Compactifications of the moduli spaces of Newton maps
Hongming Nie
TL;DR
This paper investigates different ways to compactify the moduli space of Newton maps, focusing on GIT and Deligne-Mumford approaches, and explores how these compactifications relate to each other.
Contribution
It provides a comparative analysis of GIT and Deligne-Mumford compactifications of Newton map moduli spaces and examines their interrelations.
Findings
GIT compactification of Newton maps moduli space analyzed
Deligne-Mumford compactification studied in this context
Relations between different compactifications established
Abstract
We study various compactifications of moduli space of Newton maps. Mainly, we focus on GIT compactifiaction and Deligne-Mumford compactification. Then we explore the relations among these compactifications.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Mathematical Dynamics and Fractals · Homotopy and Cohomology in Algebraic Topology