Moduli of Curves

CIMAT Guanajuato, Mexico 2016

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

Buch | Softcover

IX, 242 Seiten

2017 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-59485-9 (ISBN)

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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).

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.

Erscheinungsdatum	26.10.2017
Reihe/Serie	Lecture Notes of the Unione Matematica Italiana
Zusatzinfo	IX, 242 p. 6 illus., 1 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	387 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	14D20,14D22,14H10,14E30,14N05,14F05,14T05 • Algebra • Algebraic Geometry • birational geometry • Bridgeland Stability • Category Theory, Homological Algebra • Curves • Geometry • Mathematical Foundations • Mathematics • mathematics and statistics • moduli spaces • Projective Geometry • Sygygies • tropical geometry • Varieties • Vector Bundles
ISBN-10	3-319-59485-0 / 3319594850
ISBN-13	978-3-319-59485-9 / 9783319594859
Zustand	Neuware