# Some research papers

K-theory of line bundles and smooth varieties

(by C. Haesemayer and C. Weibel), 11pp. preprint, 2017.
The K-theory of toric schemes over
regular rings of mixed characteristic

(by G. Cortiñas, C. Haesemayer, M.E. Walker and C. Weibel),
21pp. preprint, 2017.
On the covering type of a space (M. Karoubi and C. Weibel),
*L'Enseignement Math.* (2017), to appear.
16pp.
Relative Cartier divisors and K-theory,
(V. Sadhu and C. Weibel),

*Proc. Int. Coll.*, to appear. 18pp. preprint, 2016.
Relative Cartier divisors and Laurent polynomial extensions,
(V. Sadhu and C. Weibel),
* Math. Zeit.* 285 (2017), 353-366.
The Witt group of real algebraic varieties
(M. Karoubi, M. Schlichting and C. Weibel),
*J. Topology* 9 (2016), 1257-1302.
Twisted *K*-theory, Real *A*-bundles and
Grothendieck-Witt groups (M. Karoubi and C. Weibel),
*J. Pure Appl. Alg.* (221), 1629-1640.
Principal ideals in mod-*l* Milnor *K*-theory,
(Charles Weibel and Inna Zakharevich),
*J. Homotopy Rel. Str.* (2017), to appear.
14pp. preprint, 2015.
Slices of co-operations for *KGL*,
(P. Pelaez and C. Weibel), *Bull. LMS* 46 (2014), 665-684.
Some surfaces of general type for which Bloch's
conjecture holds, (C. Pedrini and C. Weibel),
pp. 308-329 in
*Recent Advances in Hodge Theory*,
Cambridge Univ. Press, 2016.
Severi's results on correspondences,
(C. Pedrini and C. Weibel),
*Rend. Sem. Mat. Torino* 71 (2013), 493-504.
Unstable operations in étale and motivic
cohomology, (Bert Guillou and Chuck Weibel),
26pp. preprint, revised 2017.
K-theory of toric varieties in positive characteristic

(by G. Cortiñas, C. Haesemayer, M.E. Walker and C. Weibel),
*J. Topology* 7 (2014), 247-263,
Toric Varieties, Monoid Schemes and cdh descent

(by G. Cortiñas, C. Haesemayer, M.E. Walker and C. Weibel),
*J. reine angew. Math.* 698 (2015), 1-54.
#### Milnor-Bloch-Kato papers

The norm residue isomorphism theorem,
*J. Topology* 2 (2009), 346-372.
Norm Varieties and the Chain Lemma (after Markus Rost),

(C. Haesemeyer and C. Weibel),
*Abel Symposia* 4 (2009), Springer-Verlag, 95--130.
Axioms for the Norm Residue Isomorphism,

pp. 427-435 in *K-theory and Noncommutative Geometry*,
European Math. Soc. Pub. House, 2008.
2007 Trieste Lectures on
The Proof of the Bloch-Kato Conjecture, pp. 277-305 in
ICTP Lecture Notes Series 23 (2008).

Algebraic K-theory of rings of integers in local and global fields,

pp.139--184 in *Handbook of K-theory*, Springer-Verlag, 2005.
Two-primary algebraic K-theory of rings of integers in number fields

(by J. Rognes and C. Weibel), *J. AMS* 13 (1999), 1-54.
Etale descent for two-primary algebraic K-theory of totally
imaginary number fields

(by Rognes and Weibel),
*K-theory* 16 (1999), 101-104
The 2-torsion in the K-theory of the Integers,
*CR Acad. Sci.* Paris 324 (1997), 615-620.
#### Papers using *cdh* techniques

K-theory of cones of smooth varieties

(by G. Cortiñas, C. Haesemayer, M.E. Walker and C. Weibel),
*J. Alg. Geom.* 22 (2012), 13-34.
Bass' *NK* groups and *cdh*-fibrant Hochschild homology

(by G. Cortiñas, C. Haesemayer, M.E. Walker and C. Weibel),
*Inventiones Math.* 181 (2010), 421-448.

A negative answer to a question of Bass

(by G. Cortiñas, C. Haesemayer, M.E. Walker and C. Weibel),
*Proc. AMS* 139 (2011), 1187-1200.

