Divisor class groups of graded hypersurfaces

TL;DR

This paper explores the computation of divisor class groups of graded hypersurfaces using classical methods and the theory of rational coefficient Weil divisors, building on Watanabe's results.

Contribution

It introduces a novel approach to calculating divisor class groups of graded hypersurfaces leveraging rational Weil divisors and existing theoretical frameworks.

Findings

Classical divisor class group computations can be achieved via rational Weil divisors.

The approach simplifies calculations for graded hypersurfaces.

Connections to Watanabe's results enhance understanding of divisor class groups.

Abstract

We demonstrate how some classical computations of divisor class groups can be obtained using the theory of rational coefficient Weil divisors and related results of Watanabe.