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arxiv: 1705.10713 · v4 · pith:AQYAOUUXnew · submitted 2017-05-30 · 🧮 math.AG

Bloch's conjecture on surfaces of general type with an involution

classification 🧮 math.AG
keywords typeinvolutionsurfaceblochconjecturegeneralnumericalcampedelli
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In this short note we prove that the Bloch's conjecture holds for a surface of general type of numerical Godeaux type or some class of numerical Campedelli type, with geometric genus zero equipped with an involution, when the quotient of the surface by the involution is a rational surface.

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  1. Involutions on algebraic surfaces and the Generalised Bloch's conjecture

    math.AG 2019-06 unverdicted novelty 3.0

    Studies the action of an involution on the Chow group of zero-cycles of a smooth projective surface in relation to the generalised Bloch's conjecture.