Towards a p-adic theory of harmonic weak Maass forms
... Ωk(X) and we can compute its residue at P . By definition, near P ωU = ωV + dfU V from which it follows that the residue of ωU at P is zero, since both regular and exact differentials have zero residues everywhere. Since ωU is regular on U = X − {P } and it has zero residue at P , projection on the ...
... Ωk(X) and we can compute its residue at P . By definition, near P ωU = ωV + dfU V from which it follows that the residue of ωU at P is zero, since both regular and exact differentials have zero residues everywhere. Since ωU is regular on U = X − {P } and it has zero residue at P , projection on the ...
On continuous images of ultra-arcs
... A ∪ Y ∪ B, where A and B are disjoint metric arcs, each sharing one of its end points with Y , and disjoint from Y otherwise. Let a (resp., yA ) be the end point of A not in (resp., shared with) Y ; likewise identify b and yB . Suppose further that Y is irreducible about {yA , yB }, but that Y is no ...
... A ∪ Y ∪ B, where A and B are disjoint metric arcs, each sharing one of its end points with Y , and disjoint from Y otherwise. Let a (resp., yA ) be the end point of A not in (resp., shared with) Y ; likewise identify b and yB . Suppose further that Y is irreducible about {yA , yB }, but that Y is no ...
Comparison with classical presentations of p
... The usual pedestrian description of Zp and Qp (and more general related objects) expresses them as completions of Z and Q with respect to metrics. This description had to wait until the development of point-set topology and the notion of metric by Hausdorff, Fréchet, and many others in the 1920’s a ...
... The usual pedestrian description of Zp and Qp (and more general related objects) expresses them as completions of Z and Q with respect to metrics. This description had to wait until the development of point-set topology and the notion of metric by Hausdorff, Fréchet, and many others in the 1920’s a ...
![arXiv:1510.01797v3 [math.CT] 21 Apr 2016 - Mathematik, Uni](http://s1.studyres.com/store/data/003897650_1-5601c13b5f003f1ac843965b9f00c683-300x300.png)
THE COHOMOLOGY RING OF FREE LOOP SPACES 1. Introduction
... with integer coefficients H (CP ) ; Z . In [9], Cohen gives a com1 ...
... with integer coefficients H (CP ) ; Z . In [9], Cohen gives a com1 ...
