Tohoku Mathematical Journal
2020
September
SECOND SERIES VOL. 72, NO. 3

Tohoku Math. J.
72 (2020), 395-410

Title ON INFINITENESS OF INTEGRAL OVERCONVERGENT DE RHAM--WITT COHOMOLOGY MODULO TORSION

Author Veronika Ertl and Atsushi Shiho

(Received December 12, 2018, revised April 15, 2019)
Abstract. In this article, we give examples of smooth varieties of positive characteristic whose first integral overconvergent de Rham--Witt cohomology modulo torsion is not finitely generated over the Witt ring of the base field.

Mathematics Subject Classification. Primary 14F30; Secondary 14F40, 14H50.
Key words and phrases. Infiniteness, overconvergent de Rham--Witt cohomology, $C_{ab}$-curves.

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