On minimal $3$-folds of general type with maximal pluricanonical section index
نویسندگان
چکیده
منابع مشابه
The Relative Pluricanonical Stability for 3-folds of General Type
The aim of this paper is to improve a theorem of János Kollár by a different method. For a given smooth Complex projective threefold X of general type, suppose the plurigenus Pk(X) ≥ 2, Kollár proved that the (11k + 5)-canonical map is birational. Here we show that either the (7k+3)-canonical map or the (7k+5)-canonical map is birational and the (13k+6)-canonical map is stably birational onto i...
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The aim of this paper is to improve a theorem of János Kollár by a different method. Given a Complex projective threefold X of general type, suppose the plurigenus Pk(X) ≥ 2, Kollár proved that the (11k+5)-canonical map is birational. Here we show that either the (7k +3)-canonical map or the (7k +5)-canonical map is birational and the m-canonical map is stably birational for m ≥ 13k+6. If we su...
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There are many examples of 3-folds of general type with χ(O) = 1 found by Fletcher and Reid about twenty years ago. Fletcher has ever proved P12(X) ≥ 1 and P24(X) ≥ 2 for all minimal 3-folds X of general type with χ(OX) = 1. In this paper, we improve on Fletcher’s method. Our main result is that φm is birational onto its image for allm ≥ 63. To prove this we will show Pm ≥ 1 for all m ≥ 14 and ...
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ژورنال
عنوان ژورنال: Asian Journal of Mathematics
سال: 2018
ISSN: 1093-6106,1945-0036
DOI: 10.4310/ajm.2018.v22.n2.a3