– Let X be a complex, smooth, projective and connected curve, G be a simple and simply connected complex algebraic group and MG,X be the stack of G-bundles on X. I show, using the decomposition formulas of Tsuchiya-Ueno-Yamada [T-U-Y] and Faltings [F], the existence of certain line bundles on MG,X, conjectured in [L-S]. Then this result is applied to the question of local factoriality of the co...

In Blok [1] a‰nely rigid classes of geometries were studied. These are classes B of geometries with the following property: Given any two geometries G1;G2 A B with subspaces S1 and S2 respectively, then any isomorphism G1 S1 ! G2 S2 uniquely extends to an isomorphism G1 ! G2. Suppose G belongs to an a‰nely rigid class. Then for any subspace S we have AutðG SÞcAutðGÞ. Suppose that, in addition, ...

We present projective descriptions of classical spaces functions and distributions. More precisely, we provide these by semi-norms which are defined a combination norms multiplication or convolution with certain functions. These seminorms simpler than the ones given supremum over bounded compact sets.

We study a q-deformation for the semi-direct product of the symmetric group Sn with the Clifford algebra on n anticommuting generators. We obtain a q-version of the projective analogue for the classical Young symmetrizer introduced by the second author. Our main tool is an analogue of the Hecke algebra of complex valued functions on the group GLn over a p-adic field relative to the Iwahori subg...

In this paper we show that the fields of rational invariants over the irreducible components of the module varieties for an acyclic gentle algebra are purely transcendental extensions. Along the way, we exhibit for such fields of rational invariants a transcendence basis in terms of Schofield’s determinantal semi-invariants. We also show that the moduli space of modules over a regular irreducib...

In this paper, we introduce the notion of {bf K}-flat projective fuzzy quantales, and give an elementary characterization in terms of a fuzzy binary relation on the fuzzy quantale. Moreover, we  prove that {bf K}-flat projective fuzzy quantales are precisely the coalgebras for a certain comonad on the category of fuzzy quantales. Finally, we present two special cases of {bf K} as examples.

In Blok [1] affinely rigid classes of geometries were studied. These are classes B of geometries with the following property: Given any two geometries Γ1,Γ2 ∈ B with subspaces S1 and S2 respectively, then any isomorphism Γ1 −S1 −→ Γ2 −S2 uniquely extends to an isomorphism Γ1 −→ Γ2. Suppose Γ belongs to an affinely rigid class. Then it follows that for any subspace S we have Aut(Γ − S) ≤ Aut(Γ)....

Our purpose is to study a space ? of centered m-planes in n-projective space. Generalized fiberings (with semi-gluing) are investigated. Planar and normal affine connections associated with the set generalized fiberings. Fields these connection objects define torsion curvature tensors. The canonical cases planar considered.

in this paper, at first we introduce a new index with the name co-pi index and obtain someproperties related this new index. then we compute this new index for tuc4c8(r) nanotubes.