Moduli space of generalized instanton bundles

• Grant number: 13/10063-0
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: October 10, 2013
• End date: February 09, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Marcos Benevenuto Jardim
• Grantee: Simone Marchesi
• Supervisor: Rosa M. Miró-Roig
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Institution abroad: Universitat de Barcelona (UB), Spain
• Associated to the scholarship: 12/07481-1 - Steiner and instanton bundles on projective varieties, BP.PD

Abstract

We will introduce the notion of generalized instanton bundle and study its properties. In particular, we will focus on the study of the moduli space of stable vector bundle of rank 2 over the three dimensional projective space. The goals of our work will be:-determine how many irreducible components such moduli space has;-determine its dimension. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

COSTA, LAURA; MARCHESI, SIMONE; MARIA MIRO-ROIG, ROSA. Tango bundles on Grassmannians. Mathematische Nachrichten, v. 289, n. 8-9, p. 950-961, JUN 2016. (13/10063-0)