Moduli Spaces of Morphisms Into Solvable Algebraic Groups

TL;DR

This paper develops a general framework for constructing moduli spaces that parametrize morphisms from schemes into solvable algebraic groups, advancing the understanding of their geometric and algebraic structure.

Contribution

It introduces a broad method for building moduli spaces of morphisms into solvable algebraic groups, extending previous work in algebraic geometry.

Findings

Constructed moduli spaces for morphisms into solvable algebraic groups

Provided a general approach applicable to various schemes and groups

Enhanced the understanding of the structure of such morphisms

Abstract

We construct (in significant generality) moduli spaces representing the functor of morphisms from a scheme into a solvable algebraic group.