Rational equivalence of zero cycles for some more surfaces with \(p_ g=0\)

DOI10.1007/BF01388975zbMath0584.14002MaRDI QIDQ1070293

Rebecca Barlow

Publication date: 1985

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143197

zbMATH Keywords

Bloch conjectureCatanese surfacegroup of rational equivalence classes of zero-cycles of degree zerosimply connected surface of general type with \(p_ g=0\)

Mathematics Subject Classification ID

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

Related Items (19)

Smooth affine varieties and complete intersections ⋮ Bloch’s conjecture for Inoue surfaces with $p_g=0$, $K^2 = 7$ ⋮ Chow groups of conic bundles in $\mathbb P^5$ and the Generalised Bloch's conjecture ⋮ Complete intersections and rational equivalence ⋮ On symplectic automorphisms of elliptic surfaces acting on \(\mathrm{CH}_0\) ⋮ Transcendence degree of zero-cycles and the structure of Chow motives ⋮ 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 \(K^2 = 7\) ⋮ Determinantal Barlow surfaces and phantom categories ⋮ The arithmetic of zero cycles on surfaces with geometric genus and irregularity zero ⋮ A simply connected surface of general type with \(p_ g=0\) ⋮ BLOCH-TYPE CONJECTURES AND AN EXAMPLE A THREE-FOLD OF GENERAL TYPE ⋮ Bloch's conjecture for generalized Burniat type surfaces with \(p_g=0\) ⋮ Voisin's conjecture for zero-cycles on Calabi-Yau varieties and their mirrors ⋮ Surfaces of general type with geometric genus zero: a survey ⋮ Cycles, derived categories, and rationality ⋮ Kulikov surfaces form a connected component of the moduli space ⋮ \(\mathbb A^1\)-connectivity on Chow monoids versus rational equivalence of algebraic cycles ⋮ On finite dimensionality of Chow groups

Cites Work

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• Rational equivalence of 0-cycles on some surfaces of general type with \(p_g=0\)
• Babbage's conjecture, contact of surfaces, symmetric determinantal varieties and applications
• The Hilbert modular group for the field \(\mathbb Q(\sqrt{13})\)
• A simply connected surface of general type with \(p_ g=0\)
• Rational equivalence of O-cycles on surfaces
• Rationale Singularitäten komplexer Flächen

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