Restrictions on the prime-to- $p$ fundamental group of a smooth projective variety

Publisher： Cambridge University Press

E-ISSN： 1570-5846|151|6|1083-1095

ISSN： 0010-437x

Source： Compositio Mathematica, Vol.151, Iss.6, 2015-06, pp. : 1083-1095

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

The goal of this paper is to obtain restrictions on the prime-to- $p$ quotient of the étale fundamental group of a smooth projective variety in characteristic $p\geqslant 0$ . The results are analogues of some theorems from the study of Kähler groups. Our first main result is that such groups are indecomposable under coproduct. The second result gives a classification of the pro- $\ell$ parts of one-relator groups in this class.

Related content

The motivic fundamental group of the punctured projective line

By  

Journal of K-Theory, Vol. 7, Iss. 1, 2010-04 ,pp. : 19-53 (35)

Cambridge University Press

Access to resources Recommend Favorite

The Autotopism Group of A Semifield of Order p4, p is an Odd Prime

By Al-Ali Mashhour   Al-Hasanat Bilal  

Communications in Algebra, Vol. 37, Iss. 4, 2009-04 ,pp. : 1240-1247 (8)

Taylor & Francis Ltd

Access to resources Recommend Favorite

Smooth Projective Planes

By Mckay Benjamin  

Geometriae Dedicata, Vol. 116, Iss. 1, 2005-12 ,pp. : 157-202 (46)

Springer Publishing Company

Access to resources Recommend Favorite

GENERALIZATIONS OF THE FUNDAMENTAL THEOREM OF PROJECTIVE GEOMETRY

By  

Bulletin of the Australian Mathematical Society, Vol. 80, Iss. 2, 2009-10 ,pp. : 350-352 (3)

Cambridge University Press

Access to resources Recommend Favorite

On the center of the ring of differential operators on a smooth variety over ℤ/p n ℤ

By  

Compositio Mathematica, Vol. 149, Iss. 1, 2013-01 ,pp. : 63-80 (18)

Cambridge University Press

Access to resources Recommend Favorite