A New Proof of the New Intersection Theorem - Mathematics > Commutative AlgebraReport as inadecuate




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



Author: Greg Piepmeyer, Mark E. Walker

Source: https://arxiv.org/



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