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Geometry of Moduli

Abel Symposia 14

Erschienen am 24.11.2018, 1. Auflage 2018
213,99 €
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Bibliografische Daten
ISBN/EAN: 9783319948805
Sprache: Englisch
Umfang: ix, 326 S., 8 s/w Illustr., 5 farbige Illustr., 32
Einband: gebundenes Buch

Beschreibung

The proceedings from the Abel Symposium on Geometry of Moduli, held at Svinøya Rorbuer, Svolvær in Lofoten, in August 2017, present both survey and research articles on the recent surge of developments in understanding moduli problems in algebraic geometry. Written by many of the main contributors to this evolving subject, the book provides a comprehensive collection of new methods and the various directions in which moduli theory is advancing. These include the geometry of moduli spaces, non-reductive geometric invariant theory, birational geometry, enumerative geometry, hyperkähler geometry, syzygies of curves and Brill-Noether theory and stability conditions. Moduli theory is ubiquitous in algebraic geometry, and this is reflected in the list of moduli spaces addressed in this volume: sheaves on varieties, symmetric tensors, abelian differentials, (log) Calabi-Yau varieties, points on schemes, rational varieties, curves, abelian varieties and hyper-Kähler manifolds.