Abstract
AbstractWe give a complete classification of the torus-equivariant birational equivalence classes of smooth proper toric Deligne–Mumford stacks with trivial generic stabilizer in terms of their associated stacky fans.
Funder
Swiss Federal Institute of Technology Zurich
Publisher
Springer Science and Business Media LLC
Reference10 articles.
1. Borisov, L.A., Chen, L., Smith, G.G.: The orbifold Chow ring of toric Deligne-Mumford stacks. J. Amer. Math. Soc. 18(1), 193–215 (2005)
2. Danilov, V.I.: The geometry of toric varieties. Uspekhi Mat. Nauk 33(2), 85–134 (1978) (in Russian)
3. De Concini, C., Procesi, C.: Complete symmetric varieties. II. Intersection theory. In: Hotta, R. (ed.) Algebraic Groups and Related Topics. Advanced Studies in Pure Mathematics, vol. 6, pp. 481–513. North-Holland, Amsterdam (1985)
4. Edidin, D., More, Y.: Partial desingularizations of good moduli spaces of Artin toric stacks. Michigan Math. J. 61(3), 451–474 (2012)
5. Fantechi, B., Mann, E., Nironi, F.: Smooth toric Deligne–Mumford stacks. J. Reine Angew. Math. 648, 201–244 (2010)