Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Raufi, Hossein"'
Publikováno v:
Indiana Univ. Math. J. 71 (2022), no. 1, 153-189
We define Chern and Segre forms, or rather currents, associated with a Griffiths positive singular hermitian metric $h$ with analytic singularities on a holomorphic vector bundle $E$. The currents are constructed as pushforwards of generalized Monge-
Externí odkaz:
http://arxiv.org/abs/1802.06614
Publikováno v:
Advances in Mathematics 326 (2018), 465 - 489
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:
http://arxiv.org/abs/1608.05542
Autor:
Raufi, Hossein
Using $L^2$-methods for the $\bar\partial$-equation we prove that the Ohsawa-Takegoshi extension theorem also holds for holomorphic sections of a vector bundle, over compact K\"ahler manifolds. We then proceed to show that the conditions that are nee
Externí odkaz:
http://arxiv.org/abs/1405.1637
Autor:
Raufi, Hossein
We give two different definitions of what it means for a matrix-valued function to be log concave, guided by similar notions in complex differential geometry. After discussing a few simple examples, we proceed to develop some of the basic properties
Externí odkaz:
http://arxiv.org/abs/1311.7343
Autor:
Raufi, Hossein
We prove the classical Nakano vanishing theorem with H\"ormander $L^2$-estimates on a compact K\"ahler manifold using Siu's so called $\partial\dbar$-Bochner-Kodaira method, thereby avoiding the K\"ahler identities completely. We then introduce singu
Externí odkaz:
http://arxiv.org/abs/1212.4417
Autor:
Raufi, Hossein
We introduce and study a notion of singular hermitian metrics on holomorphic vector bundles, following Berndtsson and P{\u{a}}un. We define what it means for such a metric to be curved in the sense of Griffiths and investigate the assumptions needed
Externí odkaz:
http://arxiv.org/abs/1211.2948
Publikováno v:
In Advances in Mathematics 21 February 2018 326:465-489
Publikováno v:
Indiana University Mathematics Journal. 71:153-189
We define Chern and Segre forms, or rather currents, associated with a Griffiths positive singular hermitian metric $h$ with analytic singularities on a holomorphic vector bundle $E$. The currents are constructed as pushforwards of generalized Monge-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8ced709810e2ab56a9ea379b1809017f
https://doi.org/10.1512/iumj.2022.71.8834
https://doi.org/10.1512/iumj.2022.71.8834
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.