Zero-cycles in families of rationally connected varieties

Publikation: Arbeitspapier/Preprint › Preprint

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  • Morten Lüders

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Originalspracheundefiniert/unbekannt
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 8 Nov. 2022

Abstract

We study zero-cycles in families of rationally connected varieties. We show that for a smooth projective scheme over a henselian discrete valuation ring the restriction of relative zero cycles to the special fiber induces an isomorphism on Chow groups if the special fiber is separably rationally connected. We further extend this result to certain higher Chow groups and develop conjectures in the non-smooth case. Our main results generalise a result of Koll\'ar [28].

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Zero-cycles in families of rationally connected varieties. / Lüders, Morten.
2022.

Publikation: Arbeitspapier/Preprint › Preprint

Lüders, M. (2022). Zero-cycles in families of rationally connected varieties. Vorabveröffentlichung online.
Lüders M. Zero-cycles in families of rationally connected varieties. 2022 Nov 8. Epub 2022 Nov 8.
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