Published in Bollettino dell'Unione Matematica Italiana
Let (𝑋,∗,0) be a d-algebra and 𝛼,𝛽 are endomorphisms on X. Motivated by some results on derivations, (𝛼,𝛽)-derivation in rings, and the generalizations of BCK and BCI-algebras, in this paper, we introduce the notion of (𝛼,𝛽)-derivations on d-algebras, construct several examples and investigate some simple and important results.
Published in Bollettino dell'Unione Matematica Italiana
Published in Bollettino dell'Unione Matematica Italiana
Published in Bollettino dell'Unione Matematica Italiana
Published in Bollettino dell'Unione Matematica Italiana
This paper aims at giving a unified framework for a number of well-known extremal Kähler metrics with a big group of symmetries, with a special emphasis on the case of scalar-flat Kähler metrics, all stemming from the general construction of U(m)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackag...
Published in Bollettino dell'Unione Matematica Italiana
We will discuss some recent results on long-time behavior of Kähler–Ricci flow on compact Kähler manifolds with semi-positive canonical bundle. This is a very important part of the Analytic Minimal Model Program.
Published in Bollettino dell'Unione Matematica Italiana
Given a minimal Lagrangian submanifold L in a negative Kähler–Einstein manifold M, we show that any small Kähler–Einstein perturbation of M induces a deformation of L which is minimal Lagrangian with respect to the new structure. This provides a new source of examples of minimal Lagrangians. More generally, the same is true for the larger class of ...
Published in Bollettino dell'Unione Matematica Italiana
We introduce a family of spaces, parametrized by positive real numbers, that includes all of the Hirzebruch surfaces. Each space is viewed from two distinct perspectives. First, as a leaf space of a compact, complex, foliated manifold, following Battaglia and Zaffran (Int Math Res Not 22:11785–11815, 2015). Second, as a symplectic cut of the manifo...
Published in Bollettino dell'Unione Matematica Italiana
We describe some relations between coefficients of irreducible components of the first Chern class (Fujiki and Pontecorvo in J Geom Phys 91:117–130, 2015) and birational germs introduced by Dloussky (J Math Pures Appl 106:76–122, 2016) for intermediate Kato surfaces.
Published in Bollettino dell'Unione Matematica Italiana
We prove the equisingular rigidity of the singular Hirzebruch–Kummer coverings X(n, L\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {L}$$\end{document}) of th...
