Publications

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Preprints

  • Lars Winther Christensen, Sergio Estrada, and Peder Thompson,
    Gorenstein weak global dimension is symmetric.

    [ Preprint (2021), 9 pp.  PDF ]

  • Lars Winther Christensen, Nanqing Ding, Sergio Estrada, Jiangsheng Hu, Huanhuan Li, and Peder Thompson
    The singularity category of an exact category applied to characterize Gorenstein schemes.

    [ Preprint (2020), 24 pp.  PDF ]

Journal articles

  1. Lars Winther Christensen, Sergio Estrada, and Peder Thompson,
    The stable category of Gorenstein flat sheaves on a noetherian scheme,
    Proc. Amer. Math. Soc 149 (2021), 525–538.   [ PDF  MR4198062  Zbl 07299097 ]
  2. Lars Winther Christensen, Sergio Estrada, Li Liang, Peder Thompson, Dejun Wu, and Yang Gang,
    A refinement of Gorenstein flat dimension the via the flat–cotorsion theory,
    J. Algebra 567 (2021), 346–370.   [ PDF  MR4159258  Zbl 07282602 ]
  3. Lars Winther Christensen, Oana Veliche, and Jerzy Weyman, Minors of a skew symmetric matrix:
    a combinatorial approach
    , Electron. J. Linear Algebra, 36 (2020), 658–663.
    PDF  MR4165809  Zbl 1452.15002 ]
  4. Lars Winther Christensen, Oana Veliche, and Jerzy Weyman, Linkage classes of grade 3 perfect ideals,
    J. Pure Appl. Algebra 224 (2020), 106185, 29 pp.   [ PDF  MR4048506  Zbl 1440.13056 ]
  5. Lars Winther Christensen, Oana Veliche, and Jerzy Weyman, Trimming a Gorenstein ideal,
    J. Commut. Algebra 11 (2019), 325–339.   [ PDF  MR4038053  Zbl 1441.13059 ]
  6. Lars Winther Christensen and Peder Thompson, Pure-minimal chain complexes,
    Rend. Semin. Mat. Univ. Padova 142 (2019), 41–67.   [ PDF  MR4032803  Zbl 1454.16001 ]
  7. Lars Winther Christensen, Oana Veliche, and Jerzy Weyman,
    Free resolutions of Dynkin format and the licci property of grade 3 perfect ideals,
    Math. Scand. 125 (2019), 163–178.   [ PDF  MR4031044  Zbl 1451.13044 ]
  8. Lars Winther Christensen and Dejun Wu,
    A Bass equality for Gorenstein injective dimension of modules finite over homomorphisms,
    Arch. Math. (Basel) 113 (2019), 459–467.   [ PDF  MR4016630  Zbl 1430.13019 ]
  9. Lars Winther Christensen, Srikanth B. Iyengar, and Thomas Marley, Rigidity of Ext and Tor
    with coefficients in residue fields of a commutative noetherian ring
    ,
    Proc. Edinb. Math. Soc. 62 (2019), 305–321.   [ PDF  MR3935802  Zbl 1412.13020 ]
  10. Lars Winther Christensen and Oana Veliche, The Golod property of powers of the maximal ideal
    of a local ring
    , Arch. Math. (Basel) 110 (2018), 549–562.   [ PDF  MR3803744  Zbl 1393.13043 ]
  11. Lars Winther Christensen and Kirko Kato, Totally acyclic complexes and locally Gorenstein rings,
    J. Algebra Appl. 17 (2018), 1850039, 6 pp.   [ PDF  MR3760008  Zbl 1390.13042 ]
  12. Olgur Celikbas, Lars Winther Christensen, Li Liang, and Greg Piepmeyer, Complete homology
    over associative rings
    , Israel J. Math. 221 (2017), 1–24.   [ PDF  MR3705846  Zbl 1428.16007 ]
  13. Olgur Celikbas, Lars Winther Christensen, Li Liang, and Greg Piepmeyer, Stable homology
    over associative rings
    , Trans. Amer. Math. Soc. 369 (2017), 8061–8086.
    PDF  MR3695854  Zbl 1397.16007 ]
  14. Lars Winther Christensen and Srikanth B. Iyengar, Tests for injectivity of modules over commutative rings, Collect. Math. 68 (2017), 243–250.   [ PDF  MR3633060  Zbl 1372.13007 ]
  15. Lars Winther Christensen, Sergio Estrada, and Alina Iacob, A Zariski-local notion of F-total acyclicity
    for complexes of sheaves
    , Quaest. Math., 40 (2017), 197–214.   [ PDF  MR3630500  Zbl 1423.18047 ]
  16. Lars Winther Christensen, Fatih Köksal, and Li Liang, Gorenstein dimensions of unbounded complexes
    and change of base (With an appendix by Driss Bennis)
    , Sci. China Math. 60 (2017), 401–420.
    PDF  MR3600932  Zbl 1381.13006 ]
  17. Lars Winther Christensen and Fatih Köksal, Injective modules under faithfully flat ring extensions,
    Proc. Amer. Math. Soc. 144 (2016), 1015–1020.   [ PDF  MR3447655  Zbl 1361.13006 ]
  18. Jesse Burke, Lars Winther Christensen, and Ryo Takahashi, Building modules from the singular locus,
    Math. Scand. 116 (2015), 23–33.   [ PDF  MR32322605  Zbl 1310.13019 ]
  19. Lars Winther Christensen and David A. Jorgensen,
    Vanishing of Tate homology and depth formulas over local rings,
    J. Pure Appl. Algebra 219 (2015), 464–481.   [ PDF  MR3279366  Zbl 1311.13016 ]
  20. Lars Winther Christensen and Henrik Holm, The direct limit closure of perfect complexes,
    J. Pure Appl. Algebra 219 (2015), 449–463.   [ PDF  MR3279365  Zbl 1357.16015 ]
  21. Lars Winther Christensen and Oana Veliche, Local rings of embedding codepth 3: A classification
    algorithm
    , J. Softw. Algebra Geom. 6 (2014), 1–8.   [ PDF  MR3338667  Zbl 1401.13081 ]

