Orlov spectra: bounds and gaps

[1]  Matthew R. Ballard,et al.  A category of kernels for equivariant factorizations and its implications for Hodge theory , 2011, 1105.3177.

[2]  M. Bergh,et al.  On two examples by Iyama and Yoshino , 2008, Compositio Mathematica.

[3]  L. Avramov,et al.  Corrigendum to “Homology of perfect complexes” [Adv. Math. 223 (5) (2010) 1731–1781] , 2010 .

[4]  A. Polishchuk,et al.  Chern characters and Hirzebruch-Riemann-Roch formula for matrix factorizations , 2010, 1002.2116.

[5]  R. Rouquier.  Triangulated Categories: Derived categories and algebraic geometry , 2010 .

[6]  Steffen Oppermann.  The dimension of the derived category of elliptic curves and tubular weighted projective lines , 2010 .

[7]  Ryo Takahashi.  Classifying thick subcategories of the stable category of Cohen-Macaulay modules , 2009, 0908.0107.

[8]  A. Efimov.  Homological mirror symmetry for curves of higher genus , 2009, 0907.3903.

[9]  Steffen Oppermann.  Lower bounds for Auslander's representation dimension , 2009 .

[10]  David Favero,et al.  Hochschild dimensions of tilting objects , 2009, 0905.1444.

[11]  L. Katzarkov,et al.  Generalized Homological Mirror Symmetry and cubics , 2009 .

[12]  Tobias Dyckerhoff.  Compact generators in categories of matrix factorizations , 2009, 0904.4713.

[13]  A. Kuznetsov.  Hochschild homology and semiorthogonal decompositions , 2009, 0904.4330.

[14]  Mark Hovey,et al.  The ghost dimension of a ring , 2009 .

[15]  D. Orlov,et al.  Formal completions and idempotent completions of triangulated categories of singularities , 2009, 0901.1859.

[16]  Y. Tschinkel,et al.  Algebra, arithmetic, and geometry : in honor of Yu. I. Manin , 2009 .

[17]  P. Seidel.  Homological mirror symmetry for the genus two curve , 2008, 0812.1171.

[18]  Paul Seidel,et al.  Fukaya Categories and Picard-Lefschetz Theory , 2008 .

[19]  Sunil K. Chebolu,et al.  Freyd's generating hypothesis with almost split sequences , 2008, 0806.2165.

[20]  D. Orlov.  Remarks on generators and dimensions of triangulated categories , 2008, 0804.1163.

[21]  Petter Andreas Bergh,et al.  Dimensions of triangulated categories via Koszul objects , 2008, 0802.0952.

[22]  M. Ballard.  Derived categories of sheaves on singular schemes with an application to reconstruction , 2008, 0801.2599.

[23]  Sunil K. Chebolu,et al.  Ghosts in modular representation theory , 2006, math/0609699.

[24]  Steffen Oppermann.  Lower bounds for Auslanders representation dimension , 2007 .

[25]  Sunil K. Chebolu,et al.  The generating hypothesis for the stable module category of a p-group , 2006, math/0611403.

[26]  Mark Hovey,et al.  The generating hypothesis in the derived category of a ring , 2006, math/0610201.

[27]  C. Miller,et al.  Homology of perfect complexes , 2006, math/0609008.

[28]  Daniel Huybrechts,et al.  Fourier-Mukai transforms in algebraic geometry , 2006 .

[29]  José Antonio de la Peña,et al.  Trends in representation theory of algebras and related topics : Workshop on Representations of Algebras and Related Topics, August 11-14, 2004, Querétaro, México , 2006 .

[30]  Keir Lockridge.  The generating hypothesis in the derived category of R-modules , 2005, math/0511534.

[31]  H. Krause,et al.  Rouquier's theorem on representation dimension , 2005, math/0505055.

[32]  D. Orlov,et al.  Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities , 2005, math/0503632.

[33]  J. Maldacena.  Progress in string theory , 2005 .

[34]  P. Aspinwall.  D-Branes on Calabi-Yau Manifolds , 2004, hep-th/0403166.

[35]  Raphael Rouquier,et al.  Dimensions of triangulated categories , 2003, math/0310134.

[36]  D. Orlov,et al.  Triangulated categories of singularities and D-branes in Landau-Ginzburg models , 2003, math/0302304.

[37]  H. Schoutens.  Projective Dimension and the Singular Locus , 2003 .

[38]  M. Bergh,et al.  Generators and representability of functors in commutative and noncommutative geometry , 2002, math/0204218.

[39]  Idun Reiten,et al.  Noetherian hereditary abelian categories satisfying Serre duality , 2002 .

[40]  M. Douglas,et al.  D-Branes on Calabi-Yau Manifolds , 2000, math/0009209.

[41]  M. Matsumoto.  A presentation of mapping class groups in terms of Artin groups and geometric monodromy of singularities , 2000 .

[42]  Richard P. Thomas,et al.  Braid group actions on derived categories of coherent sheaves , 2000, math/0001043.

[43]  J. Christensen.  Ideals in triangulated categories: phantoms, ghosts and skeleta , 1998, math/9807071.

[44]  A. Polishchuk,et al.  Categorical Mirror Symmetry: The Elliptic Curve , 1998, math/9801119.

[45]  Maurice Auslander,et al.  Representation Theory of Artin Algebras: Notation , 1995 .

[46]  D. Orlov,et al.  PROJECTIVE BUNDLES, MONOIDAL TRANSFORMATIONS, AND DERIVED CATEGORIES OF COHERENT SHEAVES , 1993 .

[47]  Miles Reid,et al.  Commutative Ring Theory , 1989 .

[48]  D. Kirby,et al.  COMMUTATIVE RING THEORY (Cambridge Studies in Advanced Mathematics 8) , 1988 .

[49]  Ragnar-Olaf Buchweitz,et al.  Maximal Cohen-Macaulay Modules and Tate-Cohomology Over Gorenstein Rings , 1986 .

[50]  David Eisenbud,et al.  Homological algebra on a complete intersection, with an application to group representations , 1980 .

[51]  A. Beilinson.  Coherent sheaves on Pn and problems of linear algebra , 1978 .

[52]  I. Reiten,et al.  Representation theory of artin algebras iii almost split sequences , 1975 .

[53]  Auslander Maurice,et al.  Representation Theory of Artin Algebras I , 1974 .

[54]  G. M. Kelly.  Chain maps inducing zero homology maps , 1965, Mathematical Proceedings of the Cambridge Philosophical Society.