On 6-canonical map of irregular threefolds of general type
Jungkai Chen, Meng Chen, and Zhi Jiang
TL;DR
This paper proves that for any smooth, irregular three-dimensional algebraic variety of general type, the sixth canonical map is birational onto its image, confirming a key property of these complex structures.
Contribution
It establishes the birationality of the 6-canonical map for all nonsingular projective irregular threefolds of general type, a significant advance in classification theory.
Findings
The 6-canonical map is birational for all such threefolds.
Confirms conjectures about the behavior of canonical maps in higher dimensions.
Provides tools for further classification of irregular threefolds.
Abstract
We prove that, for any nonsingular projective irregular 3-fold of general type, the 6-canonical map is birational onto its image.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometry and complex manifolds