TL;DR
This paper introduces Mumford divisors as a natural class of divisors on reduced, non-normal varieties and establishes a structure theorem for their class group.
Contribution
It defines Mumford divisors and proves a structure theorem for the Mumford class group on non-normal varieties.
Findings
Mumford divisors are suitable for studying non-normal varieties
A structure theorem for the Mumford class group is established
The paper clarifies the role of Mumford divisors in algebraic geometry
Abstract
We define the notion of Mumford divisors, argue that they are the natural divisors to study on reduced but non-normal varieties and prove a structure theorem for the Mumford class group. v.2: references added
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Taxonomy
TopicsAlgebraic Geometry and Number Theory