Chow groups of conic bundles in $\mathbb P^5$ and the Generalised Bloch's conjecture

zbMath1467.14013arXiv1705.07766MaRDI QIDQ5003751

Kalyan Banerjee

Publication date: 29 July 2021

Full work available at URL: https://arxiv.org/abs/1705.07766

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Surfaces of general type (14J29) Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (Equivariant) Chow groups and rings; motives (14C15)

Cites Work

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• Stable maps and Chow groups
• Rational equivalence of zero cycles for some more surfaces with \(p_ g=0\)
• Rational equivalence of 0-cycles on some surfaces of general type with \(p_g=0\)
• Quintic surfaces of \(\mathbb{P}^ 3\) having a non-singular model with \(q=p_ g=0\), \(P_ 2\neq 0\)
• The torsion of the group of 0-cycles modulo rational equivalence
• Symplectic involutions of \(K3\) surfaces act trivially on \(\mathrm{CH}_0\)
• Bloch's conjecture for Catanese and Barlow surfaces
• Rational equivalence of O-cycles on surfaces
• Algebraic Cycles on Quadric Sections of Cubics in ℙ⁴under the Action of Symplectomorphisms
• Some surfaces of general type for which Bloch's conjecture holds
• A simply connected numerical Godeaux surface with ample canonical class
• RATIONAL EQUIVALENCE OF ZERO-CYCLES

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