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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.05534 |
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| _version_ | 1866911571752517632 |
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| author | Behrend, Kai |
| author_facet | Behrend, Kai |
| contents | Recently, John Pardon proved the MNOP conjecture (on the GW-DT correspondence for CY3s) by introducing a new mathematical gadget, which we call the Pardon homology algebra of 1-cycles in 3-folds. We work out an analogous construction for 0-cycles in d-folds. This gives a new point of view on enumerative problems involving point-counting, such as, for example, the degree zero MNOP conjecture on the Hilbert scheme of points in projective 3-folds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_05534 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Pardon Algebra for Zero-cycles Behrend, Kai Algebraic Geometry 14N10 Recently, John Pardon proved the MNOP conjecture (on the GW-DT correspondence for CY3s) by introducing a new mathematical gadget, which we call the Pardon homology algebra of 1-cycles in 3-folds. We work out an analogous construction for 0-cycles in d-folds. This gives a new point of view on enumerative problems involving point-counting, such as, for example, the degree zero MNOP conjecture on the Hilbert scheme of points in projective 3-folds. |
| title | A Pardon Algebra for Zero-cycles |
| topic | Algebraic Geometry 14N10 |
| url | https://arxiv.org/abs/2604.05534 |