We find a system of two polynomial equations in two unknowns, whose solution allows us to give an explicit expression of the conformal representation of a simply connected three-sheeted compact Riemann surface onto the extended complex plane. This function appears in the description of the ratio asymptotic of multiple orthogonal polynomials with respect to so-called Nikishin systems of two meas...

where a = (234) and b = (243)(12) Here, the complete classification of G in S4 is given. These calculations are mostly obtained in [6]. These representations are divided into eight non-equivalent classes. For each class a representative homomorphism is considered and the corresponding fundamental group of 4-sheeted covering space of the overhand knot has been calculated by the algorithm of Prof...

Mineral paragenesis of rodingitized basic rocks of Iranian ophiolites are presented and metasomatic reactions between Ca+2 bearing aqueous fluids issued during serpentinization of host ultramafic rock – with magmatic minerals of basic rocks leading to present paragenesis of rodingites are discussed. It is concluded that Ca+2 rich aqueous fluid in equilibrium with serpentinite has high Ca+2 chem...

7 The Unst Ophiolite is the best exposed of a chain of early Ordovician ophiolites in the 8 Scottish Caledonides and is widely regarded as having formed in a supra-subduction zone 9 setting within the Iapetus Ocean. Reinterpretation of sheeted dykes suggests that it formed 10 as an oceanic core complex, presumably during subduction roll-back immediately prior to 11 obduction onto the Laurentian...