rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Geometry Over Nonclosed Fields
  name:
    name part: Bogomolov, Fedor.
    role:
      role term: editor.
  name:
    name part: Hassett, Brendan.
    role:
      role term: editor.
  name:
    name part: Tschinkel, Yuri.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2017
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: IX, 261 p. 3 illus., 1 illus. in color. online resource.
  abstract: 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. .
  table of 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.
  note: edited by Fedor Bogomolov, Brendan Hassett, Yuri Tschinkel.
  subject:
    topic: Mathematics
  subject:
    topic: Algebraic geometry
  subject:
    topic: Mathematics
  subject:
    topic: Algebraic Geometry
  classification: QA564-609
  classification: 516.35
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Simons Symposia
  identifier: 9783319497631
  identifier: http://dx.doi.org/10.1007/978-3-319-49763-1
  record info:
    record creation date: 170209
    record change date: 20170209072543.0
    record identifier: 978-3-319-49763-1