Double fibres and double covers: paucity of rational points
J.-L. Colliot-Thélène, A. N. Skorobogatov, Sir Peter Swinnerton-Dyer (1997)
Acta Arithmetica
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Displaying similar documents to “Phantom maps and purity in modular representation theory, I”
Double fibres and double covers: paucity of rational points
Embedding partially ordered sets into
Ilijas Farah (1996)
Fundamenta Mathematicae
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We investigate some natural questions about the class of posets which can be embedded into ⟨ω,≤*⟩. Our main tool is a simple ccc forcing notion which generically embeds a given poset E into ⟨ω,≤*⟩ and does this in a “minimal” way (see Theorems 9.1, 10.1, 6.1 and 9.2).
Thick subcategories of the stable module category
D. Benson, Jon Carlson, Jeremy Rickard (1997)
Fundamenta Mathematicae
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We study the thick subcategories of the stable category of finitely generated modules for the principal block of the group algebra of a finite group G over a field of characteristic p. In case G is a p-group we obtain a complete classification of the thick subcategories. The same classification works whenever the nucleus of the cohomology variety is zero. In case the nucleus is nonzero, we describe some examples which lead us to believe that there are always infinitely many thick subcategories...
Irreducible representations of metrizable spaces and strongly countable-dimensional spaces
Richard Millspaugh, Leonard Rubin, Philip Schapiro (1995)
Fundamenta Mathematicae
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A Nielsen theory for intersection numbers
Christopher McCord (1997)
Fundamenta Mathematicae
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Nielsen theory, originally developed as a homotopy-theoretic approach to fixed point theory, has been translated and extended to various other problems, such as the study of periodic points, coincidence points and roots. In this paper, the techniques of Nielsen theory are applied to the study of intersections of maps. A Nielsen-type number, the Nielsen intersection number NI(f,g), is introduced, and shown to have many of the properties analogous to those of the Nielsen fixed point number....
On Auslander–Reiten components for quasitilted algebras
Flávio Coelho, Andrzej Skowroński (1996)
Fundamenta Mathematicae
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An artin algebra A over a commutative artin ring R is called quasitilted if gl.dim A ≤ 2 and for each indecomposable finitely generated A-module M we have pd M ≤ 1 or id M ≤ 1. In [11] several characterizations of quasitilted algebras were proven. We investigate the structure and homological properties of connected components in the Auslander-Reiten quiver of a quasitilted algebra A.
Spaces of polynomials with roots of bounded multiplicity
M. Guest, A. Kozlowski, K. Yamaguchi (1999)
Fundamenta Mathematicae
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We describe an alternative approach to some results of Vassiliev ([Va1]) on spaces of polynomials, by applying the "scanning method" used by Segal ([Se2]) in his investigation of spaces of rational functions. We explain how these two approaches are related by the Smale-Hirsch Principle or the h-Principle of Gromov. We obtain several generalizations, which may be of interest in their own right.