论文标题
在模型表面的全体形态自动形态上
On the group of holomorphic automorphisms of model surfaces
论文作者
论文摘要
事实证明，全态性质的非同质性非化学（有限的绽放bloom-groom-graham型 +霍明型非核能）模型表面Q是具有统一界限程度的环境空间（CREMONA）组的群体自动化的亚组。从环境空间的维度角度估计了自动形态的程度（定理4）。事实证明，无法省略定理的条件。我们还考虑了关于Q的自动形态组的联系（定理7）的问题。
It is proved that the group of holomorphic automorphisms of holomorphically homogeneous nondegenerate (finite Bloom-Graham type + holomorphic nondegenaracy) model surface Q is a subgroup of the group of birational automorphisms of the ambient space (Cremona group) with uniformly bounded degree. An estimate of the degree of the automorphisms in terms of the dimension of the ambient space is given (Theorem 4). It is proved that none of the conditions of the theorem can be omitted. We consider also the question about connectedness of the automorphism group of Q (Theorem 7).
