Isomorphism of étale fundamental groups lifts to isomorphism of stratified fundamental group
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866916778363322368 |
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| author | Biswas, Indranil Kumar, Manish Parameswaran, A. J. |
| author_facet | Biswas, Indranil Kumar, Manish Parameswaran, A. J. |
| contents | It is shown that if a finite generically smooth morphism $f\,:\,Y\,\longrightarrow\, X$ of smooth projective varieties induces an isomorphism of the étale fundamental groups, then the induced map of the stratified fundamental groups $π_1^{str}(f)\, :\, π_1^{str}(Y,\, y)\,\longrightarrow\, π_1^{str}(X,\, f(y))$ is also an isomorphism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_03829 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Isomorphism of étale fundamental groups lifts to isomorphism of stratified fundamental group Biswas, Indranil Kumar, Manish Parameswaran, A. J. Algebraic Geometry 14H30, 14G17, 14H60, 14J60 It is shown that if a finite generically smooth morphism $f\,:\,Y\,\longrightarrow\, X$ of smooth projective varieties induces an isomorphism of the étale fundamental groups, then the induced map of the stratified fundamental groups $π_1^{str}(f)\, :\, π_1^{str}(Y,\, y)\,\longrightarrow\, π_1^{str}(X,\, f(y))$ is also an isomorphism. |
| title | Isomorphism of étale fundamental groups lifts to isomorphism of stratified fundamental group |
| topic | Algebraic Geometry 14H30, 14G17, 14H60, 14J60 |
| url | https://arxiv.org/abs/2506.03829 |