全实数域的Hermite K理论与2-正则性
Hermitian K-theory and 2-regularity for totally real number fields
摘要：
完全确定了全实2-正则数域上2-整数环的Hermitian K-群的2-准素扭子群。其结果几乎是周期性的，周期为8。我们还确定了与埃尔米特和代数K理论相关的遗忘和双曲映射的同伦纤维。结果是周期8的精确周期。在正交和辛情形下，我们证明了2-准素厄米特Quillen-Lichtenbaum猜想。
英文摘要：
We completely determine the 2-primary torsion subgroups of the hermitian K-groups of rings of 2-integers in totally real 2-regular number fields. The result is almost periodic with period 8. We also identify the homotopy fibers of the forgetful and hyperbolic maps relating hermitian and algebraic K-theory. The result is then exactly periodic of period 8. In both the orthogonal and symplectic cases, we prove the 2-primary hermitian Quillen-Lichtenbaum conjecture.
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