Abstract:
Let X⊂ℙN be either a threefold of Calabi–Yau or of general type (embedded with r K X ). In this article we give lower and upper bounds, linear on the degree of X and N, for the Euler number of X. As a corollary we obtain the boundedness of the region described by the Chern ratios of threefolds with ample canonical bundle and a new upper bound for the number of nodes of a complete intersection threefold.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: 26 April 2000 / Revised version: 20 November 2000
Rights and permissions
About this article
Cite this article
Chang, MC., Lopez, A. A linear bound on the Euler number of threefolds of Calabi–Yau and of general type. manuscripta math. 105, 47–67 (2001). https://doi.org/10.1007/PL00005873
Issue Date:
DOI: https://doi.org/10.1007/PL00005873