The homotopy sequence for regular singular stratified bundles
A separable proper morphism of varieties with geometrically connected fibers induces a homotopy exact sequence relating the etale fundamental groups of source, target and fiber. Extending work of dos Santos, we prove the existence of an analogous homotopy exact sequence for fundamental group schemes...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
2019
|
| In: |
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze
Year: 2019, Volume: 19, Issue: 3, Pages: 869-888 |
| ISSN: | 2036-2145 |
| DOI: | 10.2422/2036-2145.201701_007 |
| Online Access: | Verlag, Volltext: https://doi.org/10.2422/2036-2145.201701_007 |
| Author Notes: | Giulia Battiston, Lars Kindler |
MARC
| LEADER | 00000caa a22000002c 4500 | ||
|---|---|---|---|
| 001 | 1684399823 | ||
| 003 | DE-627 | ||
| 005 | 20220817174745.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 191205s2019 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.2422/2036-2145.201701_007 |2 doi | |
| 035 | |a (DE-627)1684399823 | ||
| 035 | |a (DE-599)KXP1684399823 | ||
| 035 | |a (OCoLC)1341280545 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Battiston, Giulia |e VerfasserIn |0 (DE-588)1154541738 |0 (DE-627)1015926584 |0 (DE-576)501088822 |4 aut | |
| 245 | 1 | 4 | |a The homotopy sequence for regular singular stratified bundles |c Giulia Battiston, Lars Kindler |
| 264 | 1 | |c 2019 | |
| 300 | |a 20 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 05.12.2019 | ||
| 520 | |a A separable proper morphism of varieties with geometrically connected fibers induces a homotopy exact sequence relating the etale fundamental groups of source, target and fiber. Extending work of dos Santos, we prove the existence of an analogous homotopy exact sequence for fundamental group schemes classifying regular singular stratified bundles, under the additional assumption that the morphism in question can be (partially) compactified to a log smooth morphism. | ||
| 700 | 1 | |a Kindler, Lars |e VerfasserIn |0 (DE-588)1201122708 |0 (DE-627)1684402050 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |a Scuola Normale Superiore. Classe di Scienze |t Annali della Scuola Normale Superiore di Pisa, Classe di Scienze |d Pisa : Scuola Normale Superiore, 1871 |g 19(2019), 3, Seite 869-888 |h Online-Ressource |w (DE-627)548127107 |w (DE-600)2393380-X |w (DE-576)279225717 |x 2036-2145 |7 nnas |
| 773 | 1 | 8 | |g volume:19 |g year:2019 |g number:3 |g pages:869-888 |g extent:20 |a The homotopy sequence for regular singular stratified bundles |
| 856 | 4 | 0 | |u https://doi.org/10.2422/2036-2145.201701_007 |x Verlag |x Resolving-System |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20191205 | ||
| 993 | |a Article | ||
| 994 | |a 2019 | ||
| 998 | |g 1154541738 |a Battiston, Giulia |m 1154541738:Battiston, Giulia |d 110000 |d 110100 |d 110000 |d 110400 |e 110000PB1154541738 |e 110100PB1154541738 |e 110000PB1154541738 |e 110400PB1154541738 |k 0/110000/ |k 1/110000/110100/ |k 0/110000/ |k 1/110000/110400/ |p 1 |x j | ||
| 999 | |a KXP-PPN1684399823 |e 3556971194 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"recId":"1684399823","language":["eng"],"note":["Gesehen am 05.12.2019"],"type":{"media":"Online-Ressource","bibl":"article-journal"},"person":[{"family":"Battiston","given":"Giulia","display":"Battiston, Giulia","roleDisplay":"VerfasserIn","role":"aut"},{"role":"aut","roleDisplay":"VerfasserIn","display":"Kindler, Lars","given":"Lars","family":"Kindler"}],"title":[{"title_sort":"homotopy sequence for regular singular stratified bundles","title":"The homotopy sequence for regular singular stratified bundles"}],"relHost":[{"title":[{"title":"Annali della Scuola Normale Superiore di Pisa, Classe di Scienze","title_sort":"Annali della Scuola Normale Superiore di Pisa, Classe di Scienze"}],"pubHistory":["1.Ser. 1.1871 - 16.1930,5; 2.Ser. 1.1932 - 15.1946(1950); 3.Ser. 1.1947(1949) - 27.1973; 4.Ser. 1.1974 - 30.2001; 5.Ser. 1.2002 -"],"titleAlt":[{"title":"Annali della R. Scuola Normale Superiore di Pisa, Classe di Scienze Fisiche e Matematiche"},{"title":"Annali della R. Scuola Normale Superiore Universitaria di Pisa, Classe di Scienze Fisiche e Matematiche"},{"title":"Scienze fisiche e matematiche"}],"part":{"issue":"3","pages":"869-888","year":"2019","extent":"20","text":"19(2019), 3, Seite 869-888","volume":"19"},"disp":"Scuola Normale Superiore. Classe di ScienzeAnnali della Scuola Normale Superiore di Pisa, Classe di Scienze","type":{"bibl":"periodical","media":"Online-Ressource"},"note":["Gesehen am 27.09.2024"],"recId":"548127107","corporate":[{"display":"Scuola Normale Superiore","roleDisplay":"VerfasserIn","role":"aut"},{"role":"isb","display":"Scuola Normale Superiore","roleDisplay":"Herausgebendes Organ"}],"language":["ita"],"origin":[{"publisherPlace":"Pisa","dateIssuedDisp":"1871-","publisher":"Scuola Normale Superiore","dateIssuedKey":"1871"}],"id":{"issn":["2036-2145"],"eki":["548127107"],"zdb":["2393380-X"]},"name":{"displayForm":["pubbl. a cura dei professori della Scuola Normale e dell'Università di Pisa"]},"physDesc":[{"extent":"Online-Ressource"}]}],"physDesc":[{"extent":"20 S."}],"name":{"displayForm":["Giulia Battiston, Lars Kindler"]},"id":{"eki":["1684399823"],"doi":["10.2422/2036-2145.201701_007"]},"origin":[{"dateIssuedDisp":"2019","dateIssuedKey":"2019"}]} | ||
| SRT | |a BATTISTONGHOMOTOPYSE2019 | ||