相关论文: An index theorem for gerbes
We prove an analogue of the prime number theorem for finite fields.
Using the concept of a twisted trace density on a cyclic groupoid, a trace is constructed on a formal deformation quantization of a symplectic orbifold. An algebraic index theorem for orbifolds follows as a consequence of a local…
A vector variational principle is proved.
The theorem presented in this paper allows the creation of large prime numbers (of order up to o(n^2)) given a table of all primes up to n.
In this paper, we prove certain theorems about three consecutive primes.
A general theorem on fibers of singular sets is presented.
In this work we state a Theorem on number theory and apply it to solve some ordinary and partial differential equations.
We prove an index theorem for the quotient module of a monomial ideal. We obtain this result by resolving the monomial ideal by a sequence of Bergman space like essentially normal Hilbert modules.
In this article we present a generalization of a Leibniz's geometrical theorem and an application of it.
In his book (II.5), Connes gives a proof of the Atiyah-Singer index theorem for closed manifolds by using deformation groupoids and appropiate actions of these on R^N. Following these ideas, we prove an index theorem for manifolds with…
By a small bundle gerbe we mean a bundle gerbe in the sense of Murray defined on a smooth, finite-dimensional, fibre bundle over a manifold. We construct such gerbes over compact oriented aspherical 3-manifolds, as well as in higher…
We give a new simpler proof of a theorem of Jayne and Rogers.
In the paper it is demonstrated that Bells theorem is an unprovable theorem.
We shall prove an extension of the semipositivity theorem for the case of reducible algebraic fiber spaces.
The aim of this article is to give a new proof of Cohen-Gabber theorem in the equal characteristic $p>0$ case.
This paper gives a fairly explicit formula for the Hilbert series of algebras of Veronese type.
We give an elementary proof to Hasse theorem.
We prove the even isomorphism theorem for Coxeter groups
We establish a Szemeredi-Trotter type result for hyperbolas in $\mathbb F_p\times\mathbb F_p$
We give a new proof of Tietze Theorem on the convergence of infinite semi-regular continued fractions.