Representations of mock theta functions Advances in Mathematics

As mentioned in the introduction, Z = (0ev) C A2,n is the locus of all the principally polarized abelian surfaces which are isomorphic to a product of two elliptic curves (with

The goal of this paper is to prove that the quotient of a first order Appell-Lerch series by a suitable theta-function can be written, near every given root of unity, as the sum of

It is possible to make this analytic proof work in the algebraic set-up [M1] of theta functions over any algebraically closed field of characteristic different from two.. However,

Let G 2 be the exceptional Lie group of automorphisms of the complex Cayley algebra and C be a smooth, connected, projective curve of genus at least 2.. Using the map obtained

It is natural to introduce for a curve C the integer r(C) defined as the minimal rank for which there exists a semi-stable rank-r(C) vector bundle with trivial determinant over

D In the same way that we extended constructions involving trigonometric polynomials to more general functions in proofs like that of Theorem 2 from Lemma 20 so we can

Every quasi p-group ~i.e. a finite group generated by its p-Sylov sub- groups) is the Galois group of an unramified covering of the affine line in. characteristic

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