Geometry over nonclosed fields

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

I discuss some arithmetic aspects of higher-dimensional algebraic geometry. I focus on varieties with many rational points and on connections with classification theory and the minimal model program.

Original languageEnglish (US)
Title of host publicationInternational Congress of Mathematicians, ICM 2006
Pages637-651
Number of pages15
Volume2
StatePublished - 2006
Event25th International Congress of Mathematicians, ICM 2006 - Madrid, Spain
Duration: Aug 22 2006Aug 30 2006

Other

Other25th International Congress of Mathematicians, ICM 2006
CountrySpain
CityMadrid
Period8/22/068/30/06

Fingerprint

Algebraic Geometry
Rational Points
Minimal Model
High-dimensional

Keywords

  • Heights
  • Rational and integral points
  • Rational connectedness
  • Rational curves

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Tschinkel, Y. (2006). Geometry over nonclosed fields. In International Congress of Mathematicians, ICM 2006 (Vol. 2, pp. 637-651)

Geometry over nonclosed fields. / Tschinkel, Yuri.

International Congress of Mathematicians, ICM 2006. Vol. 2 2006. p. 637-651.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Tschinkel, Y 2006, Geometry over nonclosed fields. in International Congress of Mathematicians, ICM 2006. vol. 2, pp. 637-651, 25th International Congress of Mathematicians, ICM 2006, Madrid, Spain, 8/22/06.
Tschinkel Y. Geometry over nonclosed fields. In International Congress of Mathematicians, ICM 2006. Vol. 2. 2006. p. 637-651
Tschinkel, Yuri. / Geometry over nonclosed fields. International Congress of Mathematicians, ICM 2006. Vol. 2 2006. pp. 637-651
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