计算局部阿贝尔抛物丛的抛物Chern character
Calculating the parabolic Chern character of a locally abelian parabolic bundle
摘要:
利用Deligne-Mumford叠加的定义,计算了光滑严格正规交叉因子上具有局部交换抛物结构丛的抛物Chern特征标.我们得到了$ch_1$,$ch_2$和$ch_3$的显式公式,并验证了这些公式与Borne给出的$ch_1$公式和Mochizuki给出的$ch_2$公式相对应.
英文摘要:
We calculate the parabolic Chern character of a bundle with locally abelian parabolic structure on a smooth strict normal crossings divisor, using the definition in terms of Deligne-Mumford stacks. We obtain explicit formulas for $ch_1$, $ch_2$ and $ch_3$, and verify that these correspond to the formulas given by Borne for $ch_1$ and Mochizuki for $ch_2$.
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