Delta-invariant Theory for Hecke Correspondences

Alexandru Buium is a distinguished professor emeritus at the University of New Mexico (UNM Albuquerque, USA). Previously, he was a professor at UNM and at the University of Illinois (Urbana-Champaign). He has held visiting positions at Columbia University, the University of Paris (Orsay), the IAS (Princeton), the MPI (Bonn), and the IHES (Bures sur Yvette). He is a former Humboldt fellow and an AMS fellow. He has published 91 research papers, 6 research monographs, and 1 textbook. His fields of research are algebraic geometry and number theory. Adrian Vasiu is a professor at SUNY Binghamton (Binghamton, USA). He was awarded the SUNY Chancellor’s Award for Excellence in Scholarship and Creative Activities. He was a member of the IAS (Princeton) and a visiting scientist at MPI (Bonn), at the IHES (Bures sur Yvette), at the Tata Institute of Fundamental Research (Mumbai), at the Indian Institute of Science Education and Research (Thiruvananthapuram), and at the Institute for Mathematical Research (Zürich). He has published 38 research papers, 1 research monograph and 2 Oberwolfach Reports. His field of research is arithmetic algebraic geometry.

• Chapter 1. Introduction.- Chapter 2. Main concepts and results.- Chapter 3. Proofs of the main results.- Chapter 4. Background and required results in GIT.