In this paper, we present an application of Variable Pulse Width Finite Rate of Innovation (VPW-FRI) in dealing with multichannel Electrocardiogram (ECG) data using a common annihilator. By extending the conventional FRI model to include additional parameters such as pulse width and asymmetry, VPWFRI has been able to deal with a more general class of pulses. The common annihilator, which is int...

Let φ : Rm → Rd be a map of free modules over a commutative ring R. Fitting’s Lemma shows that the “Fitting ideal,” the ideal of d × d minors of φ, annihilates the cokernel of φ and is a good approximation to the whole annihilator in a certain sense. In characteristic 0 we define a Fitting ideal in the more general case of a map of graded free modules over a Z/2graded skew-commutative algebra a...

An element a of a semigroup algebra F[S] over a field F is called a right annihilating element of F[S] if xa = 0 for every x ∈ F[S], where 0 denotes the zero of F[S]. The set of all right annihilating elements of F[S] is called the right annihilator of F[S]. In this paper we show that, for an arbitrary field F, if a finite semigroup S is a direct product or semilattice or right zero semigroup o...

Arakelov theory for Riemann surfaces is based on two analytic invariants: the Green function and Faltings δ invariant. Both invariants are hard to compute and they are only known in a few cases (cf. [3],[1]). They are related by a formula of Faltings, which also involves the theta-function on the jacobian of the curve. In any case, it is an ineffective relation, because three of the four terms ...

Christian Frei and Boi Faltings !!! add aaliation at bottom (are with) !!!

In [Zh], R. B. Zhang found a way to link certain formal deformations of the Lie algebra o(2l + 1) and the Lie superalgebra osp(1, 2l). The aim of this article is to reformulate the Zhang transformation in the context of the quantum enveloping algebrasà la Drinfeld-Jimbo and to show how this construction can explain the main theorem of [GL2]: the annihilator of a Verma module over the Lie supera...

For our study of Faltings’ heights on abelian varieties over number fields, it will be convenient if we can compactify the “moduli space” of g-dimensional abelian varieties (over Z) such that the universal abelian scheme extends to a semi-abelian scheme over the compactification. The reason for this wish is that ideally we’d like to set up a theory for which the Faltings height of an abelian va...

Let X be an algebraic variety defined over a number field K and X(K) its set of K-rational points. We are interested in properties of X(K) imposed by the global geometry of X. We say that rational points on X are potentially dense if there exists a finite field extension L/K such that X(L) is Zariski dense. It is expected at least for surfaces that if there are no finite étale covers of X domin...