Search results for "Coprime integers"

showing 2 items of 22 documents

Projective Crystalline Representations of \'Etale Fundamental Groups and Twisted Periodic Higgs-de Rham Flow

2017

This paper contains three new results. {\bf 1}.We introduce new notions of projective crystalline representations and twisted periodic Higgs-de Rham flows. These new notions generalize crystalline representations of \'etale fundamental groups introduced in [7,10] and periodic Higgs-de Rham flows introduced in [19]. We establish an equivalence between the categories of projective crystalline representations and twisted periodic Higgs-de Rham flows via the category of twisted Fontaine-Faltings module which is also introduced in this paper. {\bf 2.}We study the base change of these objects over very ramified valuation rings and show that a stable periodic Higgs bundle gives rise to a geometric…

Pure mathematicsDegree (graph theory)Coprime integersMathematics - Number TheoryAbsolutely irreducibleApplied MathematicsGeneral MathematicsImage (category theory)Order (ring theory)Higgs bundleHiggs fieldMathematics - Algebraic Geometryp-adic Hodge theoryMathematics
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Conway irreducible hyperbolic knots with two common covers

2005

International audience; For each pair of coprime integers n > m ≥ 2 we construct pairs of non equivalent Conway irreducible hyperbolic knots with the same n-fold and m-fold cyclic branched covers.

[ MATH.MATH-GT ] Mathematics [math]/Geometric Topology [math.GT]Pure mathematicsQuantitative Biology::BiomoleculesCoprime integersHyperbolic groupMathematics::Number TheoryGeneral Mathematics010102 general mathematicsSkein relationHyperbolic 3-manifoldVolume conjecture01 natural sciencesRelatively hyperbolic groupMathematics::Geometric TopologyKnot theoryAlgebra[MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]0103 physical sciences010307 mathematical physics0101 mathematicsMathematics[MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]
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