Moduli of Curves (eBook)

CIMAT Guanajuato, Mexico 2016

Leticia Brambila Paz, Ciro Ciliberto, Eduardo Esteves, Margarida Melo, Claire Voisin (Herausgeber)

eBook Download: PDF

2017 | 1st ed. 2017
IX, 242 Seiten
Springer International Publishing (Verlag)
978-3-319-59486-6 (ISBN)

Infos

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).

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.

Produkt-Details

• Erscheint lt. Verlag: 3.10.2017
• Reihe/Serie: Lecture Notes of the Unione Matematica Italiana
• Reihe/Serie: Lecture Notes of the Unione Matematica Italiana
• Zusatzinfo: IX, 242 p. 6 illus., 1 illus. in color.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: 14D20,14D22,14H10,14E30,14N05,14F05,14T05 • birational geometry • Bridgeland Stability • Curves • moduli spaces • Projective Geometry • Sygygies • tropical geometry • Varieties • Vector Bundles
• ISBN-10: 3-319-59486-9 / 3319594869
• ISBN-13: 978-3-319-59486-6 / 9783319594866