Bloch's conjecture on surfaces of general type with $p_g=q=0, K^2=3$ and with an involution
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913788711665664 |
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| author | Banerjee, Kalyan |
| author_facet | Banerjee, Kalyan |
| contents | In this short note we prove that an involution on certain examples of surfaces of general type with $p_g=0=q, K^2=3$, 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 bi-rational to an Enriques surface or to a surface of Kodaira dimension one and show that the Bloch conjecture holds for such surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_08303 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bloch's conjecture on surfaces of general type with $p_g=q=0, K^2=3$ and with an involution Banerjee, Kalyan Algebraic Geometry 14C25 In this short note we prove that an involution on certain examples of surfaces of general type with $p_g=0=q, K^2=3$, 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 bi-rational to an Enriques surface or to a surface of Kodaira dimension one and show that the Bloch conjecture holds for such surfaces. |
| title | Bloch's conjecture on surfaces of general type with $p_g=q=0, K^2=3$ and with an involution |
| topic | Algebraic Geometry 14C25 |
| url | https://arxiv.org/abs/2504.08303 |