The journal Rendiconti dell’Istituto di Matematica dell’università di Trieste publishes original articles in all areas of mathematics. Special regard is given to research papers, but attractive expository papers may also be considered for publication.
The journal usually appears in one issue per year. Additional issues may however be published. In particular, the Managing Editors may consider the publication of supplementary volumes related to some special events, like conferences, workshops, and advanced schools.
All submitted papers will be refereed. Manuscripts are accepted for review with the understanding that the work has not been published before and is not under consideration for publication elsewhere.
Our journal can be obtained by exchange agreements with other similar journals.
Instructions for Authors
Authors are invited to submit their papers by e-mail directly to one of the Managing Editors in PDF format.
All the correspondence regarding the submission and the editorial process of the paper are done by e-mail. Papers have to be written in one of the following languages: English, French, German, or Italian. Abstracts should not exceed ten printed lines, except for papers written in French, German, or Italian,
for which an extended English summary is required.
After acceptance, manuscripts have to be prepared in LaTeX using the style rendiconti.cls which can be downloaded from the web page.
Any figure should be recorded in a single PDF, PS (PostScript), or EPS (Encapsulated PostScript) file.
Browsing Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.40 (2008) by Issue Date
The Banach-Steinhaus theorem, also known as
Uniform Boundedness Principle, has a standard proof a little bit too long. In this article we will give a real short proof using the nonstandard analysis technique.
Unirationality and rationality problems are, in
the field of Algebraic Geometry, among the most significant topics of the scientific legacy of Ugo Morin. The paper compares the present state of the art, and its historical evolution, with Morin’s achievements and his brilliant ideas. A special attention to open problems and the newer notion of rational connectivity is payed.
Here we classify all totally arithmetically Cohen-
Macaulay rank 2 vector bundles on an abelian surface X such
that $Num(X) \cong \mathbb Z$. They are the extensions of two numerically trivial, but not trivial, line bundles.
We give an explicit lower bound for almost psh
functions on some Fano manifolds. These manifolds generalize those introduced by Calabi in , and also provide a generalization of the concept of the blowing-up of $\mathbb P_m\mathbb C$ at one point. To this end, we use a method introduced in , which consists of studying the behavior of psh functions along some well-chosen holomorphic curves.
This article presents the further steps of the
previously done studies taking into consideration the k-th order extensions of a complex manifold. In the previous studies higher order vertical and complete lifts of structures on the complex manifold were introduced. Presently, k-th extended spaces of a product manifold have been set and the higher order vertical, complete, complete- vertical and horizontal lifts of geometric structures on the product manifold have been presented.
We tackle the following problem: can one replace
a real matrix by a stochastic matrix without altering the order relations between entries? We state a general criterion and a convenient necessary condition. The motivation for this work resides in applications to DNA word design.
We prove that the only domain $\Omega$ such that there exists a solution to the following overdetermined problem $\Deltau+\omega2u=−1$ in in $\Omega$, u = 0 on $\partial\Omega$, and $\partialnu = c$ on $\partial\Omega$, is the ball B1, independently on the sign of u, if we assume that the boundary $\partial\Omega$ is a perturbation (no necessarily regular) of the unit sphere $\partialB1$ of Rn. Here $\omega2 \neq (\lambdan)n\geq1$ (the eigenvalues of $−\Delta$ in B1 with Dirichlet boundary conditions), and $\omega \Lambda$, where $\Lambda$ is a enumerable set of R+, whose limit points are the values $\lambda1m$, for some integer $m\geq1$, $\lambda1m$ being the mth-zero of the first-order Bessel function I1.
We consider the equation system of motion of
a gas with adiabatic transformation, for which we define the functional for the potential energy due to gravitation and pression, and we prove that the distribution of density and temperature of the rest state minimizes this functional. The technical difficulty for this proof resides in the fact that the class of admissible functions for this functional is not convex.
Let d be a square-free positive integer, $K = mathbb Q(\surdd, \surd −1)$ and C2 the 2-part of class group of K. Our goal is to determine all d such that $C2 \simeq Z/2Z \times Z/4Z$ or $C2 \simeq Z/2Z \times Z/2Z \times Z/2Z$.
In this paper we give a new and constructive proof of exponents in R of elements in a uniformly complete $\Phi-algebra$. As an application we establish the Young’s inequality and we give a short proof of the Hölder’s inequality on uniformly complete $\Phi-algebras$.