English

Bloch's conjecture on certain surfaces of general type with $p_g=0$ and with an involution: the Enriques case

Algebraic Geometry 2022-02-07 v3

Abstract

In this short note we prove that an involution on certain examples of surfaces of general type with pg=0p_g=0, acts as identity on the Chow group of zero cycles of the relevant surface. In particular we consider examples of such surfaces when the quotient is an Enriques surface and show that the Bloch's conjecture holds for such surfaces.

Keywords

Cite

@article{arxiv.1705.03314,
  title  = {Bloch's conjecture on certain surfaces of general type with $p_g=0$ and with an involution: the Enriques case},
  author = {Kalyan Banerjee},
  journal= {arXiv preprint arXiv:1705.03314},
  year   = {2022}
}

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13 pages