Fundamental group of some genus-2 fibrations and applications
type: Item
instance of: scholarly article
zbMATH Open document ID: 1252.14017
DOI: 10.1142/S0129167X12500802
author: Rajendra Gurjar
author: Sagar Kolte
published in: International Journal of Mathematics
publication date: 2012-08-30T00:00:00Z
full work available at URL: https://arxiv.org/abs/1512.08839
Mathematics Subject Classification ID: 14F35
Mathematics Subject Classification ID: 14H30
zbMATH DE Number: 6074257
zbMATH Keywords: Genus-2 fibration
zbMATH Keywords: fundamental group
zbMATH Keywords: holomorphic convexity
MaRDI profile type: Publication
arXiv ID: 1512.08839
cites work: Simultaneous uniformization
cites work: Invariants of Finite Groups Generated by Reflections
cites work: Some results in local rings on ramification in low codimension
cites work: Two remarks on the topology of projective surfaces
cites work: On the Shafarevich conjecture for genus-2 fibrations
cites work: The complete classification of fibres in pencils of curves of genus two
cites work: Convexity properties of coverings of smooth projective varieties
cites work: On pencils of curves of genus two
cites work: Eigentliche holomorphe Abbildungen
cites work: π1 OF ELLIPTIC AND HYPERELLIPTIC SURFACES
OpenAlex ID: W3103751944
title: Fundamental group of some genus-2 fibrations and applications
review text: The paper under review deals with relatively minimal genus-2 fibration \(f:X\longrightarrow C\) where \(X\) is a smooth projective surface and \(C\) is a smooth projective curve. In particular the authors compute the fundamental group \(\pi_1(X)\), analyzing the singular fibres and using the short exact sequence NEWLINE\[NEWLINE \pi_1(F)\rightarrow \pi_1(X)\rightarrow\pi_1(C)\rightarrow (1). NEWLINE\]NEWLINE The result is also used to verify Shafarevic's conjecture when \(b_1(X)>b_1(C)\).
reviewed by: Eleonora Palmieri
description: scientific article; zbMATH DE number 6074257