The algebraic fundamental group of a reductive group scheme over an arbitrary base scheme
Mikhail Borovoi; Cristian González-Avilés
Open Mathematics (2014)
- Volume: 12, Issue: 4, page 545-558
- ISSN: 2391-5455
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topMikhail Borovoi, and Cristian González-Avilés. "The algebraic fundamental group of a reductive group scheme over an arbitrary base scheme." Open Mathematics 12.4 (2014): 545-558. <http://eudml.org/doc/269255>.
@article{MikhailBorovoi2014,
abstract = {We define the algebraic fundamental group π 1(G) of a reductive group scheme G over an arbitrary non-empty base scheme and show that the resulting functor G↦ π1(G) is exact.},
author = {Mikhail Borovoi, Cristian González-Avilés},
journal = {Open Mathematics},
keywords = {Reductive group scheme; Algebraic fundamental group; reductive group scheme; algebraic fundamental group},
language = {eng},
number = {4},
pages = {545-558},
title = {The algebraic fundamental group of a reductive group scheme over an arbitrary base scheme},
url = {http://eudml.org/doc/269255},
volume = {12},
year = {2014},
}
TY - JOUR
AU - Mikhail Borovoi
AU - Cristian González-Avilés
TI - The algebraic fundamental group of a reductive group scheme over an arbitrary base scheme
JO - Open Mathematics
PY - 2014
VL - 12
IS - 4
SP - 545
EP - 558
AB - We define the algebraic fundamental group π 1(G) of a reductive group scheme G over an arbitrary non-empty base scheme and show that the resulting functor G↦ π1(G) is exact.
LA - eng
KW - Reductive group scheme; Algebraic fundamental group; reductive group scheme; algebraic fundamental group
UR - http://eudml.org/doc/269255
ER -
References
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- [9] González-Avilés C.D., Abelian class groups of reductive group schemes, Israel J. Math., 2013, 196(1), 175–214 http://dx.doi.org/10.1007/s11856-012-0147-4 Zbl1278.14064
- [10] González-Avilés C.D., Flasque resolutions of reductive group schemes, Cent. Eur. J. Math., 2013, 11(7), 1159–1176 http://dx.doi.org/10.2478/s11533-013-0235-7 Zbl1273.14090
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