1414 1212 1212 1414 1212 1313 1313 2 2

Key words: Density theorem, prehomogeneous vector spaces, quadratic forms, Tamagawa numbers, local zeta functions.. The first author was partially supported by Teijin

In this section, we first define the notion of the generalized toric (GT) graph. Then we introduce the three point function and define the partition function and the free energy of the

In Section 2 we recall some known works on the geometry of moduli spaces which include the degeneration of Riemann surfaces and hyperbolic metrics, the Ricci, perturbed Ricci and

We provide an extension of the Fefferman-Phong inequality to nonnegative sym- bols whose fourth derivative belongs to a Wiener-type algebra of pseudodifferential operators introduced

Nicolaescu and the author formulated a conjecture which relates the geometric genus of a complex analytic normal surface singularity (X, 0) — whose link M is a rational homology

A line bundle as in the right hand side of the definition of Cliff(X ) is said to contribute to the Clifford index and, among them, those L with Cliff(L) = Cliff(X) are said to

Computation of Nambu-Poisson cohomology of type (I) In this subsection, we confine ourselves to nondegenerate linear Nambu- Poisson tensors of type (I).. We get the following results

Therefore, when gravity is switched on, the extended momentum space of a point particle is given by the group manifold SL(2, R ) (to be contrasted with the vector space sl(2, R ) in