Titlebook: Compactifying Moduli Spaces; Paul Hacking,Radu Laza,Dragos Oprea,Gilberto Bini, Book 2016 Springer Basel 2016 Compactifications.Cyclic Quo

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Perspectives on the Construction and Compactification of Moduli Spaces,d unexpected directions in algebraic geometry. The purpose of these notes is to review three standard approaches to constructing and compactifying moduli spaces: GIT, Hodge theory, and MMP, and to discuss various connections between them.

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2297-0304 duli 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.978-3-0348-0920-7978-3-0348-0921-4Series ISSN 2297-0304 Series E-ISSN 2297-0312

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Soziale Medien und die Streitkr?fte classification of stable vector bundles on the smooth surface in the case .. In particular, we connect with the theory of exceptional collections of vector bundles used in the study of the derived category of coherent sheaves.

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2297-0304 nifolds.Develops various examples which help understanding t.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 pro

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Perspectives on the Construction and Compactification of Moduli Spaces,y – the construction and compactification of the moduli spaces of curves . and principally polarized abelian varieties (ppavs) . – are models that we try to emulate. While very few other examples are so well understood, the tools developed to study other moduli spaces have led to new developments an

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Compact Moduli Spaces of Surfaces and Exceptional Vector Bundles,igne–Mumford compactification of the moduli space of curves [5]. However, very little is known about this moduli space or its compactification in general (for example it can have many irreducible components [3] and be highly singular [29]). A key question is to enumerate the boundary divisors in cas

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Notes on the Moduli Space of Stable Quotients,c compactifications via Quot scheme-type constructions. An underlying theme is the geometric description of such compactifications, as well as the comparison of the intersection theoretic invariants arising from them.