Compactifying Moduli Spaces (advanced Courses In Mathematics - Crm Barcelona)
by Radu Laza /
2016 / English / PDF
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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.
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.
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.
Both advanced graduate students and researchers in algebraic
geometry will find this book a valuable read.
