Higher dimensional analogues of Inoue-Hirzebruch surfaces
type: Item
instance of: scholarly article
title: Higher dimensional analogues of Inoue-Hirzebruch surfaces
zbMATH Open document ID: 0595.14031
DOI: 10.1007/BF01450846
published in: Mathematische Annalen
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164216
review text: The construction of Inoue-Hirzebruch surfaces is generalized to arbitrary dimension and the spaces so obtained are studied. Their rational homology is calculated and it is shown that they have no non-constant meromorphic functions. Their automorphism group and their finite quotients are described.
Mathematics Subject Classification ID: 14J40
Mathematics Subject Classification ID: 14L30
Mathematics Subject Classification ID: 32H25
zbMATH DE Number: 3957302
zbMATH Keywords: Inoue-Hirzebruch varieties
zbMATH Keywords: rational homology
zbMATH Keywords: no non-constant meromorphic functions
zbMATH Keywords: automorphism group
zbMATH Keywords: finite quotient
author: G. K. Sankaran
MaRDI profile type: Publication
cites work: Q5749404
cites work: Q3708977
cites work: THE GEOMETRY OF TORIC VARIETIES
cites work: Lokale und globale Invarianten der Hilbertschen Modulgruppe
cites work: Algebraische Eigenschaften der lokalen Ringe in den Spitzen der Hilbertschen Modulgruppen
cites work: Hilbert modular surfaces
cites work: Q4141335
cites work: Rational surfaces with an anti-canonical cycle
cites work: Q3691858
cites work: Tsuchihashi's cusp singularities and automorphisms of Hilbert modular variety cusps
cites work: Q3952239
cites work: Higher dimensional analogues of periodic continued fractions and cusp singularities
cites work: Q4771366
OpenAlex ID: W2084290549
description: scientific article; zbMATH DE number 3957302