This is the second half of the
2008 preprint
The K-theory of toric varieties

(by G. Cortiñas, C. Haesemayer, M.E. Walker and C. Weibel),
*Trans. AMS* 361 (2009), 3325-3341.
Infinitesimal cohomology and the Chern character to negative cyclic homology

(by G. Cortiñas, C. Haesemayer and C. Weibel),
*Math. Annalen* 344 (2009), 891-922.
K-regularity, cdh-fibrant Hochschild homology and a conjecture of Vorst

(by G. Cortiñas, C. Haesemayer and C. Weibel),
*J. AMS* 21 (2008), 547-561.
Cyclic homology, cdh-cohomology and negative K-theory

(by G. Cortiñas, C. Haesemayer, M. Schlichting and C. Weibel),
*Annals of Math.* 167 (2008), 549-563.
####
*K*-theory of rings and varieties (pre-cdh techniques)

NK_{0} and NK_{1} of the
groups C_{4} and D_{4}
*Commentarii Math. Helvetici* 84 (2009), 339-349.

(addendum to *Lower algebraic K-theory of reflection groups,*
by J. Lafont and I. Ortiz),
Bott Periodicity for group rings,
*J. of K-theory* 7 (2011), 495-498.

(an appendix to *Periodicity of Hermitian K-groups,*
by Berrick, Karoubi and Ostvær)
Higher wild kernels and divisibility in the K-theory of number fields
*J. Pure Applied Algebra* 206 (2006), 222-244.
Algebraic and Real K-theory of Real Varieties
(M. Karoubi and C. Weibel),
*Topology* 42 (2003), 715-742
The higher K-theory of real curves
(by Claudio Pedrini and Charles Weibel),
*K-theory* 27 (2002), 1--31.
Note the correction on page 2, line 4: the exponent should read ν+1
Invariants of Real Curves (by Claudio Pedrini and Charles Weibel)

*Rend. Sem Mat. Univ. Politec Torino* 49 (1991), no. 2, 139-173.
(dvi)
The Higher K-Theory of Complex Varieties
(by Claudio Pedrini and Charles Weibel),
*K-theory* 21 (2000), 367-385.
The Higher K-Theory of a Complex Surface
(by Claudio Pedrini and Charles Weibel)

*Compositio Mat.* 129 (2001), 239-271.
Divisibility in the Chow group of zero-cycles on a singular surface

(by Claudio Pedrini and Charles Weibel),
*Astérisque* 226 (1994), 371--409.
Etale Chern classes at the prime 2, pp.249-286 in
*Algebraic K-theory and Algebraic Topology*,

NATO ASI Series C, no. 407, Kluwer Press, 1993. (dvi)
Localization for the K-theory of noncommutative rings (by
Charles Weibel and Dongyuan Yao),

*AMS Contemp. Math.* 126 (1992), 219-230. (pdf)
Pic is a contracted functor, *Inventiones Math.* 103 (1991), 351--377.
Homotopy algebraic K-theory,
*AMS Contemp. Math.* 83 (1989), 461-488. (pdf)
Bloch's Formula for varieties with isolated singularities
(by Claudio Pedrini and Charles Weibel)

*Comm. in Algebra* 14 (1986), 1895-1907. (pdf, rotated)
A Spectral Sequence for the K-theory of affine glued schemes
(by Barry Dayton and Charles Weibel),
pp.24-92 in *Algebraic K-theory and algebraic topology*,
Springer Lecture Notes in Math, no.854, Springer, 1981.
This is a 2MB TIF file!
KV-theory of Categories, *Trans. AMS* 267 (1981), 621-635.
K_{2}, K_{3} and nilpotent ideals,
*J. Pure Appl. Alg.* 18 (1980), 333-345. (pdf)
Please note that Lemma 1.2(b) is false.
#### Cyclic homology papers

Étale descent for Hochschild and cyclic homology
(by C. Weibel and S. Geller),
*Comm. Math. Helv.* 66 (1991), 368-388.
Relative Chern characters for nilpotent ideals,
(by G. Cortiñas and C. Weibel),
*Abel Symposia* 4 (2009), Springer-Verlag, 61--82.
Cotensor products of modules (by L. Abrams and C. Weibel),
*Trans. AMS* 354 (2002)
The Artinian Berger Conjecture, *Math Zeit.* 228 (1998), 569-588.
Cyclic Homology of Schemes, *Proc. AMS* 124 (1996), 1655-1662.
Appendix on Hypercohomology of unbounded complexes.
The Hodge filtration and cyclic homology, *K-theory* 12 (1997),
145-164.
Hochschild and cyclic homology are far from being homotopy functors,
*Proc. AMS* 106 (1989), 49-57.
Nil *K*-theory maps to Cyclic Homology,
*Trans. AMS* 303 (1987), 541-558. (pdf)
K(A,B,I):II
(by Susan Geller and Charles Weibel)
*K-Theory* 2 (1989), 753-760.
K_{1}(A,B,I) (by Susan Geller and Charles Weibel),
*J. Reine und Angewandte Mathematik*, 342 (1983), 12-34.
#### Module Structure papers (on K-theory and cyclic homology)

Module structures on the Hochschild and cyclic homology of graded rings
(by Barry Dayton and Charles Weibel),

pp.63-90 in *Algebraic K-theory and algebraic topology*,
NATO ASI Series C, no.407, Kluwer Press, 1993.

On the naturality of Pic, SK__{0} and SK_{1}
(by Barry Dayton and Charles Weibel), pp.1-28 in
NATO ASI Series C, vol. 279, Kluwer Press, 1989.

Module Structures on the K-theory of Graded Rings
J. Algebra 105 (1987), 465-483.

Mayer-Vietoris Sequences and mod *p* *K*-theory,
pp.390-407 in Lecture Notes in Math. 966, Springer-Verlag, 1983.
Mayer-Vietoris Sequences and module structures on *NK*_{*},
pp.466-493 in Lecture Notes in Math. 854, Springer-Verlag, 1981.
####
More papers

Picard groups and class groups of monoid schemes,

(by Jaret Flores and Charles Weibel),
*J. Algebra* 415 (2014), 247-263.
Schur-finiteness in λ-rings,
(Carlo Mazza and Charles Weibel),
*J. Algebra* 374 (2013), 66-78.
Survey of non-Desarguesian Planes,
*Notices AMS* 54 (Nov. 2007), 1294--1303.
Transfer Functors on *k*-Algebras
*J. Pure Applied Algebra* 201 (2005), 340-366.
A Road Map of Motivic Homotopy and Homology Theory
pp. 385-392 in

*New Contexts for Stable Homotopy Theory*,
NATO ASI Series II, no.131, Kluwer Press, 2004.
Review of *Cycles, Motives and Motivic Homology Theories*,
*Bull. AMS* 39 (2002), 137-143.
Homotopy Ends and Thomason model categories,
*Selecta Math* 7 (2001), 533-564. (dvi)
The Development of Algebraic K-theory before 1980,
*AMS Contemp. Math.* 243 (1999), 211-238. (pdf)
#### Other older papers (before 1995)

K-theory homology of spaces (by Erik Pedersen and Charles Weibel),

pp.346--361 in *Algebraic Topology*,
Springer Lecture Notes in Math, no.1370, Springer, 1989.
A nonconnective delooping of algebraic *K*-theory
(by Erik Pedersen and Charles Weibel),

pp.~166--181 in *Algebraic and Geometric Topology*,
Lecture Notes in Math, no.1126, Springer-Verlag, 1985.
Complete intersection points on affine varieties,
Comm. Alg. 12 (1984), 3011-3051.

Here is the 1981 preprint
*Complete intersection points on affine surfaces*.
K_{2}, K_{3} and nilpotent ideals,
JPAA 18 (1980), 333-345.
Here are some other papers of mine (written after 1994)
which are archived with the
K-theory preprint server (pdf, dvi and ps format):

Roitman's theorem for singular complex projective surfaces
(by L. Barbieri-Viale, C. Pedrini, and C. Weibel), *Duke Math J* 84 (1996)
Products in Higher Chow groups and Motivic Cohomology,
*Proc. Symp. Pure Math* (1999)
Voevodsky's Seattle Lectures K-theory and Motivic Cohomology,
*Proc. Symp. Pure Math* (1999)
The negative K-theory of normal surfaces, *Duke Math J* 108 (2001)
The higher K-theory of a complex surface
(by Claudio Pedrini and Charles A. Weibel), *Compositio Math* 129 (2001)
The higher K-theory of complex varieties
(by Claudio Pedrini and Charles Weibel), *K-theory* 21 (2001)
The higher K-theory of real curves
(by Claudio Pedrini and Charles Weibel), *K-theory* 27 (2002)
Thomason Obituary Material -
Photos and articles about R.W. Thomason (1952-1995)
Here are some papers of mine (written after 1994) which are archived with the
LANL XXX Mathematics Archive (dvi, ps and pdf format):

Roitman's theorem for singular complex projective surfaces
(by L. Barbieri-Viale, C. Pedrini and C. Weibel),
*Duke MJ* 84 (1996)

RWT
Popup window of 50 College Avenue
(home of the Rutgers Math Dept. from 1945 until 1959)

Charles Weibel / weibel @
math.rutgers.edu /
April 1, 2017