A Threefold with pg=0 and P2=2

被引：1
|
作者：
Stagnaro, Ezio [1 ]
机构：
[1] Univ Padua, Dipartimento Metodi & Modelli Matemat Sci Applica, I-35121 Padua, Italy
来源：
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA | 2009年 / 121卷
关键词：
GENERAL TYPE;
D O I：
10.4171/RSMUP/121-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct a nonsingular threefold X with q(1) = q(2) = p(g) = 0 and P-2 = 2 whose m-canonical transformation phi(vertical bar mKx vertical bar) has the following properties i) phi(vertical bar mKx vertical bar) has the generic fiber of dimension >= 1, for 2 <= m <= 5; ii) it is generically a tranformation 2: 1, for 6 <= m <= 8 and m = 10; iii) it is birational for m = 9 and m >= 11. So, we have a gap for m = 10 in the birationality of phi(vertical bar mKx vertical bar).
引用
收藏
页码：13 / 31
页数：19
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