Good reduction of algebraic groups and flag varieties

A. Javanpeykar; D. Loughran

doi:10.1007/s00013-015-0728-7

Good reduction of algebraic groups and flag varieties

A. Javanpeykar, D. Loughran^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

443 Downloads (Pure)

Abstract

In 1983, Faltings proved that there are only finitely many abelian varieties over a number field of fixed dimension and with good reduction outside a given set of places. In this paper, we consider the analogous problem for other algebraic groups and their homogeneous spaces, such as flag varieties.

Original language	English
Pages (from-to)	133-143
Number of pages	11
Journal	Archiv der Mathematik
Volume	104
Issue number	2
DOIs	https://doi.org/10.1007/s00013-015-0728-7
Publication status	Published - 1 Feb 2015

Keywords

14L15 (11E72, 14G25)

Access to Document

10.1007/s00013-015-0728-7

FlagsAccepted author manuscript, 302 KB

Cite this

@article{071796e7141f4b34bae0624d058ce658,

title = "Good reduction of algebraic groups and flag varieties",

abstract = "In 1983, Faltings proved that there are only finitely many abelian varieties over a number field of fixed dimension and with good reduction outside a given set of places. In this paper, we consider the analogous problem for other algebraic groups and their homogeneous spaces, such as flag varieties.",

keywords = "14L15 (11E72, 14G25)",

author = "A. Javanpeykar and D. Loughran",

year = "2015",

month = feb,

day = "1",

doi = "10.1007/s00013-015-0728-7",

language = "English",

volume = "104",

pages = "133--143",

journal = "Archiv der Mathematik",

issn = "0003-889X",

publisher = "Birkh{\"a}user Verlag Ag",

number = "2",

}

TY - JOUR

T1 - Good reduction of algebraic groups and flag varieties

AU - Javanpeykar, A.

AU - Loughran, D.

PY - 2015/2/1

Y1 - 2015/2/1

N2 - In 1983, Faltings proved that there are only finitely many abelian varieties over a number field of fixed dimension and with good reduction outside a given set of places. In this paper, we consider the analogous problem for other algebraic groups and their homogeneous spaces, such as flag varieties.

AB - In 1983, Faltings proved that there are only finitely many abelian varieties over a number field of fixed dimension and with good reduction outside a given set of places. In this paper, we consider the analogous problem for other algebraic groups and their homogeneous spaces, such as flag varieties.

KW - 14L15 (11E72, 14G25)

UR - https://www.scopus.com/pages/publications/84925496407

U2 - 10.1007/s00013-015-0728-7

DO - 10.1007/s00013-015-0728-7

M3 - Article

AN - SCOPUS:84925496407

SN - 0003-889X

VL - 104

SP - 133

EP - 143

JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 2

ER -

Good reduction of algebraic groups and flag varieties

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this