Moduli of Curves

CIMAT Guanajuato, Mexico 2016

  • Leticia Brambila Paz
  • Ciro Ciliberto
  • Eduardo Esteves
  • Margarida Melo
  • Claire Voisin

Part of the Lecture Notes of the Unione Matematica Italiana book series (UMILN, volume 21)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Olivier Debarre
    Pages 49-106
  3. Gavril Farkas
    Pages 107-138
  4. Emanuele Macrì, Benjamin Schmidt
    Pages 139-211
  5. E. Sernesi
    Pages 213-239
  6. Back Matter
    Pages 241-242

About this book


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).


14D20,14D22,14H10,14E30,14N05,14F05,14T05 Curves Moduli spaces Birational Geometry Projective Geometry Varieties Tropical geometry Sygygies Vector Bundles Bridgeland Stability

Editors and affiliations

  • Leticia Brambila Paz
    • 1
  • Ciro Ciliberto
    • 2
  • Eduardo Esteves
    • 3
  • Margarida Melo
    • 4
  • Claire Voisin
    • 5
  1. 1.CIMATGuanajuatoMexico
  2. 2.Dipartimento di MatematicaUniversità di Roma Tor VergataRomaItaly
  3. 3.Instituto Nacional de Matemática PuraRio de JaneiroBrazil
  4. 4.Dipartimento di MatematicaUniversità di Roma TreRomaItaly
  5. 5.Collège de FranceParisFrance

Bibliographic information