Comparison of relatively unipotent log de Rham fundamental groups:
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
2023
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
volume 288, number 1430 (second of 6 numbers) |
| Links: | https://zbmath.org/7726551 |
| Abstract: | Summary: In this paper, we prove compatibilities of various definitions of relatively unipotent log de Rham fundamental groups for certain proper log smooth integral morphisms of fine log schemes of characteristic zero. Our proofs are purely algebraic. As an application, we give a purely algebraic calculation of the monodromy action on the unipotent log de Rham fundamental group of a stable log curve. As a corollary we give a purely algebraic proof to the transcendental part of Andreatta-Iovita-Kim’s article: obtaining in this way a complete algebraic criterion for good reduction for curves. |
| Beschreibung: | Literaturangaben |
| Umfang: | v, 111 Seiten |
| ISBN: | 9781470467067 |
Internformat
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| 100 | 1 | |a Chiarellotto, Bruno |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Comparison of relatively unipotent log de Rham fundamental groups |c Bruno Chiarellotto, Valentina Di Proietto, Atsushi Shiho |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 2023 | |
| 300 | |a v, 111 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v volume 288, number 1430 (second of 6 numbers) | |
| 500 | |a Literaturangaben | ||
| 520 | 3 | |a Summary: In this paper, we prove compatibilities of various definitions of relatively unipotent log de Rham fundamental groups for certain proper log smooth integral morphisms of fine log schemes of characteristic zero. Our proofs are purely algebraic. As an application, we give a purely algebraic calculation of the monodromy action on the unipotent log de Rham fundamental group of a stable log curve. As a corollary we give a purely algebraic proof to the transcendental part of Andreatta-Iovita-Kim’s article: obtaining in this way a complete algebraic criterion for good reduction for curves. | |
| 700 | 1 | |a Di Proietto, Valentina |e Verfasser |4 aut | |
| 700 | 1 | |a Shiho, Atsushi |e Verfasser |0 (DE-588)136289169 |4 aut | |
| 830 | 0 | |a Memoirs of the American Mathematical Society |v volume 288, number 1430 (second of 6 numbers) |w (DE-604)BV008000141 |9 1430 | |
| 856 | 4 | 2 | |u https://zbmath.org/7726551 |y zbMATH |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-034749272 | |
Datensatz im Suchindex
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| author | Chiarellotto, Bruno Di Proietto, Valentina Shiho, Atsushi |
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| id | DE-604.BV049421760 |
| illustrated | Not Illustrated |
| indexdate | 2025-01-11T13:43:44Z |
| institution | BVB |
| isbn | 9781470467067 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034749272 |
| oclc_num | 1407342998 |
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| owner_facet | DE-29T DE-11 DE-355 DE-BY-UBR |
| physical | v, 111 Seiten |
| publishDate | 2023 |
| publishDateSearch | 2023 |
| publishDateSort | 2023 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Chiarellotto, Bruno Verfasser aut Comparison of relatively unipotent log de Rham fundamental groups Bruno Chiarellotto, Valentina Di Proietto, Atsushi Shiho Providence, RI American Mathematical Society 2023 v, 111 Seiten txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society volume 288, number 1430 (second of 6 numbers) Literaturangaben Summary: In this paper, we prove compatibilities of various definitions of relatively unipotent log de Rham fundamental groups for certain proper log smooth integral morphisms of fine log schemes of characteristic zero. Our proofs are purely algebraic. As an application, we give a purely algebraic calculation of the monodromy action on the unipotent log de Rham fundamental group of a stable log curve. As a corollary we give a purely algebraic proof to the transcendental part of Andreatta-Iovita-Kim’s article: obtaining in this way a complete algebraic criterion for good reduction for curves. Di Proietto, Valentina Verfasser aut Shiho, Atsushi Verfasser (DE-588)136289169 aut Memoirs of the American Mathematical Society volume 288, number 1430 (second of 6 numbers) (DE-604)BV008000141 1430 https://zbmath.org/7726551 zbMATH |
| spellingShingle | Chiarellotto, Bruno Di Proietto, Valentina Shiho, Atsushi Comparison of relatively unipotent log de Rham fundamental groups Memoirs of the American Mathematical Society |
| title | Comparison of relatively unipotent log de Rham fundamental groups |
| title_auth | Comparison of relatively unipotent log de Rham fundamental groups |
| title_exact_search | Comparison of relatively unipotent log de Rham fundamental groups |
| title_full | Comparison of relatively unipotent log de Rham fundamental groups Bruno Chiarellotto, Valentina Di Proietto, Atsushi Shiho |
| title_fullStr | Comparison of relatively unipotent log de Rham fundamental groups Bruno Chiarellotto, Valentina Di Proietto, Atsushi Shiho |
| title_full_unstemmed | Comparison of relatively unipotent log de Rham fundamental groups Bruno Chiarellotto, Valentina Di Proietto, Atsushi Shiho |
| title_short | Comparison of relatively unipotent log de Rham fundamental groups |
| title_sort | comparison of relatively unipotent log de rham fundamental groups |
| url | https://zbmath.org/7726551 |
| volume_link | (DE-604)BV008000141 |
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