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We consider singular foliations of codimension one on 3-manifolds, in the sense defined by André Haefliger as being Γ1-structures. We prove that under the obvious linear embedding condition, they are Γ1-homotopic to a regular foliation carried by an open book or a twisted open book. The latter...
InthispaperweintroducethenotionofaweakYetter-Drinfeldgroupmodule over a weak T-coalgebra and give some basic properties. Moreover we also prove that the category of weak Yetter-Drinfeld group modules is isomorphic to the center of the representation category of a weak T-coalgebra H denoted by...
n≥0 be the Fibonacci sequence given by F
n+2 = F
n+1 + F
, for n ≥ 0, where F
0 = 0 and F
1 = 1. There are several interesting identities involving this sequence such as F
2n+1, for all n ≥ 0. In a very recent paper, Marques and Togbé proved that if F...
Let G be a compact Lie group. Let X, Y be free G-spaces. In this paper, by using the numerical index i (X; R), under cohomological conditions on the spaces X and Y, we consider the question of the existence of G-equivariant maps f: X → Y.
We give a list of Heun equations which are Picard-Fuchs associated to families of algebraic varieties. Our list is based on the classification of families of elliptic curves with four singular fibers done by Herfurtner. We also show that pull-backs of hypergeometric functions by rational Belyi...
Given two integers m ≥ n ≥ 0 we exhibit (ruled) surfaces with multiplicity m and Euler obstruction n.
We show that the generalized Giulietti-Korchmáros curve defined over
, for n ≥ 3 odd and q ≥ 3, is not a Galois subcover of the Hermitian curve over
. This answers a question raised by Garcia, Güneri and Stichtenoth.
We consider a piecewise analytic real expanding map f: [0, 1] → [0, 1] of degree d which preserves orientation, and a real analytic positive potential g: [0, 1] → ℝ. We assume the map and the potential have a complex analytic extension to a neighborhood of the interval in the complex plane. We...
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