Compactifying Moduli Spaces
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Beschreibung
This book focusses on a large class of objects in moduli theory and provides different perspectives from which compactifications of moduli spaces may be investigated.
Three contributions give an insight on particular aspects of moduli problems. In the first of them, various ways to construct and compactify moduli spaces are presented. In the second, some questions on the boundary of moduli spaces of surfaces are addressed. Finally, the theory of stable quotients is explained, which yields meaningful compactifications of moduli spaces of maps.
Both advanced graduate students and researchers in algebraic geometry will find this book a valuable read.This book focusses on a large class of objects in moduli theory and provides different perspectives from which compactifications of moduli spaces may be investigated.
Three contributions give an insight on particular aspects of moduli problems. In the first of them, various ways to construct and compactify moduli spaces are presented. In the second, some questions on the boundary of moduli spaces of surfaces are addressed. Finally, the theory of stable quotients is explained, which yields meaningful compactifications of moduli spaces of maps.
Both advanced graduate students and researchers in algebraic geometry will find this book a valuable read.Provides an overview of main techniques in compactifying moduli spaces Shows various approaches to find degenerations of family of smooth manifolds Develops various examples which help understanding the theory involved
Autor*in
Paul Hacking
Themen in »Compactifying Moduli Spaces«
Compactifications Cyclic Quotients Singularities Geometric Invariant Theory Moduli Spaces Stable Quotients