Results 1 to 10 of about 11,692 (215)
Dihedral coverings of trigonal curves [PDF]
, 2010 We classify and study trigonal curves in Hirzebruch surfaces admitting dihedral Galois coverings. As a consequence, we obtain certain restrictions on the fundamental group of a plane curve~$D$ with a singular point of multiplicity $(\deg D-3)$.
A. Degtyarev
semanticscholar +6 more sources
Coverings in p-adic analytic geometry and log coverings I: Cospecialization of the (p')-tempered fundamental group for a family of curves [PDF]
, 2009 The tempered fundamental group of a p-adic analytic space classifies coverings that are dominated by a topological covering (for the Berkovich topology) of a finite etale covering of the space. Here we construct cospecialization homomorphisms between (p') versions of the tempered fundamental groups of the fibers of a smooth family of curves with ...
Emmanuel Lepage
openaire +3 more sources
On étale fundamental groups of formal fibres of $p$-adic curves [PDF]
Tohoku mathematical journal, 2019 We investigate a certain class of (geometric) finite (Galois) coverings of formal fibres of $p$-adic curves and the corresponding quotient of the (geometric) etale fundamental group.
Mohamed Saidi
semanticscholar +1 more source
A Family of Étale Coverings of the Affine Line [PDF]
, 1993 It this note we prove the following theorem. Letπalg1(A1C) be the algebraic fundamental group of the affine line overC, whereCis the completion of the algebraic closure ofFq((1/T)), andFqis a field withqelements.
Kirti Joshi
semanticscholar +1 more source
Formal orbifolds and orbifold bundles in positive characteristic [PDF]
International Journal of Mathematics, 2015 We define formal orbifolds over an algebraically closed field of arbitrary characteristic as curves together with some branch data. Their étale coverings and their fundamental groups are also defined.
Manish Kumar, A. Parameswaran
semanticscholar +1 more source
Crystals and monodromy of Bethe vectors [PDF]
, 2017 Fix a semisimple Lie algebra g. Gaudin algebras are commutative algebras acting on tensor product multiplicity spaces for g-representations. These algebras depend on a parameter which is a point in the Deligne-Mumford moduli space of marked stable genus ...
I. Halacheva +3 more
semanticscholar +1 more source
Algorithmic aspects of branched coverings [PDF]
, 2017 This is the announcement, and the long summary, of a series of articles on the algorithmic study of Thurston maps. We describe branched coverings of the sphere in terms of group-theoretical objects called bisets, and develop a theory of decompositions of
Bartholdi, Laurent, Dudko, Dzmitry
core +5 more sources
Covers in
Annales de l'Institut Fourier, 2013 The tempered fundamental group of a p-adic analytic space classifies covers that are dominated by a topological cover (for the Berkovich topology) of a finite étale cover of the space. Here we construct cospecialization homomorphisms between (p ′ ) versions of the tempered fundamental groups of the fibers of a smooth family of curves with semistable ...
openaire +1 more source
Cyclic coverings of the $p$-adic projective line by Mumford curves [PDF]
, 2007 Exact bounds for the positions of the branch points for cyclic coverings of the $p$-adic projective line by Mumford curves are calculated in two ways. Firstly, by using Fumiharu Kato's *-trees, and secondly by giving explicit matrix representations of ...
Bradley, Patrick Erik
core +3 more sources
Shimura varieties in the Torelli locus via Galois coverings [PDF]
, 2014 Given a family of Galois coverings of the projective line we give a simple sufficient condition ensuring that the closure of the image of the family via the period mapping is a special (or Shimura) subvariety in A_g. By a computer program we get the list
Frediani, Paola +2 more
core +3 more sources