$K$-Equivalence and Integral Cohomology
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911412169736192 |
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| author | Satriano, Matthew Sundbo, Evan |
| author_facet | Satriano, Matthew Sundbo, Evan |
| contents | We introduce an integral version of the Hodge polynomial, which encodes the integral cohomology of smooth projective varieties. We prove it extends to a function which is well-defined on the Grothendieck ring of varieties and we obtain as a consequence that $K$-equivalent smooth projective varieties have isomorphic integral cohomology groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_22085 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $K$-Equivalence and Integral Cohomology Satriano, Matthew Sundbo, Evan Algebraic Geometry We introduce an integral version of the Hodge polynomial, which encodes the integral cohomology of smooth projective varieties. We prove it extends to a function which is well-defined on the Grothendieck ring of varieties and we obtain as a consequence that $K$-equivalent smooth projective varieties have isomorphic integral cohomology groups. |
| title | $K$-Equivalence and Integral Cohomology |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2601.22085 |