TORIC MORPHISMS BETWEEN p-COMPACT GROUPS
نویسنده
چکیده
It is well-known that any morphism between two p-compact groups will lift, nonuniquely, to an admissible morphism between the maximal tori. We identify here a class of pcompact group morphisms, the p-toric morphisms, which can be perceived as generalized rational isomorphisms, enjoying the stronger property of lifting uniquely to a morphism between the maximal torus normalizers. We investigate the class of p-toric morphisms and apply our observations to determine the mapping spaces map(BSU(3), BF4), map(BG2, BF4), and map(BSU(3), BG2) where the classifying spaces have been completed at the prime p = 3.
منابع مشابه
Morphisms and Order Ideals of Toric Posets
Abstract: Toric posets are in some sense a natural “cyclic” version of finite posets in that they capture the fundamental features of a partial order but without the notion of minimal or maximal elements. They can be thought of combinatorially as equivalence classes of acyclic orientations under the equivalence relation generated by converting sources into sinks, or geometrically as chambers of...
متن کاملHomogeneous Coordinates and Quotient Presentations for Toric Varieties
Generalizing cones over projective toric varieties, we present arbitrary toric varieties as quotients of quasiaffine toric varieties. Such quotient presentations correspond to groups of Weil divisors generating the topology. Groups comprising Cartier divisors define free quotients, whereas Q-Cartier divisors define geometric quotients. Each quotient presentation yields homogeneous coordinates. ...
متن کاملMorphisms of Cohft Algebras and Quantization of the Kirwan Map
We introduce a notion of morphism of CohFT algebras, based on the analogy with A∞ morphisms. We outline the construction of a “quantization” of the classical Kirwan morphism to a morphism of CohFT algebras from the equivariant quantum cohomology of a Gvariety to the quantum cohomology of its geometric invariant theory or symplectic quotient, and an example relating to the orbifold quantum cohom...
متن کاملThree-dimensional Toric Morphisms with Anti-nef Canonical Divisors
In this paper, we classify projective toric birational morphisms from Gorenstein toric 3-folds onto the 3-dimensional affine space with relatively ample anti-canonical divisors.
متن کاملEquivariant Completions of Toric Contraction Morphisms
We treat equivariant completions of toric contraction morphisms as an application of the toric Mori theory. For this purpose, we generalize the toric Mori theory for non-Q-factorial toric varieties. So, our theory seems to be quite different from Reid’s original combinatorial toric Mori theory. We also explain various examples of non-Q-factorial contractions, which imply that the Q-factoriality...
متن کامل