Support varieties of line bundle cohomology groups for SL3(k)
نویسندگان
چکیده
منابع مشابه
Support Varieties for Quantum Groups
Given a root datum (Y,X, . . . ) and an odd integer l G.Lusztig defined a finite-dimensional Hopf algebra u over the cyclotomic field k := Q(ξ) where ξ is a primitive l−th root of unity, see [Lu1]. Suppose that l > h where h is the Coxeter number of the split reductive Lie algebra g over k associated to the root datum (Y,X, . . . ). In this case the cohomology H(u, k) of algebra u with trivial ...
متن کاملChow Groups, Chow Cohomology, and Linear Varieties
We compute the Chow groups and Fulton–MacPherson’s operational Chow cohomology ring for a class of singular rational varieties including toric varieties. The computation is closely related to the weight filtration on the ordinary cohomology of these varieties. We use the computation to answer one of the open problems about operational Chow cohomology: it does not have a natural map to ordinary ...
متن کاملUnramified Cohomology of Classifying Varieties for Exceptional Simply Connected Groups
Let BG be a classifying variety for an exceptional simple algebraic group G. We compute the degree 3 unramified Galois cohomology of BG with values in (Q/Z)′(2) over a nearly arbitrary field F . Combined with a paper by Merkurjev, this completes the computation of these cohomology groups for G semisimple simply connected over (nearly) all fields. Let G be an algebraic group over a field F with ...
متن کاملHochschild Cohomology and Support Varieties for Tame Hecke Algebras
We give a basis for the Hochschild cohomology ring of tame Hecke algebras. We then show that the Hochschild cohomology ring modulo nilpotence is a finitely generated algebra of Krull dimension 2, and describe the support varieties of modules for these algebras.
متن کاملCohomology of U(2, 1) Representation Varieties of Surface Groups
In this paper we use the Morse theory of the Yang-Mills-Higgs functional on the singular space of Higgs bundles on Riemann surfaces to compute the equivariant cohomology of the space of semistable U(2, 1) and SU(2, 1) Higgs bundles with fixed Toledo invariant. In the non-coprime case this gives new results about the topology of the U(2, 1) and SU(2, 1) character varieties of surface groups. The...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2016
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2015.09.034