Twisted Torus Bundles over Arithmetic Varieties
نویسنده
چکیده
A twisted torus is a nilmanifold which is the quotient of a real Heisenberg group by a cocompact discrete subgroup. We construct fiber bundles over arithmetic varieties whose fibers are isomorphic to a twisted torus, and express the complex cohomology of such bundles over certain Riemann surfaces in terms of automorphic forms.
منابع مشابه
Character varieties of once-punctured torus bundles with tunnel number one
We determine the PSL2(C) and SL2(C) character varieties of the once-punctured torus bundles with tunnel number one, i.e. the once-punctured torus bundles that arise from filling one boundary component of the Whitehead link exterior. In particular, we determine ‘natural’ models for these algebraic sets, identify them up to birational equivalence with smooth models, and compute the genera of the ...
متن کاملHeight Zeta Functions of Twisted Products
We investigate analytic properties of height zeta functions of toric bundles over flag varieties.
متن کاملGluing Affine Torus Actions via Divisorial Fans
Generalizing the passage from a fan to a toric variety, we provide a combinatorial approach to construct arbitrary effective torus actions on normal, algebraic varieties. Based on the notion of a “proper polyhedral divisor” introduced in earlier work, we develop the concept of a “divisorial fan” and show that these objects encode the equivariant gluing of affine varieties with torus action. We ...
متن کاملCohomology of Torus Bundles over Kuga Fiber Varieties
A Kuga fiber variety is a family of abelian varieties parametrized by a locally symmetric space and is constructed by using an equivariant holomorphic map of Hermitian symmetric domains. We construct a complex torus bundle T over a Kuga fiber variety Y parametrized by X and express its cohomology H∗(T ,C) in terms of the cohomology of Y as well as in terms of the cohomology of the locally symme...
متن کاملTwisted Bundle On Quantum Torus and BPS States in Matrix Theory
Following the recent work of Connes, Douglas and Schwarz, we study the M(atrix) model compactified on a torus with a background of the three-form field. This model is given by a super Yang-Mills theory on a quantum torus. To consider twisted gauge field configurations, we construct twisted U(n) bundles on the quantum torus as a deformation of its classical counterpart. By properly taking into a...
متن کامل