    [ Accompanying Macaulay 2 package CodepthThree ]

  22. Lars Winther Christensen and Oana Veliche, Local rings of embedding codepth 3. Examples,
    Algebr. Represent. Theory 17 (2014), 121–135.   [ PDF  MR3160716  Zbl 1295.13019 ]
  23. Lars Winther Christensen and David A. Jorgensen, Tate (co)homology via pinched complexes,
    Trans. Amer. Math. Soc. 366 (2014), 667–689.   [ PDF  MR3130313  Zbl 1326.18008 ]
  24. Lars Winther Christensen and Henrik Holm, Vanishing of cohomology over Cohen–Macaulay rings,
    Manuscripta Math. 139 (2012), 535–544.   [ PDF  MR2974289  Zbl 1255.13009 ]
  25. Lars Winther Christensen, David A. Jorgensen, Hamidreza Rahmati, Janet Striuli, and Roger Wiegand,
    Brauer–Thrall for totally reflexive modules, J. Algebra 350 (2012), 340–373.
    PDF  MR2859892  Zbl 1274.13026 ]
  26. Lars Winther Christensen and Henrik Holm,
    Algebras that satisfy Auslander's condition on vanishing of cohomology,
    Math. Z. 265 (2010), 21–40.   [ PDF  MR2606948  Zbl 1252.16008 ]
  27. Lars Winther Christensen and Sean Sather-Wagstaff,
    Transfer of Gorenstein dimensions along ring homomorphisms,
    J. Pure Appl. Algebra 214 (2010), 982–989.   [ PDF  MR2580673  Zbl 1186.13010 ]
  28. Lars Winther Christensen, Janet Striuli, and Oana Veliche,
    Growth in the minimal injective resolution of a local ring,
    J. Lond. Math. Soc. 81 (2010), 24–44.
      [ PDF  MR2580452  Zbl 1190.13018 ]
  29. Lars Winther Christensen and Sean Sather-Wagstaff, Descent via Koszul extensions,
    J. Algebra 322 (2009), 3026–3046.   [ PDF  MR2567408  Zbl 1186.13024 ]
  30. Lars Winther Christensen and Henrik Holm, Ascent properties of Auslander categories,
    Canad. J. Math. 61 (2009), 76–108.   [ PDF  MR2488450  Zbl 1173.13016 ]
  31. Lars Winther Christensen and Sean Sather-Wagstaff,
    A Cohen–Macaulay algebra has only finitely many semidualizing modules,
    Math. Proc. Cambridge Philos. Soc. 145 (2008), 601–603.   [ PDF  MR2464778  Zbl 1153.13020 ]
  32. Lars Winther Christensen, Greg Piepmeyer, Janet Striuli, and Ryo Takahashi,
    Finite Gorenstein representation type implies simple singularity,
    Adv. Math. 218 (2008), 1012–1026.   [ PDF  MR2419377  Zbl 1148.14004 ]
  33. Lars Winther Christensen and Oana Veliche, A test complex for Gorensteinness,
    Proc. Amer. Math. Soc. 136 (2008), 479–487.   [ PDF  MR2358487  Zbl 1131.13021 ]
  34. Lars Winther Christensen and Oana Veliche, Acyclicity over local rings with radical cube zero,
    Illinois J. Math. 54 (2007), 1439–1454.   [ PDF  MR2417436  Zbl 1148.13004 ]
  35. Lars Winther Christensen and Srikanth Iyengar, Gorenstein dimension of modules over homomorphisms,
    J. Pure Appl. Algebra 208 (2007), 177–188.   [ PDF  MR2269838  Zbl 1105.13014 ]
  36. Lars Winther Christensen, Anders Frankild, and Henrik Holm,
    On Gorenstein projective, injective and flat dimensions—A functorial description with applications,
    J. Algebra 302 (2006), 231–279.   [ PDF  MR2236602  Zbl 1104.13008 ]
  37. Lars Winther Christensen, Sequences for complexes II,
    Math. Scand. 91 (2002), 161–174.   [ PDF  MR1931568  Zbl 1021.13015 ]
  38. Lars Winther Christensen, Hans-Bjørn Foxby, and Anders Frankild,
    Restricted homological dimensions and Cohen–Macaulayness,
    J. Algebra 251 (2002), 479–502.   [ PDF  MR1900297  Zbl 1073.13501 ]
  39. Lars Winther Christensen, Sequences for complexes,
    Math. Scand. 89 (2001), 161–180.   [ PDF  MR1868172  Zbl 1021.13014 ]
  40. Lars Winther Christensen, Semi-dualizing complexes and their Auslander categories,
    Trans. Amer. Math. Soc. 353 (2001), 1839–1883.   [ PDF  MR1813596  Zbl 0969.13006 ]
 

