论文标题
理性地图与Syzygies的程度
Degree of Rational Maps versus Syzygies
论文作者
论文摘要
一个人证明了在任意特征的基础场上投影品品种之间的一般有限理性图的程度的深远的上限。界限表示是某些程度的产物，它们通过考虑定义地图的基础理想的REES代数（爆炸）自然出现。后果得到了几种特殊情况，其中一些涵盖并扩展了文献中的先前结果。
One proves a far-reaching upper bound for the degree of a generically finite rational map between projective varieties over a base field of arbitrary characteristic. The bound is expressed as a product of certain degrees that appear naturally by considering the Rees algebra (blowup) of the base ideal defining the map. Several special cases are obtained as consequences, some of which cover and extend previous results in the literature.
