Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Image from Google Jackets

Geometry Over Nonclosed Fields [electronic resource] / edited by Fedor Bogomolov, Brendan Hassett, Yuri Tschinkel.

Contributor(s): Material type: TextTextSeries: Simons SymposiaPublisher: Cham : Springer International Publishing : Imprint: Springer, 2017Description: IX, 261 p. 3 illus., 1 illus. in color. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783319497631
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 516.35 23
LOC classification:
  • QA564-609
Online resources:
Contents:
Preface -- "On the Kobayashi pseudometric, complex automorphisms and hyperahler manifolds" by Fedor Bogomolov, Ljudmila Kamenova, Steven Lu, and Misha Verbitsky -- "Lines on cubic hypersurfaces over finite fields" by Olivier Debarre, Antonio Laface, and Xavier Roulleau -- "Perverse sheaves of categories and non-rationality" by Andrew Harder, Ludmil Katzarkov, and Yijia Liu -- "Divisor classes and the virtual canonical bundle for genus zero maps" by A. J. de Jong and Jason Starr -- "A stronger derived Torelli theorem for K3 surfaces" by Max Lieblich and Martin Olsson -- "Morphisms to Brauer-Severi varieties, with applications to del Pezzo surfaces" by Christian Liedtke -- "Arithmetic of K3 surfaces" by Anthony Varilly-Alvarado -- "One-dimensional cohomology with finite coefficients and roots of unity" by Yuri G. Zarhin.
In: Springer eBooksSummary: Based on the Simons Symposia held in 2015, the proceedings in this volume focus on rational curves on higher-dimensional algebraic varieties and applications of the theory of curves to arithmetic problems. There has been significant progress in this field with major new results, which have given new impetus to the study of rational curves and spaces of rational curves on K3 surfaces and their higher-dimensional generalizations. One main recent insight the book covers is the idea that the geometry of rational curves is tightly coupled to properties of derived categories of sheaves on K3 surfaces. The implementation of this idea led to proofs of long-standing conjectures concerning birational properties of holomorphic symplectic varieties, which in turn should yield new theorems in arithmetic. This proceedings volume covers these new insights in detail. .
Tags from this library: No tags from this library for this title. Log in to add tags.
No physical items for this record

Preface -- "On the Kobayashi pseudometric, complex automorphisms and hyperahler manifolds" by Fedor Bogomolov, Ljudmila Kamenova, Steven Lu, and Misha Verbitsky -- "Lines on cubic hypersurfaces over finite fields" by Olivier Debarre, Antonio Laface, and Xavier Roulleau -- "Perverse sheaves of categories and non-rationality" by Andrew Harder, Ludmil Katzarkov, and Yijia Liu -- "Divisor classes and the virtual canonical bundle for genus zero maps" by A. J. de Jong and Jason Starr -- "A stronger derived Torelli theorem for K3 surfaces" by Max Lieblich and Martin Olsson -- "Morphisms to Brauer-Severi varieties, with applications to del Pezzo surfaces" by Christian Liedtke -- "Arithmetic of K3 surfaces" by Anthony Varilly-Alvarado -- "One-dimensional cohomology with finite coefficients and roots of unity" by Yuri G. Zarhin.

Based on the Simons Symposia held in 2015, the proceedings in this volume focus on rational curves on higher-dimensional algebraic varieties and applications of the theory of curves to arithmetic problems. There has been significant progress in this field with major new results, which have given new impetus to the study of rational curves and spaces of rational curves on K3 surfaces and their higher-dimensional generalizations. One main recent insight the book covers is the idea that the geometry of rational curves is tightly coupled to properties of derived categories of sheaves on K3 surfaces. The implementation of this idea led to proofs of long-standing conjectures concerning birational properties of holomorphic symplectic varieties, which in turn should yield new theorems in arithmetic. This proceedings volume covers these new insights in detail. .

There are no comments on this title.

to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in