Hasse-Schmidt derivations and locally trivial deformations in positive characteristic
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908680480358400 |
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| author | Miyamoto, Takuya |
| author_facet | Miyamoto, Takuya |
| contents | In this paper, we first study the lifting problem of Hasse-Schmidt derivations and then apply the results to the theory of locally trivial deformations of algebraic schemes in positive characteristic. As an application, we construct an algebraic curve whose locally trivial deformation functor does not satisfy Schlessinger's condition (H1). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00887 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hasse-Schmidt derivations and locally trivial deformations in positive characteristic Miyamoto, Takuya Algebraic Geometry Commutative Algebra In this paper, we first study the lifting problem of Hasse-Schmidt derivations and then apply the results to the theory of locally trivial deformations of algebraic schemes in positive characteristic. As an application, we construct an algebraic curve whose locally trivial deformation functor does not satisfy Schlessinger's condition (H1). |
| title | Hasse-Schmidt derivations and locally trivial deformations in positive characteristic |
| topic | Algebraic Geometry Commutative Algebra |
| url | https://arxiv.org/abs/2509.00887 |