R-equivalence on low degree complete intersections

Research output: Contribution to journalArticle

Abstract

Let k be a function field in one variable over C or the field C((t)). Let X be a k-rationally simply connected variety defined over k. In this paper we show that R-equivalence on rational points of X is trivial and that the Chow group of zero-cycles of degree zero A 0(X) is zero. In particular, this holds for a smooth complete intersection of r hypersurfaces in P k n of respective degrees (equation required).

Original languageEnglish (US)
Pages (from-to)707-719
Number of pages13
JournalJournal of Algebraic Geometry
Volume21
Issue number4
DOIs
StatePublished - 2012

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Complete Intersection
Equivalence
Zero
Chow Groups
Rational Points
Function Fields
Hypersurface
Trivial
Cycle

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

Cite this

R-equivalence on low degree complete intersections. / Pirutka, Alena.

In: Journal of Algebraic Geometry, Vol. 21, No. 4, 2012, p. 707-719.

Research output: Contribution to journalArticle

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