Abstract
AbstractWe study finite dimensional approximations to degenerate versions of affine flag varieties using quiver Grassmannians for cyclic quivers. We prove that they admit cellular decompositions parametrized by affine Dellac configurations, and that their irreducible components are normal Cohen-Macaulay varieties with rational singularities.
Publisher
Springer Science and Business Media LLC
Reference32 articles.
1. Beauville, A., Laszlo, Y.: Conformal Blocks and Generalized Theta functions. Commun. Math. Phys. 164, 385–419 (1994)
2. Bongartz, K.: Grassmannians and varieties of modules. Unpublished manuscript (1997)
3. Carrell, J. B.: Torus Actions and Cohomology. In: Gamkrelidze, R. V. (ed.) Encyclopaedia of Mathematical Sciences (Invariant Theory and Algebraic Transformationgroups), pp 83–158. Springer, Berlin (2002)
4. Cerulli Irelli, G.: Quiver Grassmannians associated with string modules. J. Algebraic Comb. 33, 259–276 (2011)
5. Cerulli Irelli, G., Esposito, F., Franzen, H., Reineke, M: Cellular decomposition and algebraicity of cohomology for quiver Grassmannians. 1804.07736v3
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献