Dualizing complexes and perverse sheaves on noncommutative ringed schemes

[1]  M. Bergh,et al.  Ideal classes of three-dimensional Sklyanin algebras , 2004, math/0503729.

[2]  Sophie Chemla Rigid dualizing complex for quantum enveloping algebras and algebras of generalized differential operators , 2004 .

[3]  D. Auroux,et al.  Mirror symmetry for weighted projective planes and their noncommutative deformations , 2004, math/0404281.

[4]  L. Rigal,et al.  Quantum graded algebras with a straightening law and the AS–Cohen–Macaulay property for quantum determinantal rings and quantum grassmannians , 2004, math/0403021.

[5]  V. Ginzburg,et al.  Cherednik algebras and Hilbert schemes in characteristic p , 2003, math/0312474.

[6]  M. Bergh Three-dimensional flops and noncommutative rings , 2002, math/0207170.

[7]  M. Douglas,et al.  Dirichlet branes, homological mirror symmetry, and stability , 2002, math/0207021.

[8]  A. Bondal,et al.  Derived Categories of Coherent Sheaves , 2002, math/0206295.

[9]  D. Rumynin,et al.  Localization of modules for a semisimple Lie algebra in prime characteristic (with an Appendix by R. Bezrukavnikov and S. Riche: Computation for sl(3)) , 2002, math/0205144.

[10]  R. Bezrukavnikov,et al.  Perverse sheaves on affine flags and langlands dual group , 2002, math/0201073.

[11]  C. Weibel,et al.  An Introduction to Homological Algebra: References , 1960 .

[12]  A. Samokhin COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: The derived category of coherent sheaves on LG_3^{\mathbf C} , 2001 .

[13]  V. Lunts Deformations of quasicoherent sheaves of algebras , 2001, math/0105006.

[14]  James J. Zhang,et al.  RESIDUE COMPLEXES OVER NONCOMMUTATIVE RINGS , 2001, math/0103075.

[15]  J. McConnell,et al.  Noncommutative Noetherian Rings , 2001 .

[16]  B. Conrad Grothendieck Duality and Base Change , 2001 .

[17]  A. Kapustin,et al.  Noncommutative Instantons and Twistor Transform , 2000, hep-th/0002193.

[18]  Amnon Yekutieli,et al.  Derived Picard Groups of Finite-Dimensional Hereditary Algebras , 1999, Compositio Mathematica.

[19]  A V Samokhin The derived category of coherent sheaves on , 2001 .

[20]  V. Ginzburg,et al.  Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism , 2000, math/0011114.

[21]  T. Bridgeland Flops and derived categories , 2000, math/0009053.

[22]  R. Bezrukavnikov Perverse coherent sheaves (after Deligne) , 2000, math/0005152.

[23]  J. J. Zhang,et al.  Some Homological Invariants of Local PI Algebras , 2000 .

[24]  Leovigildo Alonso Tarrío,et al.  Studies in Duality on Noetherian Formal Schemes and Non-Noetherian Ordinary Schemes , 1999 .

[25]  Sophie Chemla A duality property for complex Lie algebroids , 1999 .

[26]  Amnon Yekutieli Dualizing Complexes, Morita Equivalence and the Derived Picard Group of a Ring , 1998, math/9810134.

[27]  Amnon Yekutieli The rigid dualizing complex of a universal enveloping algebra , 1998, math/9810016.

[28]  James J. Zhang,et al.  Rings with Auslander Dualizing Complexes , 1998, math/9804005.

[29]  Peter Jørgensen Non‐Commutative Graded Homological Identities , 1998 .

[30]  M. Bergh Existence Theorems for Dualizing Complexes over Non-commutative Graded and Filtered Rings , 1997 .

[31]  J. Lipman,et al.  Duality and flat base change on formal schemes , 1997, math/0106239.

[32]  Amnon Yekutieli,et al.  Serre duality for noncommutative projective schemes , 1997 .

[33]  Amnon Yekutieli The Residue Complex of a Noncommutative Graded Algebra , 1996 .

[34]  Amnon Yekutieli RESIDUES AND DIFFERENTIAL OPERATORS ON SCHEMES , 1996, alg-geom/9602011.

[35]  Amnon Neeman,et al.  The Grothendieck duality theorem via Bousfield’s techniques and Brown representability , 1996 .

[36]  James J. Zhang,et al.  Noncommutative Projective Schemes , 1994 .

[37]  Amnon Yekutieli Dualizing complexes over noncommutative graded algebras , 1992 .

[38]  M. Bergh,et al.  Modules over regular algebras of dimension 3 , 1991 .

[39]  Masaki Kashiwara,et al.  Sheaves on Manifolds , 1990 .

[40]  E. Kunz,et al.  Regular differential forms and duality for projective morphisms. , 1990 .

[41]  J. T. Stafford,et al.  Gelfand-Kirillov dimension and associated graded modules , 1989 .

[42]  J. Björk The Auslander condition on noetherian rings , 1989 .

[43]  Armand Borel,et al.  Algebraic D-modules , 1987 .

[44]  K. Goodearl,et al.  Localizations of injective modules , 1985, Proceedings of the Edinburgh Mathematical Society.

[45]  Günter Krause,et al.  Growth of Algebras and Gelfand-Kirillov Dimension , 1985 .

[46]  J. Lipman Dualizing sheaves, differentials and residues on algebraic varieties , 1984 .

[47]  向井 茂 Duality between D(X) and D(X) with its application to Picard sheaves , 1982 .

[48]  S. Mukai Duality between D(X) and with its application to picard sheaves , 1981, Nagoya Mathematical Journal.

[49]  S. Kleiman Relative duality for quasi-coherent sheaves , 1980 .

[50]  T. Willmore Algebraic Geometry , 1973, Nature.

[51]  L. Silver Noncommutative localizations and applications , 1967 .

[52]  R. Hartshorne Residues And Duality , 1966 .

[53]  G. Rinehart DIFFERENTIAL FORMS ON GENERAL COMMUTATIVE ALGEBRAS , 1963 .

[54]  A. Grothendieck,et al.  Éléments de géométrie algébrique , 1960 .