Bloch's conjecture for generalized Burniat type surfaces with \(p_g=0\)

DOI10.1007/s12215-014-0176-4zbMath1330.14009arXiv1408.0760OpenAlexW2072923442WikidataQ122901146 ScholiaQ122901146MaRDI QIDQ2517003

Davide Frapporti, Ingrid C. Bauer

Publication date: 5 August 2015

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.0760

zbMATH Keywords

Bloch conjectureBurniat type surfaces

Mathematics Subject Classification ID

Surfaces of general type (14J29) Algebraic cycles (14C25) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items

On symplectic automorphisms of elliptic surfaces acting on \(\mathrm{CH}_0\), A motivic study of generalized Burniat surfaces, Voisin's conjecture for zero-cycles on Calabi-Yau varieties and their mirrors

Cites Work

• Unnamed Item
• Unnamed Item
• Chow groups are finite dimensional, in some sense
• 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 \(p_g=0\)
• On deformations of quintic surfaces
• Some new surfaces of general type
• Burniat-type surfaces and a new family of surfaces with \(p_g=0,K^2=3\)
• Sur les surfaces de genre \(P_{12} > 1\)
• Canonical models of surfaces of general type
• Generalized Burniat type surfaces and Bagnera-de Franchis varieties
• Kulikov surfaces form a connected component of the moduli space
• Quotients of products of curves, new surfaces with <i>p_g</i> = 0 and their fundamental groups.
• Burniat surfaces I: fundamental groups and moduli of primary Burniat surfaces
• Bloch’s conjecture for Inoue surfaces with $p_g=0$, $K^2 = 7$
• K₂of artinian Q-algebras, with application to algebraic cycles
• Inoue type manifolds and Inoue surfaces: a connected component of the moduli space of surfaces with $K^2=7, p_g = 0$