标题： 一个新的相交定理的证明 显示英文标题

标题： A New Proof of the New Intersection Theorem

摘要： 1987年，罗伯茨利用富尔顿以及罗伯茨本人发展的局部陈类的方法解决了混合特征情形，从而完成了新相交定理（NIT）的证明。他的证明是目前唯一已知的关于混合特征情形的NIT的证明。本文给出了该定理的一个新证明，这一证明大致与罗伯茨最初的证明平行，但避免了使用局部陈类。相反，这里的证明采用了吉莱-索勒发展的带有支撑的K-理论上的亚当斯运算。 显示英文摘要

摘要： In 1987 Roberts completed the proof of the New Intersection Theorem (NIT) by settling the mixed characteristic case using local Chern characters, as developed by Fulton and also by Roberts. His proof has been the only one recorded of the NIT in mixed characteristic. This paper gives a new proof of this theorem, one which mostly parallels Roberts' original proof, but avoids the use of local Chern characters. Instead, the proof here uses Adams operations on K-theory with supports as developed by Gillet-Soule.