img Leseprobe Leseprobe

Compactifying Moduli Spaces

Paul Hacking, Radu Laza, Dragos Oprea, et al.

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Springer Basel img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Arithmetik, Algebra

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.

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Schlagwörter

Geometric Invariant Theory, Cyclic Quotients Singularities, Stable Quotients, Compactifications, Moduli Spaces