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On the Steinness of strongly convex Kahler Finsler manifolds

期刊: MATHEMATISCHE ZEITSCHRIFT, ; ()

In this paper, we study Steinness of nonpositively or nonnegatively curved strongly convex Kahler Finsler manifolds. In particular, we prove that ever......

Fibres non reduites d'un schema arithmetique

期刊: MATHEMATISCHE ZEITSCHRIFT, ; ()

(Non-reduced fibers of an arithmetic scheme) For a reduced projective scheme over the ring of integers of a number field, the set of places over which......

L-2 boundedness of Hilbert transforms along variable flat curves

期刊: MATHEMATISCHE ZEITSCHRIFT, ; ()

In this paper, the L-2 boundedness of the Hilbert transform along variable flat curve (t, P(x(1))gamma(t)) H-P,H-gamma f (x(1), x(2)) := p. v. integra......

Brauer class over the Picard scheme of totally degenerate stable curves

期刊: MATHEMATISCHE ZEITSCHRIFT, ; ()

We study the Brauer class rising from the obstruction to the existence of tautological line bundles on the Picard scheme of curves. We determine the p......

Inequality conjectures on derivations of local k-th Hessain algebras associated to isolated hypersurface singularities

期刊: MATHEMATISCHE ZEITSCHRIFT, ; ()

Let (V, 0) be an isolated hypersurface singularity. We introduce a series of new derivation Lie algebras L-k(V) associated to (V, 0). Its dimension is......

Exponential sums over cubes of primes in short intervals and its applications

期刊: MATHEMATISCHE ZEITSCHRIFT, ; ()

In this paper, we treat the estimate on exponential sums over cubes of primes in short intervals, and improve a previous bound of Kumchev (in: Number ......

Sturm theory with applications in geometry and classical mechanics

期刊: MATHEMATISCHE ZEITSCHRIFT, ; ()

Classical Sturm non-oscillation and comparison theorems as well as the Sturm theorem on zeros for solutions of second order differential equations hav......

On the ultradifferentiable normalization

期刊: MATHEMATISCHE ZEITSCHRIFT, ; ()

We show the theory of the formal ultradifferentiable normalization. The tools utilized here are KAM methods and Contraction Mapping Principle in the B......

First moment of Hecke L-functions with quartic characters at the central point

期刊: MATHEMATISCHE ZEITSCHRIFT, 2020; 294 (3-4)

In this paper, we study the first moment of central values of Hecke L-functions associated with quartic characters.

Area and Hausdorff dimension of Sierpiski carpet Julia sets

期刊: MATHEMATISCHE ZEITSCHRIFT, 2020; 294 (3-4)

We prove the existence of rational maps whose Julia sets are Sierpiski carpets having positive area. Such rational maps can be constructed such that t......

Weighted approximation in C

期刊: MATHEMATISCHE ZEITSCHRIFT, 2020; 294 (3-4)

We prove that if {phi j}j is a sequence of subharmonic functions which are increasing to some subharmonic function phi in C, then the union of all the......

All finitely generated Kleinian groups of small Hausdorff dimension are classical Schottky groups

期刊: MATHEMATISCHE ZEITSCHRIFT, 2020; 294 (3-4)

This is the second part of our works on the Hausdorff dimension of Schottky groups (Hou in Geom Topol 14:473-519, 2010). In this paper we prove that t......

Comparison and Wu's theorems in Finsler geometry

期刊: MATHEMATISCHE ZEITSCHRIFT, 2020; 295 (1-2)

In this paper, we first give several comparison theorems and their applications in Finsler geometry. Moreover, by means of the Hessian comparison theo......

Scalar curvature, Kodaira dimension and genus

期刊: MATHEMATISCHE ZEITSCHRIFT, 2020; 295 (1-2)

Let (X, g) be a compact Riemannian manifold with quasi-positive Riemannian scalar curvature. If there exists a complex structure J compatible with g, ......

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