Roberto AlbesianoUniversity of Waterloo | UWaterloo · Department of Pure Mathematics
Roberto Albesiano
Doctor of Philosophy
About
4
Publications
250
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Introduction
I am mainly interested in Complex Geometry and Several Complex Variables, with a particular interest in questions coming from Algebraic Geometry.
Education
August 2018 - May 2023
October 2016 - July 2018
October 2013 - December 2019
Field of study
- Galilean School of Higher Education (SGSS) - Class of Natural Sciences
Publications
Publications (4)
We prove a Skoda-type division theorem via a degeneration argument. The proof is inspired by B. Berndtsson and L. Lempert’s approach to the L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69...
We prove a Skoda-type division theorem via a deformation argument. The proof is inspired by Berndtsson and Lempert's approach to the $L^2$ extension theorem and is based on positivity of direct image bundles.
We prove the existence of a family of non-trivial solutions of the Liouville equation in dimensions two and four with infinite volume. These solutions are perturbations of a finite-volume solution of the same equation in one dimension less. In particular, they are periodic in one variable and decay linearly to −∞ in the other variables. In dimensio...
We prove the existence of a family of non-trivial solutions of the Liouville equation in dimensions two and four with infinite volume. These solutions are perturbations of a finite-volume solution of the same equation in one dimension less. In particular, they are periodic in one variable and decay linearly to $-\infty$ in the other variables. In d...
