Degenerations for derived categories
Jensen, Bernt Tore ; