A G ] 2 8 D ec 2 00 6 On stability manifolds of Calabi-Yau surfaces

We prove some general statements on stability conditions of CalabiYau surfaces and discuss the stability manifold of the cotangent bundle of P. Our primary interest is in spherical objects.

[1]  R. Bezrukavnikov.  Noncommutative Counterparts of the Springer Resolution , 2006, math/0604445.

[2]  D. Huybrechts.  Derived and abelian equivalence of K3 surfaces , 2006, math/0604150.

[3]  T. Bridgeland.  Derived categories of coherent sheaves , 2006, math/0602129.

[4]  T. Bridgeland.  Stability Conditions on a Non-Compact Calabi-Yau Threefold , 2005, math/0509048.

[5]  B. Kreußler,et al.  Derived categories of irreducible projective curves of arithmetic genus one , 2005, Compositio Mathematica.

[6]  Yukinobu Toda.  Stability conditions and crepant small resolutions , 2005, math/0512648.

[7]  A. Takahashi,et al.  Matrix factorizations and representations of quivers II: Type ADE case , 2005, math/0511155.

[8]  A. Takahashi.  Matrix Factorizations and Representations of Quivers I , 2005, math/0506347.

[9]  T. Bridgeland.  T-structures on some local Calabi–Yau varieties , 2005, math/0502050.

[10]  J. Walcher.  Stability of Landau-Ginzburg branes , 2004, hep-th/0412274.

[11]  So Okada.  Stability Manifold of P^1 , 2004, math/0411220.

[12]  H. Uehara,et al.  Autoequivalences of derived categories on the minimal resolutions of An-singularities on surfaces , 2004, math/0409151.

[13]  A. Rudakov,et al.  t-stabilities and t-structures on triangulated categories , 2004 .

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

[15]  A. Polishchuk,et al.  Sheaves of t-structures and valuative criteria for stable complexes , 2003, math/0309435.

[16]  Richard P. Thomas.  Stability conditions and the braid group , 2002, math/0212214.

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

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

[19]  M. Douglas,et al.  D-branes, categories and N=1 supersymmetry , 2000, hep-th/0011017.

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

[21]  András Recski,et al.  European Congress of Mathematics , 1998 .

[22]  S. I. Gelʹfand,et al.  Methods of Homological Algebra , 1996 .

[23]  A. Grothendieck,et al.  Th'eorie des intersections et th'eor`eme de Riemann-Roch , 1971 .