Book chapters

 Lars Winther Christensen and Srikanth B. Iyengar, Dimension of finite free complexes over commutative noetherian rings. In: N. Baeth, T. Freitas, G. Leuschke, and V. H. J. Pérez (eds), Commutative Algebra:
150 years with Roger and Sylvia Wiegand,
Contemp. Math., to appear.   [ Preprint (2020), 6 pp.  PDF ]
 Lars Winther Christensen, Sergio Estrada, and Peder Thompson, Homotopy categories of totally acyclic complexes with applications to the flat–cotorsion theory. In: A. K. Srivastava, A. Leroy, I. Herzog,
and P. A. Guil Asensio (eds), Categorical, Homological and Combinatorial Methods in Algebra, 99–118,
Contemp. Math, vol. 751.
Amer. Math. Soc., Providence RI, 2020.   [ PDF  MR4132086  Zbl 07224446 ]
 Lars Winther Christensen, Tate homology beyond Gorenstein rings.
In: D. Herbera, W. Pitsch, and S. Zarzuela (eds), Extended Abstracts Spring 2015, 47–51.
Trends in Mathematics, vol. 5.
Birkhäuser, Cham, 2016.   [ PDF ]
 Lars Winther Christensen, Hans-Bjørn Foxby, and Henrik Holm, Beyond totally reflexive modules and back.
In: M. Fontana, S. E. Kabbaj, B. Olberding, and I. Swanson (eds), Commutative Algebra: Noetherian and non-Noetherian perspectives, 101–143. Springer-Verlag, New York NY, 2011.   [ PDF  MR2762509  Zbl 1225.13019 ]
 

Books

 Lars Winther Christensen, Hans-Bjørn Foxby, and Henrik Holm,
Derived category methods in commutative algebra, (manuscript in progress).
 Lars Winther Christensen, Gorenstein Dimensions,
Lecture Notes in Math. vol. 1747. Springer-Verlag, Berlin, 2000, xiii + 204 pp.
Errata  MR1799866  Zbl 0965.13010 ]
 

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