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Introduction Algebraic Cycles
"... This article is based on a talk given by V. Srinivas at the MRI, Allahabad. We give an account of the theory of algebraic cycles where the stress is not on ..."
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This article is based on a talk given by V. Srinivas at the MRI, Allahabad. We give an account of the theory of algebraic cycles where the stress is not on
Quaternionic Algebraic Cycles And Reality
, 2001
"... In this paper we compute the equivariant homotopy type of spaces of algebraic cycles on real BrauerSeveri varieties, under the action of the Galois group Gal(C/R). Appropriate stabilizations of these spaces yield two equivariant spectra. The first one classifies Dupont/Seymour's quaternioni ..."
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In this paper we compute the equivariant homotopy type of spaces of algebraic cycles on real BrauerSeveri varieties, under the action of the Galois group Gal(C/R). Appropriate stabilizations of these spaces yield two equivariant spectra. The first one classifies Dupont
Around Rationality of Algebraic Cycles by
, 2014
"... iAbstract Let F be a field and X, Y some Fvarieties. In this dissertation, we are interested in knowing if the class y ∈ CH(YF (X)) of an algebraic cycle defined over the function field F (X) is actually defined over the base field, i.e belongs to the image of the pullback homomorphism CH(Y) → CH ..."
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iAbstract Let F be a field and X, Y some Fvarieties. In this dissertation, we are interested in knowing if the class y ∈ CH(YF (X)) of an algebraic cycle defined over the function field F (X) is actually defined over the base field, i.e belongs to the image of the pullback homomorphism CH
Topological properties of the algebraic cycles functor
, 2001
"... 2. Topological properties of algebraic cycles 4 2.1. The flat and equidimensional topologies 6 2.2. The Chow topology 8 ..."
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2. Topological properties of algebraic cycles 4 2.1. The flat and equidimensional topologies 6 2.2. The Chow topology 8
Homological Algebra of Mirror Symmetry
 in Proceedings of the International Congress of Mathematicians
, 1994
"... Mirror Symmetry was discovered several years ago in string theory as a duality between families of 3dimensional CalabiYau manifolds (more precisely, complex algebraic manifolds possessing holomorphic volume elements without zeroes). The name comes from the symmetry among Hodge numbers. For dual Ca ..."
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Mirror Symmetry was discovered several years ago in string theory as a duality between families of 3dimensional CalabiYau manifolds (more precisely, complex algebraic manifolds possessing holomorphic volume elements without zeroes). The name comes from the symmetry among Hodge numbers. For dual
Algebraic cycles on Jacobian varieties
 Compos. Math
"... Let C be a compact Riemann surface of genus g. Its Jacobian variety J carries a number of natural subvarieties, defined up to translation: first of all the curve C embeds into J, then we can use the group law in J to form W2 = C + C, ..."
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Let C be a compact Riemann surface of genus g. Its Jacobian variety J carries a number of natural subvarieties, defined up to translation: first of all the curve C embeds into J, then we can use the group law in J to form W2 = C + C,
Torsion algebraic cycles and complex cobordism
 J. Amer. Math. Soc
, 1997
"... Atiyah and Hirzebruch gave the first counterexamples to the Hodge conjecture with integer coefficients. In particular, there is a smooth complex projective variety X of dimension 7 and a torsion element of H4 (X,Z) which is not the class of a codimension2 algebraic cycle [4]. In this paper, we prov ..."
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Atiyah and Hirzebruch gave the first counterexamples to the Hodge conjecture with integer coefficients. In particular, there is a smooth complex projective variety X of dimension 7 and a torsion element of H4 (X,Z) which is not the class of a codimension2 algebraic cycle [4]. In this paper, we
Filtrations on Algebraic Cycles and Homology
"... In recent years, there has been a renewed interest in obtaining invariants for an algebraic variety X using the Chow monoid Cr(X) of effective rcycles on X. This began with the fundamental paper of Blaine Lawson [L] which introduced in the context of complex projective algebraic varieties the study ..."
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Cited by 10 (4 self)
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In recent years, there has been a renewed interest in obtaining invariants for an algebraic variety X using the Chow monoid Cr(X) of effective rcycles on X. This began with the fundamental paper of Blaine Lawson [L] which introduced in the context of complex projective algebraic varieties
ALGEBRAIC CYCLES AND ADDITIVE DILOGARITHM
, 2007
"... For an algebraically closed field k of characteristic 0, we give a cycletheoretic description of the additive 4term motivic exact sequence associated to the additive dilogarithm of J.L. Cathelineau, that is the derivative of the BlochWigner function, via the cubical additive higher Chow groups u ..."
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For an algebraically closed field k of characteristic 0, we give a cycletheoretic description of the additive 4term motivic exact sequence associated to the additive dilogarithm of J.L. Cathelineau, that is the derivative of the BlochWigner function, via the cubical additive higher Chow groups
Results 1  10
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149,425