Roberto AlbesianoStony Brook University | Stony Brook · Department of Mathematics
Roberto Albesiano
PhD student, Stony Brook University
About
3
Publications
181
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3
Citations
Citations since 2017
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 (3)
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...
