具有指定陈数的一般型极小纤维化代数曲面

MINIMAL FIBERED ALGEBRAIC SURFACES OF GENERAL TYPE WITH PREASSIGNED CHERN NUMBERS

证明了对于指定的正整数对（ｘ，ｙ），当ｘ大于某一大整数，（ｘ，ｙ）处于由一些直线围成的区域内（直线的斜率最高可达到８８７７１），总可以构造一个一般型极小纤维化代数曲面Ｘ，使Ｘ具有指定的陈数Ｃ２１（Ｘ）＝ｙ，χ（Ｘ）＝ｘ。

It is proved that for preassigned pair of positive integers (x,y ),when x is sufficiently large and ( x,y) is in the regions of some lines enclosed (the slope of the lines go up to 8.8771),there exists a minimal fibered algebraic surface X of general type with preassigned Chern numbers C 2 1(X) = y, χ(X )= x 。