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Fano quiver moduli

Published online by Cambridge University Press:  28 December 2020

Hans Franzen
Affiliation:
Faculty of Mathematics, Ruhr-University Bochum, Universitätsstrasse 150, 44780Bochum, Germanye-mail:hans.franzen@rub.de
Markus Reineke*
Affiliation:
Faculty of Mathematics, Ruhr-University Bochum, Universitätsstrasse 150, 44780Bochum, Germanye-mail:hans.franzen@rub.de
Silvia Sabatini
Affiliation:
Mathematical Institute, University of Cologne, Weyertal 86-90, 50931Cologne, Germanye-mail:sabatini@math.uni-koeln.de

Abstract

We exhibit a large class of quiver moduli spaces, which are Fano varieties, by studying line bundles on quiver moduli and their global sections in general, and work out several classes of examples, comprising moduli spaces of point configurations, Kronecker moduli, and toric quiver moduli.

Type
Article
Copyright
© Canadian Mathematical Bulletin 2020

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Footnotes

The authors are supported by the DFG SFB/Transregio 191 “Symplektische Strukturen in Geometrie, Algebra, und Dynamik.” The second-named author is supported by the DFG GRK 2240 “Algebro-Geometrische Methoden in Algebra, Arithmetik, und Topologie.”

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