Results 241 to 250 of about 123,228 (271)
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Decomposability of Reflexive Cycle Algebras
Journal of the London Mathematical Society, 1995We give, for each \(n\geq 3\), an example of a reflexive operator algebra \({\mathcal A}_ n\) with the following properties: (i) each finite rank operator with rank less than \(n-1\) is the sum of rank-one operators in \({\mathcal A}_ n\), and (ii) there is an operator of rank \(n-1\) in \({\mathcal A}_ n\) which is not the sum of rank-one operators in
Harrison, K. J., Mueller, U. A.
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2000
We collect several basic properties of algebraic cycle complexes defined by Bloch, Friedlander, Suslin and Voevodsky, like moving lemmas, localization, homotopy invariance and Mayer-Vietoris exact sequences. We also explain a generalization of the theorem of Nesterenko/Suslin/Totaro from fields to smooth, semilocal algebras of geometric type over an ...
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We collect several basic properties of algebraic cycle complexes defined by Bloch, Friedlander, Suslin and Voevodsky, like moving lemmas, localization, homotopy invariance and Mayer-Vietoris exact sequences. We also explain a generalization of the theorem of Nesterenko/Suslin/Totaro from fields to smooth, semilocal algebras of geometric type over an ...
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Algebraic Systems of Positive Cycles in an Algebraic Variety
American Journal of Mathematics, 1950Ein \(d\)-dimensionaler \glqq Zykel\grqq{} (Divisor) auf einer algebraischen Mannigfaltigkeit \(U\) in einem projektiven Raum \(S_m\) wird nach \textit{A. Weil} [Foundation of algebraic geometry. New York: American Mathematical Society (1946; Zbl 0063.08198; Zbl 0168.18701), p.
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Optimal v-cycle algebraic multilevel preconditioning
Numerical Linear Algebra with Applications, 1998This paper deals with the iterative solution of large sparse symmetric positive (non-negative) definite linear systems arising from the discretization of second order elliptic partial differential equations. The author considers algebraic multilevel preconditioning methods based on the recursive use of a \(2\times 2\) block incomplete factorization ...
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Algebraic Equivalence and Homology Classes of Real Algebraic Cycles
Mathematische Nachrichten, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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International Journal of Bifurcation and Chaos
In the qualitative theory of differential equations in the plane [Formula: see text], one of the most difficult objects to study is the existence of limit cycles. Here, we summarize some results and open problems on the algebraic limit cycles of the planar polynomial differential systems.
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In the qualitative theory of differential equations in the plane [Formula: see text], one of the most difficult objects to study is the existence of limit cycles. Here, we summarize some results and open problems on the algebraic limit cycles of the planar polynomial differential systems.
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2007
Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Alexander Grothendieck taught that algebraic cycles should be considered from a motivic point of view and in recent years this topic has spurred a lot of activity.
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Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Alexander Grothendieck taught that algebraic cycles should be considered from a motivic point of view and in recent years this topic has spurred a lot of activity.
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Intersection of algebraic cycles
Journal of Mathematical Sciences, 1996In this expository paper, the author explains with illustrating examples why intersection homology is needed to recover some properties of intersection of cycles and of Poincaré duality both of which fail when one uses the classical homology theory for singular pseudomanifolds.
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ON ALGEBRAIC CYCLES ON ABELIAN VARIETIES
Mathematics of the USSR-Izvestiya, 1978Let be a simple 4-dimensional abelian variety of the first or second type in Albert's classification (i.e. all simple factors of the -algebra are isomorphic to or ). In this case the algebra over is generated by divisor classes. If , and the Hodge group has type or , then and the -space is not generated by classes of intersections of divisors ...
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1984
If T is a non-singular curve, and p: S → is a morphism, any (k+ 1)-cycle \( \alpha = \sum {n_i}\left[ {{\mathfrak{F}_i}} \right] \) On S determines an algebraic family of k-cycles αt, on the fibres Y t =P -1 (t): $$ {\alpha _t} = \begin{array}{*{20}{c}} \sum \\ {{\gamma _i}} \end{array}{n_i}\left[ {{{\left( {{V_i}} \right)}_t}} \right] $$
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If T is a non-singular curve, and p: S → is a morphism, any (k+ 1)-cycle \( \alpha = \sum {n_i}\left[ {{\mathfrak{F}_i}} \right] \) On S determines an algebraic family of k-cycles αt, on the fibres Y t =P -1 (t): $$ {\alpha _t} = \begin{array}{*{20}{c}} \sum \\ {{\gamma _i}} \end{array}{n_i}\left[ {{{\left( {{V_i}} \right)}_t}} \right] $$
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