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Stable mappings of discriminant varieties
Mathematical Proceedings of the Cambridge Philosophical Society, 1988Smooth mappings defined on discriminant varieties of -versal unfoldings of isolated singularities arise in many interesting geometrical contexts, for example when classifying outlines of smooth surfaces in ℝ3 and their duals, or wave-front evolution [1, 2, 5]. In three previous papers we have classified various stable mappings on discriminants.
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Free algebras in discriminator varieties
Algebra Universalis, 1995The main result of this paper is the representation of the free algebras of a certain class of discriminator varieties, called \({\mathcal M}\)-spectral varieties by the author, as certain Boolean products. \({\mathcal M}\)-spectral varieties are defined as follows: If \({\mathcal L}\) is a language of algebras, \({\mathcal M}\) a class of \({\mathcal ...
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Vector Fields on Discriminants and Bifurcation Varieties
Bulletin of the London Mathematical Society, 1985Let f: (\({\mathbb{C}}^ n,0)\to ({\mathbb{C}},0)\) be a holomorphic map germ and B the associated full bifurcation variety. One knows that B is a hypersurface germ, and a result of \textit{H. Terao} in Math. Ann. 263, 313- 321 (1983; Zbl 0497.32016) states that the module of logarithmic vector fields tangent to B is free over the ring of holomorphic ...
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The word problem for discriminator varieties
Siberian Mathematical Journal, 1992See the review in Zbl 0756.08004.
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Dual discriminator subvarieties of a variety
Algebra Universalis, 1995The dual discriminator function \(d(x,y,z)\) on a set \(A\) is defined as \(d (a, b, c) = a\) if \(a = b\) and \(d(a,b,c) = c\) if \(a \neq b\). Let \(q(x,y,z)\) be a term of a variety \({\mathcal V}\) of algebras. Then the subvariety \({\mathcal X}\) of \({\mathcal V}\) generated by all algebras in \({\mathcal V}\) where \(q(x,y,z)\) yields the dual ...
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Children’s emerging ability to discriminate L1-varieties
First Language, 2018Children in Austria are exposed to a large amount of variation within the German language. Most children grow up with a local dialect, German standard language and ‘intermediate’ varieties summarized as ‘Umgangssprache’. Using an ABX design, this study analyses when Austrian children are able to discriminate native varieties of their L1 German ...
Irmtraud Kaiser, Gudrun Kasberger
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Decidable discriminator varieties with lattice stalks
Algebra Universalis, 1994Abstract: "We determine those universal classes of lattices which generate a decidable discriminator variety when augmented by a ternary discriminator term. They are the locally finite universal classes whose finite members are almost homogeneous."
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Discriminant loci of varieties with smooth normalization
Communications in Algebra, 2000Let X be a smooth complex projective n-fold endowed with an ample and spanned line bundle (L). Under the assumption that Γ(L) defines a generically one-to-one map we describe the singular set of the general element in the main component of the discriminant locus of |L|. This description is used to show that (X:,L) is covered by linear Pk’s, where k + 1
A. Lanteri, M. Palleschi, A. J. Sommese
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Iterated discriminator varieties have undecidable theories
Algebra Universalis, 1985The author establishes a fairly wide class of discriminator varieties with undecidable theories. The result generalizes the most important example, namely, the variety \(CA_ 1\) of monadic algebras.
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Conditional geometric scales of discriminator varieties
Siberian Mathematical Journal, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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