Zero-cycles in families of rationally connected varieties

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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  • Morten Lüders

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OriginalspracheEnglisch
Aufsatznummer68
FachzeitschriftSelecta Mathematica, New Series
Jahrgang30
Ausgabenummer4
PublikationsstatusVeröffentlicht - 9 Juli 2024

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.
in: Selecta Mathematica, New Series, Jahrgang 30, Nr. 4, 68, 09.07.2024.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Lüders M. Zero-cycles in families of rationally connected varieties. Selecta Mathematica, New Series. 2024 Jul 9;30(4):68. doi: 10.1007/s00029-024-00963-1, 10.48550/arXiv.2211.04300
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