Chow groups of weighted hypersurfaces

TL;DR

This paper extends known results about the algebraic cycles (Chow groups) of hypersurfaces from standard projective spaces to the more general setting of weighted projective spaces.

Contribution

It generalizes the existing theorem on Chow groups of hypersurfaces to include weighted projective spaces, broadening the scope of algebraic cycle analysis.

Findings

Chow groups of hypersurfaces in weighted projective spaces are characterized similarly to those in standard projective spaces.

The extension confirms the robustness of previous results in a more general geometric setting.

Provides new tools for studying algebraic cycles in weighted projective geometries.

Abstract

We extend a result of to Esnault-Levine-Viehweg concerning the Chow groups of hypersurfaces in projective space to those in weighted projective spaces.