On the Chow groups of Pl\"ucker hypersurfaces in Grassmannians

TL;DR

This paper explores the Chow groups of Plücker hypersurfaces in Grassmannians, proposing a conjecture inspired by the Bloch conjecture and proving partial results towards it.

Contribution

It introduces a new conjecture on Chow groups of Plücker hypersurfaces and establishes weak versions of this conjecture.

Findings

Formulated a conjecture related to Chow groups of Plücker hypersurfaces.

Proved partial or weak versions of the conjecture.

Abstract

Motivated by the generalized Bloch conjecture, we formulate a conjecture about the Chow groups of Pl\"ucker hypersurfaces in Grassmannians. We prove weak versions of this conjecture.