交错格链或二次格链的公共双曲基
Common hyperbolic bases for chains of alternating or quadratic lattices
摘要：
我们给出了一个简短的纯双线性证明，证明了在离散赋值环上的$p$ -adic整数上具有二次型或交错双线性型的两个$p$ -初等格链或更一般的情形下，具有公共双曲基.这一事实对于布鲁哈特山雀建筑的研究是有用的，以前已经被阿布拉缅科和内贝以及弗里施用不同的方法证明过。
英文摘要：
We give a short and purely bilinear proof of the fact that two chains of $p$-elementary lattices with quadratic form or alternating bilinear form over the $p$-adic integers ore more generally over a complete discrete valuation ring have common hyperbolic bases. This fact, which is useful for the study of Bruhat-Tits buildings, has been proven before with different methods by Abramenko and Nebe and by Frisch.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
