Please use this identifier to cite or link to this item:
|Title:||Characterization of the 4-canonical birationality of algebraic threefolds|
|Citation:||Chen, M., Zhang, D.-Q. (2008-03). Characterization of the 4-canonical birationality of algebraic threefolds. Mathematische Zeitschrift 258 (3) : 565-585. ScholarBank@NUS Repository. https://doi.org/10.1007/s00209-007-0186-4|
|Abstract:||In this article we present a 3-dimensional analogue of a well-known theorem of Bombieri (Inst Hautes Etudes Sci Publ Math 42:171-219, 1973) which characterizes the bi-canonical birationality of surfaces of general type. Let X be a projective minimal threefold of general type with ℚ-factorial terminal singularities and the geometric genus p g X 5. We show that the 4-canonical map 4 is not birational onto its image if and only if X is birationally fibred by a family C of irreducible curves of geometric genus 2 with KXC 0 =1 where C 0 is a general irreducible member in C. © 2007 Springer-Verlag.|
|Source Title:||Mathematische Zeitschrift|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on May 20, 2018
WEB OF SCIENCETM
checked on Apr 24, 2018
checked on May 4, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.