Saturated base change of toroidal morphisms
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908546823618560 |
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| author | Qu, Santai |
| author_facet | Qu, Santai |
| contents | We show that saturated base change of a dominant toroidal morphism is also toroidal. For completeness, we give full details on equivalence between definitions regarding toroidal embeddings and toroidal morphisms in literature. Moreover, we show in detail the equivalence between toroidal embeddings and logarithmically regular log-varieties, respectively, toroidal morphisms and logarithmically smooth morphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_15590 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Saturated base change of toroidal morphisms Qu, Santai Algebraic Geometry 14A21, 14D06, 14M25 We show that saturated base change of a dominant toroidal morphism is also toroidal. For completeness, we give full details on equivalence between definitions regarding toroidal embeddings and toroidal morphisms in literature. Moreover, we show in detail the equivalence between toroidal embeddings and logarithmically regular log-varieties, respectively, toroidal morphisms and logarithmically smooth morphisms. |
| title | Saturated base change of toroidal morphisms |
| topic | Algebraic Geometry 14A21, 14D06, 14M25 |
| url | https://arxiv.org/abs/2509.15590 |