Moduli of Curves - CIMAT Guanajuato, Mexico 2016

Providing a timely description of the present state of the art of moduli spaces of curves and their geometry, this volume is written in a way which will make it extremely useful both for young people who want to approach this important field, and also for established researchers, who will find references, problems, original expositions, new viewpoints, etc. The book collects the lecture notes of a number of leading algebraic geometers and in particular specialists in the field of moduli spaces of curves and their geometry. This is an important subject in algebraic geometry and complex analysis which has seen spectacular developments in recent decades, with important applications to other parts of mathematics such as birational geometry and enumerative geometry, and to other sciences, including physics. The themes treated are classical but with a constant look to modern developments (see Cascini, Debarre, Farkas, and Sernesi's contributions), and include very new material, such as Bridgeland stability (see Macri's lecture notes) and tropical geometry (see Chan's lecture notes).

List of contents

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.

Summary

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

Product details

• Assisted by: Leticia Brambila Paz (Editor), Cir Ciliberto (Editor), Ciro Ciliberto (Editor), Eduardo Esteves (Editor), Eduardo Esteves et al (Editor), Margarida Melo (Editor), Claire Voisin (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 30.09.2017
• EAN: 9783319594859
• ISBN: 978-3-31-959485-9
• No. of pages: 242
• Dimensions: 156 mm x 10 mm x 238 mm
• Weight: 404 g
• Illustrations: IX, 242 p. 6 illus., 1 illus. in color.
• Series: Lecture Notes of the Unione Matematica Italiana; Lecture Notes of the Unione Matematica Italiana
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; Algebra, Geometrie, B, geometry, Mathematics and Statistics, Algebraic Geometry, Mathematical foundations, Projective Geometry, Category theory (Mathematics), Category Theory, Homological Algebra, Homological algebra