Birational Geometry, Rational Curves, and Arithmetic

Inbunden, Engelska, 2013

AvFedor Bogomolov,Brendan Hassett,Yuri Tschinkel

1 909 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

Topics that will be addressed include: birational properties such as rationality, unirationality, and rational connectedness, existence of rational curves in prescribed homology classes, cones of rational curves on rationally connected and Calabi-Yau varieties, as well as related questions within the framework of the Minimal Model Program.

Produktinformation

Utgivningsdatum2013-05-17
Mått155 x 235 x 21 mm
Vikt664 g
FormatInbunden
SpråkEngelska
SerieSimons Symposia
Antal sidor319
Upplaga2013
FörlagSpringer-Verlag New York Inc.
ISBN9781461464815

Tillhör följande kategorier

Matematik inom Naturvetenskap och teknik
Talteori inom Naturvetenskap och teknik

F. Bogomolov is Professor at the Courant Institute, NYU. He is best known for his pioneering work on hyperkähler manifolds. B. Hassett is Professor and Chair of the department of Mathematics at Rice University. He published two books and around 50 papers on Algebraic and Arithmetic Geometry. Yuri Tschinkel is Professor at the Courant Institute, NYU and Director of the Mathematics and the Physical Sciences Division at the Simons Foundation.

Foreword.- Introduction.- A. Bertram and I. Coskun, The birational geometry of the Hilbert scheme of points on surfaces.- F. Bogomolov and Ch. Böhning, Isoclinism and stable cohomology of wreath products.- F. Bogomolov, I. Karzhemanov, and K. Kuyumzhiyan, Unirationality and existence of infinitely transitive models.- I. Cheltsov, L. Katzarkov, and V. Przyjalkowski, Birational geometry via moduli spaces.- O. Debarre, Curves of low degrees on projective varieties.- S. Kebekus, Uniruledness criteria and applications.- S. Kovács, The cone of curves of K3 surfaces revisited.- V. Lazić, Around and beyond the canonical class.- C. Liedtke, Algebraic surfaces in positive characteristic.- A. Varilly-Alvarado, Arithmetic of Del Pezzo surfaces.