Some research papers

by Charles Weibel

  • Survey of non-Desarguesian Planes,   Notices AMS 54 (Nov. 2007), 1294--1303.
  • NK0 and NK1 of the groups C4 and D4 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)
  • Toric Varieties, Monoid Schemes and cdh descent
       (by G. Cortiñas, C. Haesemayer, M.E. Walker and C. Weibel), 45pp. preprint, 2011 preprint

    Milnor-Bloch-Kato papers

  • The norm residue isomorphism theorem,   Jour. Topology 2 (2009), 346-372.   (Here is the preprint.)
  • 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,   ICTP Lecture Notes Series 23 (2008), 277-305.

  • 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. (2012), to appear. This is a 18pp. pdf file, 2010 preprint.
  • 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.
       This is a 17pp. pdf file, the first half of the 2008 preprint
  • 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.

    More papers

  • Higher wild kernels and divisibility in the K-theory of number fields   J. Pure Applied Algebra 206 (2006), 222-244.
  • 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.
  • Algebraic and Real K-theory of Real Varieties   (by Max Karoubi and Charles Weibel), Topology 42 (2003), 715-742
  • 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)

    Cyclic homology papers

  • Relative Chern characters for nilpotent ideals,   (by G. Cortiñas and C. Weibel), Abel Symposia 4 (2009), Springer-Verlag, 61--82.
  • 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)

    Other older papers (before 1995)

  • 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)
  • Invariants of Real Curves (by Claudio Pedrini and Charles Weibel)
       Rend. Sem Mat. Univ. Politec Torino 49 (1991), no. 2, 139-173.(dvi)
  • Bloch's Formula for varieties with isolated singularities (by Claudio Pedrini and Charles Weibel)
       Comm. in Algebra 14 (1986), 1895-1907. (pdf, rotated)
  • Homotopy algebraic K-theory, AMS Contemp. Math. 83 (1989), 461-488. (pdf)
  • 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.
  • 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!
    Module Structure papers
  • 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.
  • 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.
  • K2, K3 and nilpotent ideals, J. Pure Appl. Alg. 18 (1980), 333-345. (pdf)   Please note that Lemma 1.2(b) is false.

    Here are some papers of mine (written after 1994) which are archived with the K-theory preprint server (pdf, dvi and ps format):

  • Cyclic homology for schemes,Proc. AMS 124 (1996)
  • The Hodge Filtration and Cyclic Homology, K-theory 12 (1997)
  • 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)
  • Algebraic and Real K-theory of Real Varieties (by Max Karoubi and Charles Weibel), Topology 42 (2003), 715-742.
  • 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)
  • The Artinian Berger Conjecture (by G. Cortinas, S. Geller and C. Weibel), Math. Zeit. 228 (1998)
  • Cotensor products of modules (by L. Abrams and C. Weibel), Trans. AMS 354 (2002)
  • Homotopy Ends and Thomason model categories, Selecta Math 7 (2001), 533-564.
  • Algebraic and Real K-theory of Real Varieties   (by Max Karoubi and Charles Weibel), Topology 42 (2003), 715-742

    Here is a paper archived with the Hopf Topology Archive (dvi, ps and pdf format):

  • Homotopy Ends and Thomason model categories, Selecta Math 7 (2001), 533-564.
    RWT

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

    Charles Weibel / weibel @ math.rutgers.edu / Jan 2, 2011