Rational equivalence of 0-cycles on some surfaces of general type with \(p_g=0\)

DOI10.1007/BF01420343zbMath0444.14006MaRDI QIDQ1144614

S. H. Smith

Publication date: 1979

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163301

zbMATH Keywords

Kodaira dimensionsurfaces of general typeBurniat surfaceGodeaux surfaceAlbanese varietyInoue surfaceCampedelli surfaceszero-cycles modulo rational equivalence

Mathematics Subject Classification ID

Algebraic cycles (14C25) Special surfaces (14J25) (Equivariant) Chow groups and rings; motives (14C15)

Related Items (22)

Smooth affine varieties and complete intersections ⋮ Bloch’s conjecture for Inoue surfaces with $p_g=0$, $K^2 = 7$ ⋮ Geometric phantom categories ⋮ Chow groups of conic bundles in $\mathbb P^5$ and the Generalised Bloch's conjecture ⋮ Complete intersections and rational equivalence ⋮ Derived categories of Burniat surfaces and exceptional collections ⋮ On the integral Tate conjecture for the product of a curve and a \(CH_0\)-trivial surface over a finite field ⋮ On symplectic automorphisms of elliptic surfaces acting on \(\mathrm{CH}_0\) ⋮ Transcendence degree of zero-cycles and the structure of Chow motives ⋮ Burniat-type surfaces and a new family of surfaces with \(p_g=0,K^2=3\) ⋮ A new family of surfaces of general type with \(K^2 = 7\) and \(p_g = 0\) ⋮ A two-dimensional family of surfaces of general type with \(p_g = 0\) and \(K^2 = 7\) ⋮ The arithmetic of zero cycles on surfaces with geometric genus and irregularity zero ⋮ Burniat surfaces. II: Secondary Burniat surfaces form three connected components of the moduli space ⋮ BLOCH-TYPE CONJECTURES AND AN EXAMPLE A THREE-FOLD OF GENERAL TYPE ⋮ Bloch's conjecture for generalized Burniat type surfaces with \(p_g=0\) ⋮ Some remarks on zero cycles on Abelian varieties ⋮ Surfaces of general type with geometric genus zero: a survey ⋮ Unnamed Item ⋮ Kulikov surfaces form a connected component of the moduli space ⋮ Rational equivalence of zero cycles for some more surfaces with \(p_ g=0\) ⋮ On finite dimensionality of Chow groups

Cites Work

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• Some elementary theorems about algebraic cycles on Abelian varieties
• Sur les surfaces de genre \(P_{12} > 1\)
• Rational equivalence of O-cycles on surfaces
• K₂of artinian Q-algebras, with application to algebraic cycles
• On certain examples of surfaces with p_g = 0 Due to Burniat

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