Zobrazeno 1 - 10
of 77
pro vyhledávání: '"Giuseppe Tomassini"'
Autor:
Giuseppe Tomassini
Publikováno v:
Rendiconti di Matematica e delle Sue Applicazioni, Vol 25, Iss 2, Pp 175-184 (2005)
We present some new results on the extension problem of analytic objects. In particular we discuss two classes of them, namely sections of coherent sheaves and Levi flat hypersurfaces.
Externí odkaz:
https://doaj.org/article/30b814473cfe4ab4b9a0432108e83f07
Autor:
Giuseppe Tomassini
Publikováno v:
Rendiconti Lincei - Matematica e Applicazioni. 32:549-564
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::92676f89c619a82be9270044e212cff7
https://doi.org/10.4171/rlm/948
https://doi.org/10.4171/rlm/948
Publikováno v:
Математический сборник. 212:126-156
Предыдущие результаты авторов о существовании глобальных определяющих функций распространены на ряд новых постановок. В частности, ус
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::947a2000aafdb005f690cf45a4207100
https://doi.org/10.4213/sm8898
https://doi.org/10.4213/sm8898
Autor:
Samuele Mongodi, Giuseppe Tomassini
Publikováno v:
Advancements in Complex Analysis ISBN: 9783030401191
In this paper, we want to study the link between the presence of compact objects with some analytic structure and the global geometry of a weakly complete surface. We begin with a brief survey of some now classic results on the local geometry around
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6faaa1194c1824189d541fd06cba10cb
http://hdl.handle.net/10281/349864
http://hdl.handle.net/10281/349864
Publikováno v:
The Journal of Geometric Analysis. 30:2293-2325
We continue the study of the core $${\mathfrak {c}}(\Omega )$$ of a complex manifold $$\Omega $$ which was initiated in Harz et al. (Math Z, doi:10.1007/s00209-016-1792-9, 2016). The main focus lies on the investigation of pseudoconcavity and Liouvil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ba31a7593e603d665e29b8551fc81967
https://doi.org/10.1007/s12220-017-9846-8
https://doi.org/10.1007/s12220-017-9846-8
We prove some extension theorems for quaternionic holomorphic functions in the sense of Fueter. Starting from the existence theorem for the nonhomogeneous Cauchy-Riemann-Fueter Problem, we prove that an $\mathbb{H}$-valued function $f$ on a smooth hy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1bced12e4aee5bb04cb179a0a70cc75d
Publikováno v:
Mathematische Zeitschrift. 286:987-1002
We show that every strictly pseudoconvex domain $$\Omega $$ with smooth boundary in a complex manifold $${\mathcal {M}}$$ admits a global defining function, i.e., a smooth plurisubharmonic function $$\varphi :U \rightarrow {\mathbb {R}}$$ defined on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5f25d6fc23029c9d188ac5c3d3c0b2f4
https://doi.org/10.1007/s00209-016-1792-9
https://doi.org/10.1007/s00209-016-1792-9
Autor:
Giuseppe Tomassini, Simone Borghesi
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 196:1273-1306
In this article we give two notions of hyperbolicity for groupoids on the analytic site of complex spaces, which we call Kobayashi and Brody hyperbolicity. In the special case the groupoid is a complex analytic space, these notions of hyperbolicity g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e55789b34861d1830f08d7c59b1e4cfc
https://doi.org/10.1007/s10231-016-0616-1
https://doi.org/10.1007/s10231-016-0616-1
Autor:
Giuseppe Tomassini, Samuele Mongodi
The name of Oka principle, or Oka–Grauert principle, is traditionally used to refer to the holomorphic incarnation of the homotopy principle: on a Stein space, every problem that can be solved in the continuous category, can be solved in the holomo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::11bb6c28e116244ef59858f8fd279077
http://arxiv.org/abs/1805.00583
http://arxiv.org/abs/1805.00583
Publikováno v:
Comptes Rendus Mathematique. 353:969-972
A weakly complete space is a (connected) complex space endowed with a (smooth) plurisubharmonic exhaustion function. In this paper, we classify the weakly complete surfaces (i.e. weakly complete manifolds of dimension 2) for which such exhaustion fun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::34aa071fcfcc2fb83a218e845fafada4
https://doi.org/10.1016/j.crma.2015.08.009
https://doi.org/10.1016/j.crma.2015.08.009