Torsion orders of complete intersections

DOI10.2140/ANT.2017.11.1779zbMATH Open1453.14024arXiv1605.01913OpenAlexW2346007652MaRDI QIDQ1677803

Author name not available (Why is that?)

Publication date: 13 November 2017

Published in: (Search for Journal in Brave)

Abstract: By a classical result of Roitman, a complete intersection $X$ of sufficiently small degree admits a rational decomposition of the diagonal. This means that some multiple of the diagonal by a positive integer $N$, when viewed as a cycle in the Chow group, has support in $XimesDcupFimesX$, for some divisor $D$ and a finite set of closed points $F$. The minimal such $N$ is called the torsion order. We study lower bounds for the torsion order following the specialization method of Voisin, Colliot-Th'el`ene and Pirutka. We give a lower bound for the generic complete intersection with and without point. Moreover, we use methods of Koll'ar and Totaro to show lower bounds for the very general complete intersection.

Full work available at URL: https://arxiv.org/abs/1605.01913

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: Torsion orders of complete intersections

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q1677803)