In this paper we introduce a new subspace of Jacobi forms of higher degree via certain relations among Fourier coefficients. We prove that this space can also be characterized by duality properties of certain distinguished embedded Hecke operators. We then show that this space is Hecke invariant with respect to all good Hecke operators. As explicit examples we give Eisenstein series. Conversely...

We study a class of timelike weakly extremal surfaces in flat Minkowski space R, characterized by the fact that they admit a C parametrization (in general not an immersion) of a specific form. We prove that if the distinguished parametrization is of class C, then the surface is regularly immersed away from a closed singular set of euclidean Hausdorff dimension at most 1 + 1/k, and that this bou...

The set of strata a reductive group can be viewed as an enlargement the unipotent classes. In this paper notion distinguished class is extended to larger set. Weyl are introduced and studied.

In this paper we shall construct master spaces for certain coupled vector bundle problems over a fixed projective variety X. These master spaces, which are moduli spaces for oriented torsion free coherent sheaves coupled with morphisms into a fixed reference sheaf E 0 , have the structure of polarized projective varieties endowed with a natural C *-action. The fixed point set of this action con...