Mustafin degenerations
Mustafin degenerations
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穆斯塔芬变性
DOI：
10.1007/s13366-013-0147-5
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
M. Häbich
中科院分区：
文献类型：
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作者：
M. Häbich
非阿基米德离散值域上投影线性群的Bruhat-Tits构造中的顶点构型引起的标志变异的退化。在旗子类型为射影空间的情况下，以前已经研究过Mustafin退化。我们将这种构造推广到任意旗型的情况，并研究了由于旗的包含而产生的穆斯塔芬退化之间的自然投影态射下特种纤维组分的行为。
AMustafin degenerationis a degeneration of a flag variety induced by a configuration of vertices in the Bruhat-Tits building of the projective linear group over a field with a non-archimedean discrete valuation. In the case where the flag type is projective space, Mustafin degenerations have been studied previously. We generalize the construction to the case of arbitrary flag types and study the behavior of the components of the special fiber under a natural projection morphism between Mustafin degenerations, which arises from the inclusion of flags.