Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration

ISBN-13: 9783030678289 / Angielski / Miękka / 2021 / 127 str.

Alfonso Zamora Saiz; Ronald A. Zúñiga-Rojas

Recenzje

"The book is well written and introduces various explicit examples. It is very suitable for those who want to have a basic idea and global scope of this theory and apply the idea to study other classification problems in algebraic geometry." ( Pengfei Huang, Mathematical Reviews, September, 2022)

Spis treści

Preface.- Introduction.- Preliminaries.- Geometric Invariant Theory.- Moduli Space of Vector Bundles.- Unstability Correspondence.- Stratifications on the Moduli Space of Higgs Bundles.- References.- Index.

O autorze

Alfonso Zamora Saiz is a Professor at the School of Computer Science Engineering, Technical University of Madrid, Spain. Holding a PhD in algebraic geometry from the Complutense University of Madrid (2013), he has been a visiting PhD student at Cambridge University and Columbia University, a postdoc at the IST in Lisbon, Lecturer at the California State University Channel Islands and a Professor at the CEU San Pablo University in Madrid. His research interests include algebra, geometry and topology in pure mathematics, as well as data analytical applications and mathematics education.

Ronald A. Zúñiga-Rojas is a Professor at the School of Mathematics, University of Costa Rica (UCR), and is currently a member of both Center of Mathematical and Meta-Mathematical Research (CIMM-UCR) and the Center of Pure and Applied Mathematics Research (CIMPA-UCR). He completed the Doctor’s Degree in Mathematics at University of Porto, Portugal, in 2015, in a PhD Program in association with the University of Coimbra in Portugal. His research interests lay on pure mathematics, focused on algebraic geometry, algebraic topology, and differential geometry.