Two extremal elliptic fibrations on Jacobian Kummer surfaces
type: Item
instance of: scholarly article
title: Two extremal elliptic fibrations on Jacobian Kummer surfaces
zbMATH Open document ID: 0880.14018
DOI: 10.1007/BF02567961
author: Jonghae Keum
published in: Manuscripta Mathematica
publication date: 1997-04-13T00:00:00Z
full work available at URL: https://eudml.org/doc/156236
review text: In this note one studies the minimal resolution \(\widehat F\) of a quartic \(F\) in \({\mathbb{P}}^3\) with \(16\) nodes. The title of the paper is motivated by the fact that \(\widehat F\) is isomorphic to the Kummer surface of the Jacobian of a certain genus 2 curve. For Picard number of \(\widehat F =16\) (this happens generically) one shows that \(\widehat F\) admits an irreducible elliptic fibration and it admits also a most reducible elliptic fibration.
reviewed by: Nicolae Manolache
Mathematics Subject Classification ID: 14J28
Mathematics Subject Classification ID: 14H40
Mathematics Subject Classification ID: 14D99
Mathematics Subject Classification ID: 14B05
zbMATH DE Number: 980737
zbMATH Keywords: Picard number
zbMATH Keywords: elliptic fibration
zbMATH Keywords: genus
zbMATH Keywords: Kummer surface
zbMATH Keywords: K3 surface
zbMATH Keywords: Jacobian
zbMATH Keywords: node of a surface
MaRDI profile type: Publication
cites work: Q5623829
cites work: On elliptic modular surfaces
OpenAlex ID: W4246345239
description: scientific article; zbMATH DE number 980737