论文标题
对不可还原紧凑型隐居对称空间的异性转变
Birational transformations on irreducible compact Hermitian symmetric spaces
论文作者
论文摘要
我们构建了一系列明确的爆炸和不可还原的紧凑型隐性对称空间$ x $的序列，这将其转变为相同维度的投影空间。此外，这解决了Landsberg和Manivel给出的异性图。 $ x $的爆炸中心是由最低理性曲线的链条构建的，而投影空间的爆炸中心是由$ x $及其较高的距离品种的各种最小的理性切线构建的。
We construct a sequence of explicit blow-ups and blow-downs on irreducible compact Hermitian symmetric spaces $X$ which transforms it into a projective space of the same dimension. Moreover this resolves a birational map given by Landsberg and Manivel. Centers of the blow-ups for $X$ are constructed by loci of chains of minimal rational curves and centers of the blow-ups for the projective space are constructed from the variety of minimal rational tangents of $X$ and its higher secant varieties.
