Correspondence scrolls

TL;DR

This paper introduces the concept of correspondence scrolls, a class of schemes encompassing various geometric objects like rational normal scrolls, projective bundles, and complex surfaces such as K3 and Calabi-Yau varieties.

Contribution

It initiates the study of correspondence scrolls, unifying diverse geometric objects under a common framework and exploring their properties.

Findings

Includes rational normal scrolls and projective bundles

Encompasses degenerate K3 surfaces and Calabi-Yau 3-folds

Provides a new perspective on these schemes' structure

Abstract

This paper initiates the study of a class of schemes that we call correspondence scrolls, which includes the rational normal scrolls and linearly embedded projective bundle of decomposable bundles, as well as degenerate K3 surfaces, Calabi-Yau 3-folds, and many other examples.