Results 241 to 250 of about 4,733 (266)

Algebraic Systems of Positive Cycles in an Algebraic Variety

American Journal of Mathematics, 1950
Ein \(d\)-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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Algebraic Equivalence and Homology Classes of Real Algebraic Cycles

Mathematische Nachrichten, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ON ALGEBRAIC CYCLES ON ABELIAN VARIETIES

Mathematics of the USSR-Izvestiya, 1978
Let 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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Algebraic Limit Cycles

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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ALGEBRAIC CYCLES ON A REAL ALGEBRAIC GM-MANIFOLD AND THEIR APPLICATIONS

Russian Academy of Sciences. Izvestiya Mathematics, 1994
Let \(X\) be a nonsingular real projective algebraic variety, let \(\tau\) be the involution of the complex conjugation on \(X (\mathbb{C})\), and let \(G\) be its group. In general \[ \dim H^* \bigl( X(\mathbb{R}), \mathbb{F}_2 \bigr) \leq \dim H^1 \biggl( G,H^* \bigl( X (\mathbb{C}), \mathbb{F}_2 \bigr) \biggr), \] and if this inequality turns into ...
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ON ALGEBRAIC CYCLES ON SURFACES AND ABELIAN VARIETIES

Mathematics of the USSR-Izvestiya, 1982
Translation from Izv. Akad. Nauk SSSR, Ser. Mat. 45, 398-434 (Russian) (1981; Zbl 0493.14014).
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Intersection of algebraic cycles

Journal of Mathematical Sciences, 1996
In 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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Algebraic Cycles and Motives

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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Cycle-free IN-algebraic systems

2005
An IN-algebraic system inducing a cycle-free context-free grammar has a strong solution. This solution is unique if the coefficients of ɛ are equal to those of the strong solution.
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Lectures on Algebraic Cycles

2010
Spencer Bloch's 1979 Duke lectures, a milestone in modern mathematics, have been out of print almost since their first publication in 1980, yet they have remained influential and are still the best place to learn the guiding philosophy of algebraic cycles and motives.
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