A Characterization of the Polydisc.
Charles M. Stanton (1980)
Mathematische Annalen
Andrei Iordan (1990)
Mathematische Annalen
Bun Wong (1984)
Mathematische Zeitschrift
V. Anandam, M. Damlakhi (2003)
Annales Polonici Mathematici
Some properties of the functions of the form in ℝⁿ, n ≥ 2, where each is a harmonic function defined outside a compact set, are obtained using the harmonic measures.
Songxiao Li (2007)
Czechoslovak Mathematical Journal
This article provided some sufficient or necessary conditions for a class of integral operators to be bounded on mixed norm spaces in the unit ball.
Azimbay Sadullaev (2012)
Annales Polonici Mathematici
We consider a class of maximal plurisubharmonic functions and prove several properties of it. We also give a condition of maximality for unbounded plurisubharmonic functions in terms of the Monge-Ampère operator .
Matei Toma (1989)
Annales de l'institut Fourier
Let be a compact complex nonsingular surface without curves, and a holomorphic vector bundle of rank 2 on . It turns out that the associated projective bundle has no divisors if and only if is “strongly” irreducible. Using the results concerning irreducible bundles of [Banica-Le Potier, J. Crelle, 378 (1987), 1-31] and [Elencwajg- Forster, Annales Inst. Fourier, 32-4 (1982), 25-51] we give a proof of existence for bundles which are strongly irreducible.
Camille Plénat, Patrick Popescu-Pampu (2006)
Bulletin de la Société Mathématique de France
Let be a germ of complex analytic normal surface. On its minimal resolution, we consider the reduced exceptional divisor and its irreducible components , . The Nash map associates to each irreducible component of the space of arcs through on the unique component of cut by the strict transform of the generic arc in . Nash proved its injectivity and asked if it was bijective. As a particular case of our main theorem, we prove that this is the case if for any .
A. T. Huckleberry, D. Snow (1981)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Reynir Axelsson, Jón Magnússon (1998)
Annales de la Faculté des sciences de Toulouse : Mathématiques
J.M. Wahl (1983)
Inventiones mathematicae
Viorel Vâjâitu (2010)
Czechoslovak Mathematical Journal
Let be a complex space of dimension , not necessarily reduced, whose cohomology groups are of finite dimension (as complex vector spaces). We show that is Stein (resp., -convex) if, and only if, is holomorphically spreadable (resp., is holomorphically spreadable at infinity). This, on the one hand, generalizes a known characterization of Stein spaces due to Siu, Laufer, and Simha and, on the other hand, it provides a new criterion for -convexity.
C. Denson Hill, Mauro Nacinovich (1994)
Rendiconti del Seminario Matematico della Università di Padova
Sandro Manfredini (2003)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
In this paper we study generic coverings of branched over a curve s.t. the total space is a normal analytic surface, in terms of a graph representing the monodromy of the covering, called monodromy graph. A complete description of the monodromy graphs and of the local fundamental groups is found in case the branch curve is (with ) and the degree of the cover is equal to or .
Jun-Muk Hwang, Dror Varolin (2002)
Annales de l’institut Fourier
For each 2-dimensional complex torus , we construct a compact complex manifold with a -action, which compactifies such that the quotient of by the -action is biholomorphic to . For a general , we show that has no non-constant meromorphic functions.
Szilárd Gy. Révész (2006)
Annales Polonici Mathematici
We compare the yields of two methods to obtain Bernstein type pointwise estimates for the derivative of a multivariate polynomial in a domain where the polynomial is assumed to have sup norm at most 1. One method, due to Sarantopoulos, relies on inscribing ellipses in a convex domain K. The other, pluripotential-theoretic approach, mainly due to Baran, works for even more general sets, and uses the pluricomplex Green function (the Zaharjuta-Siciak extremal function). When the inscribed ellipse method...
Christian Okonek (1985/1986)
Mathematische Annalen
Taubes, Clifford Henry (2002)
Geometry & Topology
Zbigniew Błocki (1992)
Annales Polonici Mathematici
We compute the constant sup : P a polynomial in , where S denotes the euclidean unit sphere in and σ its unitary surface measure.
Junjiro Noguchi, Kazuo Masuda (1996)
Mathematische Annalen