Patrizio, Giorgio Spiro, Andrea
Published in
Mathematische Annalen

Regularity properties of intrinsic objects for a large class of Stein Manifolds, namely of Monge–Ampère exhaustions and Kobayashi distance, is interpreted in terms of modular data. The results lead to a construction of an infinite dimensional family of convex domains with squared Kobayashi distance of prescribed regularity properties. A new sharp r...

Wang, Haiyan Ren, Guangbin
Published in
Communications in Mathematics and Statistics

The octonions are distinguished in the M\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$M$$\end{document}-theory in which Universe is the usual Minkowski space R4\docum...

Popovici, Dan
Published in
Journal of Geometric Analysis

In our previous works on deformation limits of projective and Moishezon manifolds, we introduced and made crucial use of the notion of strongly Gauduchon metrics as a reinforcement of the earlier notion of Gauduchon metrics. Using direct and inverse images of closed positive currents of type (1,1) and regularization, we now show that compact comple...

Rodriguez, Olivier
Published in
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas

We study the one parameter family of genus 2 Riemann surfaces defined by the orbit of the L-shaped translation surface tiled by three squares under the Teichmüller geodesic flow. These surfaces are real algebraic curves with three real components. We are interested in describing these surfaces by their period matrices. We show that the only Riemann...

Liu, Run Wang, Wu-gang Yan, Shu-wang Wu, Xin-li
Published in
Applied Mathematics and Mechanics

In-service hydrocarbons must be transported at high temperature and high pressure to ease the flow and to prevent the solidification of the wax fraction. The high temperature and high pressure will induce the additional stress in the pipeline, which results in the upheaval buckling of the pipeline. If such expansion is resisted, e.g., by the fricti...

Angella, Daniele
Published in
Journal of Geometric Analysis

We prove that, for some classes of complex nilmanifolds, the Bott–Chern cohomology is completely determined by the Lie algebra associated with the nilmanifold with the induced complex structure. We use these tools to compute the Bott–Chern and Aeppli cohomologies of the Iwasawa manifold and of its small deformations, completing the computations by ...

Tsuboi, Shoji

Berndtsson, Bo
Published in
Mathematische Zeitschrift

This paper is a sequel to (Berndtsson in Ann Math 169:531–560, 2009). In that paper we studied the vector bundle associated to the direct image of the relative canonical bundle of a smooth Kähler morphism, twisted with a semipositive line bundle. We proved that the curvature of a such vector bundles is always semipositive (in the sense of Nakano). ...

MIYACHI, Hideki

Fujiki, Akira Pontecorvo, Massimiliano
Published in
Mathematische Annalen

In this note we show that in a certain subfamily of the Kuranishi family of any half Inoue surface the algebraic dimensions of the fibers jump downwards at special points of the parameter space showing that the upper semicontinuity of algebraic dimensions in any sense does not hold in general for families of compact non-Kähler manifolds. In the Käh...