In this paper we study the pluricanonical maps of minimal projective 3-folds of general type with geometric genus 1, 2 and 3. We go in the direction pioneered by Enriques and Bombieri, and other authors, pinning down, for low projective genus, a finite list of exceptions to the birationality of some pluricanonical map. In particular, apart from a finite list of weighted baskets, we prove the birationality of φ16, φ6 and φ5 respectively.
On Projective Threefolds Of General Type With Small Positive Geometric Genus
Penegini M.
2021-01-01
Abstract
In this paper we study the pluricanonical maps of minimal projective 3-folds of general type with geometric genus 1, 2 and 3. We go in the direction pioneered by Enriques and Bombieri, and other authors, pinning down, for low projective genus, a finite list of exceptions to the birationality of some pluricanonical map. In particular, apart from a finite list of weighted baskets, we prove the birationality of φ16, φ6 and φ5 respectively.
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