pg=0且有对合的一般型曲面上的Bloch猜想：Enriques情形

IF 0.8 4区数学 Q3 MATHEMATICS

Indagationes Mathematicae-New Series Pub Date : 2025-04-15 DOI:10.1016/j.indag.2025.04.002

Kalyan Banerjee

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引用次数: 0

摘要

在这篇简短的笔记中，我们证明了在pg=0的一般型曲面的某些例子上的对合，在相关曲面的零环的Chow群上起恒等作用。特别地，我们考虑了商为Enriques曲面时的这种曲面的例子，并证明了布洛赫猜想对这种曲面成立。

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Bloch’s conjecture on certain surfaces of general type with pg=0 and with an involution: The Enriques case

In this short note we prove that an involution on certain examples of surfaces of general type with

p_{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 conjecture holds for such surfaces.

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来源期刊

Indagationes Mathematicae-New Series 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

79 days

期刊介绍： Indagationes Mathematicae is a peer-reviewed international journal for the Mathematical Sciences of the Royal Dutch Mathematical Society. The journal aims at the publication of original mathematical research papers of high quality and of interest to a large segment of the mathematics community. The journal also welcomes the submission of review papers of high quality.