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We prove the uniqueness of crepant resolutions for some quotient singularities and for some nilpotent orbits. The finiteness of non-isomorphic symplectic resolutions for 4- dimensional symplectic singularities is proved. We also give an example of a symplectic singularity which admits two non-equivalent symplectic resolutions.

Universell-endliche Erweiterungen analytischer Algebren.

D. Denneberg (1973)

Mathematische Annalen

Unramified Brauer group of the moduli spaces of PGLr(ℂ)-bundles over curves

Indranil Biswas, Amit Hogadi, Yogish Holla (2014)

Open Mathematics

Let X be an irreducible smooth complex projective curve of genus g, with g ≥ 2. Let N be a connected component of the moduli space of semistable principal PGLr (ℂ)-bundles over X; it is a normal unirational complex projective variety. We prove that the Brauer group of a desingularization of N is trivial.

Unramified cohomology of alternating groups

Fedor Bogomolov, Tihomir Petrov (2011)

Open Mathematics

We prove vanishing results for the unramified stable cohomology of alternating groups.

Unramified nonspecial real space curves having many real branches and few ovals.

Johannes Huisman (2002)

Revista Matemática Complutense

Let C ⊆ Pn be an unramified nonspecial real space curve having many real branches and few ovals. We show that C is a rational normal curve if n is even, and that C is an M-curve having no ovals if n is odd.

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