Algebraic and analytic compactifications of moduli spaces
Patricio Gallardo, Matt Kerr
TL;DR
This paper provides an overview of how Hodge-theoretic and geometric methods are used to compactify moduli spaces of algebraic varieties, highlighting their relationship and differences.
Contribution
It offers a comprehensive exposition connecting algebraic and analytic approaches to compactifying moduli spaces, clarifying their interplay.
Findings
Hodge-theoretic compactifications relate closely to geometric ones.
Analytic and algebraic methods provide complementary insights.
The overview clarifies the relationship between different compactification techniques.
Abstract
In this expository note, we offer an overview of the relationship between Hodge-theoretic and geometric compactifications of moduli spaces of algebraic varieties.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology