Geography for surfaces of general type in positive characteristic

Geography for surfaces of general type in positive characteristic
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正特征中一般类型表面的地理

DOI:
10.1007/bf01243913
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发表时间:
1991
影响因子:
3.1
通讯作者:
N. Shepherd
N. Shepherd
中科院分区:
数学1区
文献类型:
--
作者:
N. Shepherd

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尽可能粗略地说,地理学的问题是从其陈数(c2,c2)的约束中推导出一般类型的极小曲面X的各种性质(例如,它的存在性或无扰性),(参见。[P])。这里考虑的这个问题的方面如下。固定一个正的真实的数~。然后在(x,y)平面中,x= c2和y= c2,考虑三个区域:
Put as crudely as possible, the problem of geography is to deduce various properties of a minimal surface X of general type (for example, its existence or uniruledness) from constraints on its Chern numbers (c2, c2),(cf.[P]). The aspect of this problem considered here is the following. Fix a positive real number~. Then in the (x, y)-plane with x= c2 and y= c 2, consider three regions: