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Joseph Lipman
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PROFESSOR EMERITUS, PURDUE UNIVERSITY


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PREPRINTS AND TALKS

  • Cohomology with supports; idempotent pairs.

  • Grothendieck Duality theories--abstract and concrete.   v1.1 (updated 08/24/2019).

  • About the fundamental class of a flat scheme-map.   (ISI Bangalore,   Dec. 12, 2015--expanded and updated.)   

  • Residues, Duality, Fundamental Class.   (Midwest Algebra & Geometry conference,  Purdue,   May. 22, 2011.)   

  • Residues, Duality, Fundamental Class.   (Algecom 4,  Purdue,   Mar. 26, 2011.   Quite different than preceding talk.)    Slides

  • A bivariant theory of Hochschild homology.   (Libgober conference,  Chicago,   Oct. 17, 2009.)

  • Grothendieck operations and coherence in categories.   (UAM,  Madrid, Spain,  Feb. 27, 2009.)

  • Introduction to Grothendieck Duality.   (YMIS 09,  Sedano, Spain,   Feb. 16-20, 2009.)

  • Derived Hochschild cohomology and Grothendieck Duality.   (Avramov conference,  Lincoln, Nebraska,   May 20, 2008.)

  • Rational points on conics, and local-global relations in Number Theory
            (Graduate Student Seminar, Nov. 26, 2007.)

  • Basic results on Grothendieck Duality.   (Barcelona workshop,   Nov. 5, 2007.)

  • Dualizing complexes and Cousin complexes on formal schemes.   (Segovia conference,   Aug. 16, 2006.)

  • Büchi's problem about squares.   (Magic 05 conference,   Notre Dame,   Oct. 8, 2006; revised Aug. 2021.)

  • Residue theorem for formal schemes.   (Videotaped lecture at MSRI,   Dec. 3, 2002. Needs Real Player.)

  • Divisors on Zariski-Riemann spaces.
            (Outsized initial version of Appendix to Chapter 2 of O. Zariski's "Algebraic Surfaces," Springer, 1971, reprinted 1995.)

    POST-1990 PAPERS (pdf)
    See also     Older papers.   For more information see  Publications,   Reviews,  and  Citations.

  • On the fundamental class of an essentially smooth scheme-map.   (2018)  
            (With A. Neeman.)

  • Adjoint associativity: an invitation to algebra in ∞-categories.   (2015)

  • Relation between two twisted inverse image pseudofunctors in duality theory.   (2015)  
            (With S.B. Iyengar and A. Neeman.)

  • Bivariance, Grothendieck duality and Hochschild homology II: the fundamental class of a flat scheme-map.   (2014)
            (With L. Alonso Tarrío and A. Jeremías López.)

  • Bivariance, Grothendieck duality and Hochschild homology I: construction of a bivariant theory.   (2011)
            (With L. Alonso Tarrío and A. Jeremías López.)

  • Reflexivity and rigidity for complexes, II: Schemes.  (2011)   
            (With L.L. Avramov and S.B. Iyengar.)

  • Reflexivity and rigidity for complexes, I: Commutative rings.  (2010)   
            (With L.L. Avramov and S.B. Iyengar.)

  • Reduction of derived Hochschild functors over commutative algebras and schemes.  (2010)   
            (With L.L. Avramov, S.B. Iyengar and S. Nayak.)

  • Notes on Derived Functors and Grothendieck Duality.   In Springer Lecture Notes,  no. 1960 (2009), 1--259. 

  • A vanishing theorem for finitely supported ideals in regular local rings.   (2008)

  • Quasi-perfect scheme-maps and boundedness of the twisted inverse image functor.   (2007)
            (With A. Neeman.)

  • A numerical condition for simultaneous normalization.   (2006)   
            (With H.-J. Chiang-Hsieh.)

  • Pseudofunctorial behavior of Cousin complexes on formal schemes.   (2005)
            (With S. Nayak and P. Sastry.)

  • Integrally closed ideals in two-dimensional regular local rings are multiplier ideals.   (2003)
            (With K. Watanabe.)

  • Lectures on local cohomology and duality.  (2001)

  • Equisingularity and simultaneous resolution of singularities.  (2000)

  • Duality and flat base change on formal schemes.    Correction8.3.    Correction2.5.  (1999)
            (With L. Alonso Tarrío and A. Jeremías López.)

  • Greenlees-May duality on formal schemes.  (1999)   
            (With L. Alonso Tarrío and A. Jeremías López.)

  • Non-noetherian Grothendieck duality.   (1999)

  • Differential invariants of embeddings of manifolds in complex spaces.   (1998)
          (With W. Huang.)

  • Local homology and cohomology on schemes.   (1997)    See also: Corrections.
            (With L. Alonso Tarrío and A. Jeremías López.)

  • The multiple-point schemes of a finite curvilinear map of codimension one.   (1996)
           (With S.L. Kleiman and B. Ulrich.)

  • Cohen-Macaulayness in graded algebras.   (1994)

  • Adjoints of ideals in regular local rings.   (1994)

  • Proximity inequalitites for complete ideals in two-dimensional regular local rings.   (1994)

  • Adjoints and polars of simple complete ideals in two-dimensional regular local rings.   (1993)

  • The source double-point cycle of a finite map of codimension one.   (1992)
            (With S.L. Kleiman and B. Ulrich.)

  • Regular differentials and equidimensional scheme-maps.   (1992)   See also Correction.
           (With P. Sastry.)

  • Group-theoretic axioms for projective geometry.  (1991)
           (With A. Gottlieb.)

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