The geometry of the period mapping on cyclic covers of P1
The Gleason problem for , , .
The globally homeomorphic solutions to Beltrami system in Cn.
The graded Lie algebra of a Kähler group.
The gradient lemma
We show that if a decreasing sequence of subharmonic functions converges to a function in then the convergence is in .
The Gromov Norm of the Kaehler Class of Symmetric Domains.
The group of biholomorphic automorphisms of symmetric Siegel domains and its topology
The growth of regular functions on algebraic sets
We are concerned with the set of all growth exponents of regular functions on an algebraic subset V of . We show that its elements form an increasing sequence of rational numbers and we study the dependence of its structure on the geometric properties of V.
The hard Lefschetz theorem and the topology of semismall maps
The Hartogs-type extension theorem for meromorphic mappings into -complete complex spaces
Si dimostra un risultato di prolungamento per applicazioni meromorfe a valori in uno spazio -completo che generalizza direttamente il risultato classico di Hartogs e migliora risultati di K. Stein.
The Hartogs-type extension theorem for meromorphic maps intor compact Kähler manifolds.
The Hilbert modular group, resolution of the singularities at the cusps and related problems
The Hirzebruch-Mumford volume for the orthogonal group and applications.
The hodge conjecture for cubic fourfolds
The Hölder continuity of the Bergman projection and proper holomorphic mappings
The holomorphic automorphism group of the complex disk.
The holomorphic automorphism groups of twisted Fock-Bargmann-Hartogs domains
We consider a certain class of unbounded nonhyperbolic Reinhardt domains which is called the twisted Fock-Bargmann-Hartogs domains. By showing Cartan's linearity theorem for our unbounded nonhyperbolic domains, we give a complete description of the automorphism groups of twisted Fock-Bargmann-Hartogs domains.
The holomorphic extension of CR functions on tube submanifolds
We show that a CR function of class , 0 ≤ k < ∞, on a tube submanifold of holomorphically extends to the convex hull of the submanifold. The extension and all its derivatives through order k are shown to have nontangential pointwise boundary values on the original tube submanifold. The -norm of the extension is shown to be no bigger than the -norm of the original CR function.
The homogeneous transfinite diameter of a compact subset of
Let K be a compact subset of . A sequence of nonnegative numbers defined by means of extremal points of K with respect to homogeneous polynomials is proved to be convergent. Its limit is called the homogeneous transfinite diameter of K. A few properties of this diameter are given and its value for some compact subsets of is computed.
The homology groups of the links of quasi-ordinary singularities.