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AUTHOR Hu, Yong,Hu, Yong
TITLE ON PROJECTIVE THREEFOLDS OF GENERAL TYPE WITH SMALL POSITIVE GEOMETRIC GENUS
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JOURNAL ELECTRONIC RESEARCH ARCHIVE, 2021
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 phi(16), phi(6) and phi(5) respectively.
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