Pulling back Cartier structures along regular maps
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918465765376000 |
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| author | Carvajal-Rojas, Javier Stäbler, Axel |
| author_facet | Carvajal-Rojas, Javier Stäbler, Axel |
| contents | We introduce a framework for pulling back Cartier modules and their associated invariants along regular $F$-finite morphisms. To achieve this, we construct a relative Cartier isomorphism and operator for an arbitrary regular $F$-finite map of locally noetherian schemes. As an application, we obtain new results on the constancy regions of mixed test ideals, based on the work of Felipe Pérez. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_18568 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Pulling back Cartier structures along regular maps Carvajal-Rojas, Javier Stäbler, Axel Algebraic Geometry Commutative Algebra 13A35, 14B25 We introduce a framework for pulling back Cartier modules and their associated invariants along regular $F$-finite morphisms. To achieve this, we construct a relative Cartier isomorphism and operator for an arbitrary regular $F$-finite map of locally noetherian schemes. As an application, we obtain new results on the constancy regions of mixed test ideals, based on the work of Felipe Pérez. |
| title | Pulling back Cartier structures along regular maps |
| topic | Algebraic Geometry Commutative Algebra 13A35, 14B25 |
| url | https://arxiv.org/abs/2604.18568 |