منابع مشابه
The coincidence Nielsen number for maps into real projective spaces
We give an algorithm to compute the coincidence Nielsen number N(f, g), introduced in [DJ], for pairs of maps into real projective spaces. 1. Preliminaries. Let f, g :M → N be a pair of maps between closed C-smooth connected manifolds of the same dimension. We investigate the coincidence set Φ(f, g) = {x ∈ M : fx = gx} of such a pair. The Nielsen relation (x, y ∈ Φ(f, g) are Nielsen equivalent ...
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In this paper we continue to study (‘strong’) Nielsen coincidence numbers (which were introduced recently for pairs of maps between manifolds of arbitrary dimensions) and the corresponding minimum numbers of coincidence points and pathcomponents. We explore compatibilities with fibrations and, more specifically, with covering maps, paying special attention to selfcoincidence questions. As a sam...
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We compute the cohomology of the Picard bundle on the desingularization J̃ d (Y ) of the compactified Jacobian of an irreducible nodal curve Y . We use it to compute the cohomology classes of the Brill–Noether loci in J̃ d (Y ). We show that the moduli space M of morphisms of a fixed degree from Y to a projective space has a smooth compactification. As another application of the cohomology of the...
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We study the homotopy types of spaces of algebraic (rational) maps from real projective spaces into complex projective spaces. It was already shown in [1] that the inclusion of the first space into the second one is a homotopy equivalence. In this paper we prove that the homotopy types of the terms of the natural ‘degree’ filtration approximate closer and closer the homotopy type of the space o...
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Variational problems for the liquid crystal energy of mappings from three-dimensional domains into the real projective plane are studied. More generally, we study the dipole problem, the relaxed energy, and density properties concerning the conformal p-energy of mappings from n-dimensional domains that are constrained to take values into the p-dimensional real projective space, for any positive...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1992
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-140-2-121-136