A threefold of general type with q1 = q2 = pg = P2=0

被引:2
|
作者
Ronconi, MC [1 ]
机构
[1] Univ Padua, Dipartimento Metodi & Modelli Matemat Sci Applica, I-35131 Padua, Italy
关键词
projective threefolds of general type; pluricanonical maps; pluricanonical adjoints;
D O I
10.1023/A:1022336011727
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
One of the problems in classifying nonsingular threefolds of general type with p(g) = 0 lies in finding the range of the bigenus P-2 (surfaces of general type with p(g) = 0 have 2 less than or equal to P-2 less than or equal to 10). Another problem involves finding the minimum integer m such that the m-canonical map phi(\mK\) is birational for any threefold ( = 5 in the case of surfaces). An example of a nonsingular threefold X of general type with q(1) = q(2) = 0, p(g) = P-2 = 0 P-3 = 1 is presented. In addition, the m -canonical map of X is birational if and only if m greater than or equal to 14. The threefold is obtained as a nonsingular model of a degree ten hypersurface in P-C(4) with the affine equation t(2) = f(10)(x,y,z).
引用
收藏
页码:133 / 150
页数:18
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