Minimal varieties with trivial canonical classes. I
type: Item
instance of: scholarly article
title: Minimal varieties with trivial canonical classes. I
zbMATH Open document ID: 0815.14009
DOI: 10.1007/BF02571950
author: Thomas Peternell
published in: Mathematische Zeitschrift
publication date: 1995-03-27T00:00:00Z
full work available at URL: https://eudml.org/doc/174696
review text: The aim of this paper is to study projective or Kähler manifolds with Kodaira dimension 0 via their minimal models (if they exist), in other words: minimal varieties with numerically trivial canonical classes are investigated. The final aim would be to prove a birational analogon to the decomposition of compact Kähler manifolds \(X\) with \(c_ 1(X) = 0\). This paper gives some special results and works out some technical conjecture concerning the existence of special connection which would prove a large part of the conjectured birational decomposition.
Mathematics Subject Classification ID: 14E30
Mathematics Subject Classification ID: 32J15
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 57R20
Mathematics Subject Classification ID: 32J25
zbMATH DE Number: 737169
zbMATH Keywords: minimal varieties
zbMATH Keywords: trivial canonical classes
zbMATH Keywords: decomposition of compact Kähler manifolds
MaRDI profile type: Publication
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OpenAlex ID: W2045859359
description: scientific article; zbMATH DE number 737169