Acyclic algebraic surfaces bounded by Seifert spheres
type: Item
instance of: scholarly article
title: Acyclic algebraic surfaces bounded by Seifert spheres
zbMATH Open document ID: 0911.14016
published in: Osaka Journal of Mathematics
publication date: 1998-01-11T00:00:00Z
review text: The author considers smooth connected algebraic surfaces such that: their logarithmic Kodaira dimension is equal to 2, \(H^i(X, \mathbb{Q}) = (0)\) for \(i > 0\), and topologically \(X\) has as a boundary a Seifert fibration having \(\mathbb{Q}\)-homologies of a 3-sphere. He proves that \(H^i(X,\mathbb{Z})\) is not trivial for \(i > 0\) and the number \(r\) of the multiple fibers of the Seifert fibration satisfies \(r < 17\).
Mathematics Subject Classification ID: 14J10
Mathematics Subject Classification ID: 14D99
zbMATH DE Number: 1080377
zbMATH Keywords: algebraic surfaces
zbMATH Keywords: Kodaira dimension
zbMATH Keywords: Seifert fibration
author: Stepan Orevkov
reviewed by: A. N. Parshin
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1080377