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Displaying 41 – 57 of 57

On the mapping problem for algebraic real hypersurfaces in the complex spaces of different dimensions

Xiaojun Huang (1994)

Annales de l'institut Fourier

In this paper, we show that if $M_{1}$ and $M_{2}$ are algebraic real hypersurfaces in (possibly different) complex spaces of dimension at least two and if $f$ is a holomorphic mapping defined near a neighborhood of $M_{1}$ so that $f (M_{1}) \subset M_{2}$ , then $f$ is also algebraic. Our proof is based on a careful analysis on the invariant varieties and reduces to the consideration of many cases. After a slight modification, the argument is also used to prove a reflection principle, which allows our main result to be stated for mappings...

On the Minimal Models of Complex Manifolds.

Akira Fujiki (1980)

Mathematische Annalen

On the mixed Hodge structure associated to $π_{3}$ of a simply connected complex projective manifold

J. Carlson, H. Clemens, J. Morgan (1981)

Annales scientifiques de l'École Normale Supérieure

On the non-existence of Kähler structures on certain closed and oriented differentiable 6-manifolds.

Alexander Schmitt (1996)

Journal für die reine und angewandte Mathematik

On the number of non-equivalent differentiable structures on 4-Manifolds.

Mario Salvetti (1989)

Manuscripta mathematica

On the order of the automorphism group of a surface of general type.

A.T. Huckleberry, M. Sauer (1990)

Mathematische Zeitschrift

On the Periods of Enriques Surfaces. II.

Eiji Horikawa (1978)

Mathematische Annalen

On the Picard number of a complex projective variety

Tetsuji Shioda (1981)

Annales scientifiques de l'École Normale Supérieure

On the rationality of the period mapping

Andrew John Sommese (1978)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On the Rigidity of Certain Discrete Groups and Algebraic Varieties.

J. Jost, S.T. Yau (1987)

Mathematische Annalen

On the Torelli problem for kählerian $K - 3$ surfaces

Dan Burns, Michael Rapoport (1975)

Annales scientifiques de l'École Normale Supérieure

On the Torelli problem of Abelian complex Lie groups.

Erich Selder (1988)

Mathematica Scandinavica

On the universal coverings of algebraic surfaces

L. Katzarkov, M. Ramachandran (1998)

Annales scientifiques de l'École Normale Supérieure

On the volume of a pseudo-effective class and semi-positive properties of the Harder-Narasimhan filtration on a compact Hermitian manifold

Zhiwei Wang (2016)

Annales Polonici Mathematici

This paper divides into two parts. Let (X,ω) be a compact Hermitian manifold. Firstly, if the Hermitian metric ω satisfies the assumption that $\partial \partial ̅ ω^{k} = 0$ for all k, we generalize the volume of the cohomology class in the Kähler setting to the Hermitian setting, and prove that the volume is always finite and the Grauert-Riemenschneider type criterion holds true, which is a partial answer to a conjecture posed by Boucksom. Secondly, we observe that if the anticanonical bundle $K_{X}^{- 1}$ is nef, then for any ε >...

One attempt to the $K 3$ modular function I

Hironori Shiga (1979)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Orbifolds, special varieties and classification theory

Frédéric Campana (2004)

Annales de l’institut Fourier

This article gives a description, by means of functorial intrinsic fibrations, of the geometric structure (and conjecturally also of the Kobayashi pseudometric, as well as of the arithmetic in the projective case) of compact Kähler manifolds. We first define special manifolds as being the compact Kähler manifolds with no meromorphic map onto an orbifold of general type, the orbifold structure on the base being given by the divisor of multiple fibres. We next show that rationally connected Kähler...

Orbifolds, special varieties and classification theory: an appendix

Frédéric Campana (2004)

Annales de l’institut Fourier

For any compact Kähler manifold $X$ and for any equivalence relation generated by a symmetric binary relation with compact analytic graph in $X \times X$ , the existence of a meromorphic quotient is known from Inv. Math. 63 (1981). We give here a simplified and detailed proof of the existence of such quotients, following the approach of that paper. These quotients are used in one of the two constructions of the core of $X$ given in the previous paper of this fascicule, as well as in many other questions.

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