论文标题
从组合角度来看点爆炸序列
Sequences of point blow-ups from a combinatorial point of view
论文作者
论文摘要
我们定义了平滑D维射击品种的点爆炸序列和相关的顺序形态的两个序列的等效关系,我们证明了各个点爆破序列与相关的顺序形态的相应等效等效类别之间存在两次试验。此外,在处理更普遍的平滑3维投影品种爆炸序列时,我们会显示出一些差异,其中允许在中心所有可能的维度。
We define equivalence relations for both sequences of point blow-ups of smooth d-dimensional projective varieties and for associated sequential morphisms and we prove that there exists a bijection between the respective equivalence classes of sequences of point blow-ups and the associated sequential morphisms. Moreover we show some diferences when dealing with the more general case of sequences of blow-ups of smooth 3-dimensional projective varieties, where all possible dimensions for the centers are allowed.