Results 11 to 20 of about 11,692 (215)

A refined version of Grothendieck's anabelian conjecture for hyperbolic curves over finite fields [PDF]

open access: yes, 2017
In this paper we prove a refined version of a theorem by Tamagawa and Mochizuki on isomorphisms between (tame) arithmetic fundamental groups of hyperbolic curves over finite fields, where one "ignores" the information provided by a "small" set of primes ...
Saidi, Mohamed, Tamagawa, Akio
core   +2 more sources

Fundamental Group for Some Cuspidal Curves [PDF]

open access: yes, 1998
In [1], Hirano gives a method for constructing families of curves with a large number of singularities. The idea is to consider an abelian covering of P2 ramified along three lines in general position, and to take the pull‐back of a curve C intersecting ...
J. I. Cogolludo
semanticscholar   +1 more source

Generalized Jacobians and explicit descents [PDF]

open access: yes, 2019
We develop a cohomological description of various explicit descents in terms of generalized Jacobians, generalizing the known description for hyperelliptic curves. Specifically, given an integer $n$ dividing the degree of some reduced effective divisor $\
Creutz, Brendan
core   +2 more sources

An extension of Nori fundamental group [PDF]

open access: yes, 2015
In this paper, we study a certain extension of Nori’s fundamental group in the case where a base field is of characteristic 0 and give structure theorems about it. As a result for a smooth projective curve with genus g>1, we prove that Nori’s fundamental
Shusuke Otabe
semanticscholar   +1 more source

Mumford curves covering 𝑝-adic Shimura curves and their fundamental domains [PDF]

open access: yesTransactions of the American Mathematical Society, 2016
We give an explicit description of fundamental domains associated with the p p -adic uniformisation of families of Shimura curves of discriminant D p Dp and level N ≥ 1
L. Amoros, Piermarco Milione
semanticscholar   +1 more source

Braid Monodromy of Algebraic Curves

open access: yes, 2011
These are the notes from a one-week course on Braid Monodromy of Algebraic Curves given at the Universite de Pau et des Pays de l'Adour during the Premiere Ecole Franco-Espagnole: Groupes de tresses et topologie en petite dimension in October 2009.
J. Cogolludo-Agustín
semanticscholar   +1 more source

A series of coverings of the regular n-gon

open access: yes, 2011
We define an infinite series of translation coverings of Veech's double-n-gon for odd n greater or equal to 5 which share the same Veech group. Additionally we give an infinite series of translation coverings with constant Veech group of a regular n-gon ...
A. Zemlyakov   +13 more
core   +1 more source

Algebraic functions with even monodromy

open access: yes, 2003
Let $X$ be a compact Riemann surface of genus $g$ and $d\geq 12g+4$ be an integer. We show that $X$ admits meromorphic functions with monodromy group equal to the alternating group $A_d.
Artebani, Michela, Pirola, Gian Pietro
core   +2 more sources

By dawn or dusk—how circadian timing rewrites bacterial infection outcomes

open access: yesFEBS Letters, EarlyView.
The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo   +2 more
wiley   +1 more source

All strongly-cyclic branched coverings of (1,1)-knots are Dunwoody manifolds

open access: yes, 2004
We show that every strongly-cyclic branched covering of a (1,1)-knot is a Dunwoody manifold. This result, together with the converse statement previously obtained by Grasselli and Mulazzani, proves that the class of Dunwoody manifolds coincides with the ...
Cattabriga, Alessia, Mulazzani, Michele
core   +1 more source

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