Abstract
In the present paper, we generalize the Quillen presentation lemma. As an application, for a given functor with transfers, we prove the exactness of its Gersten complex with support.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bloch S., Ogus A.: Gersten’s conjecture and the homology of schemes. Ann. Sci. Ecole Norm. Sup. 7(4), 181–202 (1974)
Colliot-Thélène, J.-L., Hoobler, R., Kahn, B.: The Bloch-Ogus-Gabber Theorem. In: Algebraic K-theory. Fields Inst. Comm., vol. 16, pp. 31–94. Amer. Math. Soc., Providence (1997)
Harmaty, A., Panin, I., Zainoulline, K.: On generalized version of Quillen’s trick. K-theory, vol. 569 (2002, preprint)
Ojanguren M., Panin I.: A purity theorem for the Witt group. Ann. Sci. Ec. Norm. Super. 32(1), 71–86 (1999)
Panin I., Zainoulline K.: Variations on the Bloch–Ogus Theorem. Documenta Math. 8, 51–67 (2003)
Quillen, D.: Higher algebraic K-theory I. In: Algebraic K-theory I. Lecture Notes in Math., vol. 341, pp. 85–147. Springer, Berlin (1973)
Zainoulline K.: The purity problem for functors with transfers. K-Theory J. 22(4), 303–333 (2001)