$K$-theory and patching for categories of complexes
Steven E. Landsburg
Source: Duke Math. J. Volume 62, Number 2 (1991), 359-384.
First Page PDF: View first page of article (PDF, 64 KB)Primary Subjects: 18E30
Secondary Subjects: 14C35, 19E08, 19E15
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077296362
Mathematical Reviews number (MathSciNet):
MR1104528
Zentralblatt MATH identifier:
0747.18012
Digital Object Identifier: doi:10.1215/S0012-7094-91-06214-9
References
[AC] S. Landsburg, Algebraic cycles relative to a smooth principal divisor, Comm. Algebra 16 (1988), no. 4, 859–868.
Mathematical Reviews (MathSciNet):
MR89d:14011
Zentralblatt MATH:
0643.14007
[GG] H. Gillet and D. Grayson, The loop space of the $Q$-construction, Illinois J. Math. 31 (1987), no. 4, 574–597.
Mathematical Reviews (MathSciNet):
MR89h:18012
Zentralblatt MATH:
0628.55011
[He] A. Heller, Some exact sequences in algebraic $K$-theory, Topology 4 (1965), 389–408.
Mathematical Reviews (MathSciNet):
MR31:3477
Zentralblatt MATH:
0161.01507
Digital Object Identifier: doi:10.1016/0040-9383(65)90004-2
[HS] V. A. Hinich and V. V. Schechtman, Geometry of a category of complexes and algebraic $K$-theory, Duke Math. J. 52 (1985), no. 2, 399–430.
Mathematical Reviews (MathSciNet):
MR87a:18015
Zentralblatt MATH:
0574.55020
Digital Object Identifier: doi:10.1215/S0012-7094-85-05220-2
Project Euclid: euclid.dmj/1077304438
[KTDC] S. Landsburg, $K$-theory and derived categories, unpublished.
[M] J. Milnor, Introduction to algebraic $K$-theory, Princeton University Press, Princeton, N.J., 1971.
Mathematical Reviews (MathSciNet):
MR50:2304
Zentralblatt MATH:
0237.18005
[Ma] S. H. Man, Modules of finite homological dimension over a pullback of commutative noetherian rings, preprint.
[PM] S. Landsburg, Patching modules of finite projective dimension, Comm. Algebra 13 (1985), no. 7, 1461–1473.
Mathematical Reviews (MathSciNet):
MR87e:13010
Zentralblatt MATH:
0588.13008
[RCAKT] S. Landsburg, Relative cycles and algebraic $K$-theory, Amer. J. Math. 111 (1989), no. 4, 599–632.
Mathematical Reviews (MathSciNet):
MR91d:19005
Zentralblatt MATH:
0722.14001
[RCG] S. Landsburg, Relative Chow groups, preprint.
Mathematical Reviews (MathSciNet):
MR1115990
[T] R. Thomason and T. Trobaugh, Higher algebraic $K$-theory of schemes and of derived categories, preprint.
[W] F. Waldhausen, Algebraic $K$-theory of spaces, Algebraic and geometric topology (New Brunswick, N.J., 1983), Lecture Notes in Math., vol. 1126, Springer, Berlin, 1985, pp. 318–419.
Mathematical Reviews (MathSciNet):
MR86m:18011
Zentralblatt MATH:
0579.18006
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