Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Jean Ruppenthal"'
Autor:
Jean Ruppenthal
Publikováno v:
Annales de la Faculté des sciences de Toulouse : Mathématiques. 28:225-258
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78805c8e03491ceefa7a6476fb9b9c8a
https://doi.org/10.5802/afst.1599
https://doi.org/10.5802/afst.1599
Publikováno v:
The Journal of Geometric Analysis. 30:2974-3001
We study the solvability in $L^p$ of the $\bar\partial$-equation in a neighborhood of a canonical singularity on a complex surface, a so-called du Val singularity. We get a quite complete picture in case $p=2$ for two natural closed extensions $\bar\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bcce402762ba258d4ab33a253abf29de
https://doi.org/10.1007/s12220-019-00187-2
https://doi.org/10.1007/s12220-019-00187-2
Autor:
Jean Ruppenthal
Publikováno v:
International Mathematics Research Notices. 2018:7198-7240
In the present paper, we devise a version of topological $L^2$-Serre duality for singular complex spaces with arbitrary singularities. This duality is used to deduce various new $L^2$-vanishing theorems for the $\bar{\partial}$-equation on singular s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e0972cdde4c57b18ff7753b74cf7e84
https://doi.org/10.1093/imrn/rnx097
https://doi.org/10.1093/imrn/rnx097
Publikováno v:
The Quarterly Journal of Mathematics.
It is conjectured that the Dolbeault cohomology of a complex nilmanifold $X$ is computed by left-invariant forms. We prove this under the assumption that $X$ is suitably foliated in toroidal groups and deduce that the conjecture holds in real dimensi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a6e0d4715b210556d4205fca7c9a6464
https://doi.org/10.1093/qmath/haz017
https://doi.org/10.1093/qmath/haz017
Autor:
Dariush Ehsani, Jean Ruppenthal
Publikováno v:
The Journal of Geometric Analysis. 24:1844-1859
We prove subelliptic estimates for the \(\bar{\partial}\)-problem at the isolated singularity of the variety z2=xy in ℂ3.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::524e4240891d1f64c238edd2ccd283ec
https://doi.org/10.1007/s12220-013-9397-6
https://doi.org/10.1007/s12220-013-9397-6
We study singular hermitian metrics on holomorphic vector bundles, following Berndtsson-P{\u{a}}un. Previous work by Raufi has shown that for such metrics, it is in general not possible to define the curvature as a current with measure coefficients.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7dad2ffdb7e54e02e4a00ceaa5469ea7
Autor:
Jean Ruppenthal
Publikováno v:
International Journal of Mathematics. 20:459-489
Let Y be a pure dimensional analytic variety in ℂn with an isolated singularity at the origin such that the exceptional set X of a desingularization of Y is regular. The main objective of the present paper is to present a technique which allows us
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::444d3d25b38324ad82fa8b0c6902b062
https://doi.org/10.1142/s0129167x09005388
https://doi.org/10.1142/s0129167x09005388
Autor:
Jean Ruppenthal
Publikováno v:
Mathematische Zeitschrift. 263:447-472
Let X be a regular irreducible variety in CP n 1 , Y the associated homogeneous variety in C n , and N the restriction of the universal bundle of CP n 1 to X. In the present paper, we compute the obstructions to solving the @-equation in the L p -sen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4682578e0326d39fe6339ef96ff074d4
https://doi.org/10.1007/s00209-008-0425-3
https://doi.org/10.1007/s00209-008-0425-3
Autor:
Jean Ruppenthal
Publikováno v:
Journal of Geometric Analysis. 18:1127-1132
Let X be a connected normal Stein space of pure dimension d≥2 with finitely many isolated singularities. By solving a weighted \(\overline{\partial}\) -equation with compact support on a desingularization of X, we derive Hartogs’ Extension Theore
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::17d07911f9031f954a9511dc5a7d0a30
https://doi.org/10.1007/s12220-008-9042-y
https://doi.org/10.1007/s12220-008-9042-y
Autor:
Jean Ruppenthal
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9784431557432
In this survey, we explain a version of topological \(L^2\)-Serre duality for singular complex spaces with arbitrary singularities. This duality can be used to deduce various \(L^2\)-vanishing theorems for the \(\overline{\partial }\)-equation on sin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5c82c05027b545c2acbf5220e6d3955e
https://doi.org/10.1007/978-4-431-55744-9_23
https://doi.org/10.1007/978-4-431-55744-9_23