Geometric Invariant Theory based on Weil Divisors

Given an action of a reductive group on a normal variety, we construct all invariant open subsets admitting a good quotient with a quasiprojective or a divisorial quotient space. Our approach extends known constructions like Mumford's Geometric Invariant Theory. We obtain several new Hilbert-Mumford type theorems, and we extend a projectivity criterion of Bialynicki-Birula and Swiecicka for varieties with semisimple group action from the smooth to the singular case.Comment: Final version, to appear in Compositio Mat

c ○ Fachbereich Mathematik und Statistik

Decay estimates of solutions to wave equations in conical set

Frisch draufgeschaut

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Demokratie

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Jahresbericht / Universität Konstanz. 2014/2015

Enthält: Rechenschaftsbericht des Rektorspublishe