## Abstract In [6], we constructed a period pairing for flat irregular singular conncetions on surfaces. We now extend these constructions to a perfect period pairing between the irregularity complex of the connection and the complex of relative rapid decay chains. As a consequence, the period dete
On the purely irregular fundamental group
✍ Scribed by Sinan Ünver
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 96 KB
- Volume
- 283
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Based on the (not yet fully understood analogy) between irregular connections and wild ramification, we define a purely irregular fundamental group for complex algebraic varieties and prove some results about this fundamental group which are analogous to the p-adic étale fundamental group of algebraic varieties over fields of characteristic p.
📜 SIMILAR VOLUMES
## Abstract For any graph __G__, let __n~i~__ be the number of vertices of degree __i__, and $\lambda (G)={max} \_{i\le j}\{ {n\_i+\cdots +n\_j+i-1\over j}\}$. This is a general lower bound on the irregularity strength of graph __G__. All known facts suggest that for connected graphs, this is the a
Let \(X\) be a smooth proper connected algebraic curve defined over an algebraic number field \(K\). Let \(\pi_{1}(\bar{X})\), be the pro-l completion of the geometric fundamental group of \(\bar{X}=X \otimes_{k} \bar{K}\). Let \(p\) be a prime of \(K\), which is coprime to l. Assuming that \(X\) ha
Generalizing Specker's result [7] for a countable case without using the continuum hypothesis, Nöbeling [6] proved that the subgroup of a direct product I consisting of all finite valued functions is free for any index set I As a non-commutative version of this theorem in case I is countable, Zastro