariety of $V$. We address the problem of extending $\omega$-plurisubharmonic functions on $X$ to $\omega$-plurisubharmonic functions on $V$. Our results are joint with Vincent Guedj and Ahmed Zeriahi.
Keywords : quasiplurisubharmonic function; Kähler manifold; analytic subset
MSC Codes : Keywords : quasiplurisubharmonic function; Kähler manifold; analytic subset
31C10 - Pluriharmonic and plurisubharmonic functions, See Also { 32F05}
32C25 - Analytic subsets and submanifolds
32Q28 - Stein manifolds
32U05 - plurisubharmonic functions and generalizations
32Q15 - Kähler manifolds
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 16/11/2022 Conference Date : 20/10/2022 Subseries : Research talks arXiv category : Complex Variables ; Algebraic Geometry ; Differential Geometry ; Condensed Matter Mathematical Area(s) : Analysis and its Applications ; Geometry Format : MP4 (.mp4) - HD Video Time : 00:43:01 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-10-20_Coman.mp4 
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Information on the Event
Event Title : Complex Geometry, Dynamical Systems and Foliation Theory / Géométrie complexe, systèmes dynamiques et théorie de feuilletagesEvent Organizers : Marinescu, George ; Nguyên, Viêt Anh ; Wulcan, Elizabeth Dates : 17/10/2022 - 21/10/2022 Event Year : 2022 Event URL : https://conferences.cirm-math.fr/2639.html
Citation Data
DOI : 10.24350/CIRM.V.19968903Cite this video as: Coman, Dan (2022). Extension of quasiplurisubharmonic functions. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19968903 URI : http://dx.doi.org/10.24350/CIRM.V.19968903 |
See Also
- [Multi angle] New solution of a problem of Kolmogorov on width asymptotics in holomorphic function spaces / Author of the conference Nivoche, Stéphanie.
- [Multi angle] Formal principle for rational curves in complex threefolds / Author of the conference Hwang, Jun-Muk.
- [Multi angle] On the metric structure of section rings / Author of the conference Finski, Siarhei.
- [Multi angle] On the automorphisms of compact Kähler manifolds / Author of the conference Dinh, Tien-Cuong.
Bibliography
- COMAN, Dan, GUEDJ, Vincent, et ZERIAHI, Ahmed. On the extension of quasiplurisubharmonic functions. Analysis Mathematica, 2022, p. 1-16. - http://dx.doi.org/10.1007/s10476-022-0153-7
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