Stability Conditions on An-Singularities
Ishii, Akira ; Ueda, Kazushi ; Uehara, Hokuto
J. Differential Geom., Tome 84 (2010) no. 1, p. 87-126 / Harvested from Project Euclid
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We study the spaces of locally finite stability conditions on the derived categories of coherent sheaves on the minimal resolutions of $A_n$-singularities supported at the exceptional sets. Our main theorem is that they are connected and simply-connected. The proof is based on the study of spherical objects in A. Ishii and H. Uehara, "Autoequivalences of derived categories on the minimal resolutions of $A_n$-singularities on surfaces", J. Differential Geom., 71(3):385–435, 2005, and the homological mirror symmetry for $A_n$-singularities.
Publié le : 2010-01-15
Classification:  
@article{1271271794,
     author = {Ishii, Akira and Ueda, Kazushi and Uehara, Hokuto},
     title = {Stability Conditions on An-Singularities},
     journal = {J. Differential Geom.},
     volume = {84},
     number = {1},
     year = {2010},
     pages = { 87-126},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1271271794}
}

Ishii, Akira; Ueda, Kazushi; Uehara, Hokuto. Stability Conditions on An-Singularities. J. Differential Geom., Tome 84 (2010) no. 1, pp.  87-126. http://gdmltest.u-ga.fr/item/1271271794/