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- W2183694252 abstract "As shown by Kollár and Shepherd-Barron [17] the moduli space of surfaces of general type has a natural compactification, which is analogous to the Deligne–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 cases where the moduli space is well behaved. The most basic boundary divisors are those given by degenerations of the smooth surface to a surface with a cyclic quotient singularity of a special type, first studied by J. Wahl [30]. We describe a construction which relates these boundary divisors to the classification of stable vector bundles on the smooth surface in the case $$ H^{2,,0} = H^1 = 0 $$ . In particular, we connect with the theory of exceptional collections of vector bundles used in the study of the derived category of coherent sheaves." @default.
- W2183694252 created "2016-06-24" @default.
- W2183694252 creator A5053455348 @default.
- W2183694252 date "2016-01-01" @default.
- W2183694252 modified "2023-10-03" @default.
- W2183694252 title "Compact Moduli Spaces of Surfaces and Exceptional Vector Bundles" @default.
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- W2183694252 doi "https://doi.org/10.1007/978-3-0348-0921-4_2" @default.
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