Perfectly suited for young people who want to become acquainted with this important research field and open problems thereinContains a very timely exposition of the state of the art on the subject, with both an eye to classic and very recent developmentsExceptionally well written in a rigorous but also charming style

Inhalt
Foreword.- Melody Chan: Lectures on Tropical Curves and their Moduli Spaces.- Paolo Cascini.- Lecture notes for the CIMPA school.- Olivier Debarre: Higher-Dimensional Varieties.- Gavril Farkas: Progress on Syzygies of algebraic Curves.- Emanuele Macrí, Benjamin Schmidt: Lectures on Bridgeland Stability.- Edoardo Sernesi: Algebraic Curves and their Moduli.