The logarithmic cotangent complex

被引:44
|
作者
Olsson, MC [1 ]
机构
[1] Inst Adv Study, Sch Math, Princeton, NJ 08540 USA
关键词
Deformation Theory; Cotangent Complex; Transitivity Triangle;
D O I
10.1007/s00208-005-0707-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We define the cotangent complex of a morphism of fine log schemes, prove that it is functorial, and construct under certain restrictions a transitivity triangle. We also discuss its relationship with deformation theory.
引用
收藏
页码:859 / 931
页数:73
相关论文
共 50 条
  • [31] The Role of the Legendre Transform in the Study of the Floer Complex of Cotangent Bundles
    Abbondandolo, Alberto
    Schwarz, Matthias
    COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2015, 68 (11) : 1885 - 1945
  • [32] POSITIVITY OF THE LOGARITHMIC COTANGENT AND CONJECTURE OF SHAFAREVICH-VIEHWEG [according to Campana, Faun, Taji, etc.]
    Claudon, Benoit
    ASTERISQUE, 2017, (390) : 27 - 63
  • [33] Logarithmic and Complex Constant Term Identities
    Chappell, Tom
    Lascoux, Alain
    Warnaar, S. Ole
    Zudilin, Wadim
    COMPUTATIONAL AND ANALYTICAL MATHEMATICS: IN HONOR OF JONATHAN BORWEIN'S 60TH BIRTHDAY, 2013, 50 : 219 - 250
  • [34] Cotangent complex and decomposition of Tor (vol 323, pg 219, 1996)
    Blanco, A
    Majadas, J
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1998, 326 (05): : 531 - 531
  • [35] Logarithmic derivative complex permittivity spectrometry
    Kaatze, U
    MEASUREMENT SCIENCE AND TECHNOLOGY, 2003, 14 (09) : N55 - N58
  • [36] Logarithmic Cartan geometry on complex manifolds
    Biswas, Indranil
    Dumitrescu, Sorin
    McKay, Benjamin
    JOURNAL OF GEOMETRY AND PHYSICS, 2020, 148
  • [37] INVARIANT COMPLEX STRUCTURES ON TANGENT AND COTANGENT LIE GROUPS OF DIMENSION SIX
    Campoamor-Stursberg, Rutwig
    Ovando, Gabriela P.
    OSAKA JOURNAL OF MATHEMATICS, 2012, 49 (02) : 489 - 513
  • [38] COTANGENT SERIES
    EULER, R
    COLLEGE MATHEMATICS JOURNAL, 1985, 16 (01): : 78 - 79
  • [39] A Real/Complex Logarithmic Number System ALU
    Arnold, Mark G.
    Collange, Sylvain
    IEEE TRANSACTIONS ON COMPUTERS, 2011, 60 (02) : 202 - 213
  • [40] C∞-logarithmic transformations and generalized complex structures
    Goto, Ryushi
    Hayano, Kenta
    JOURNAL OF SYMPLECTIC GEOMETRY, 2016, 14 (02) : 341 - 357