Roberto Albesiano

Roberto Albesiano
Stony Brook University | Stony Brook · Department of Mathematics

PhD student, Stony Brook University

About

3
Publications
181
Reads
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3
Citations
Citations since 2017
3 Research Items
3 Citations
20172018201920202021202220230.00.20.40.60.81.0
20172018201920202021202220230.00.20.40.60.81.0
20172018201920202021202220230.00.20.40.60.81.0
20172018201920202021202220230.00.20.40.60.81.0
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
Stony Brook University
Field of study
  • Mathematics
October 2016 - July 2018
University of Padova
Field of study
  • Mathematics
October 2013 - December 2019
University of Padova
Field of study
  • Galilean School of Higher Education (SGSS) - Class of Natural Sciences

Publications

Publications (3)
Preprint
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.
Article
Full-text available
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...
Preprint
Full-text available
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...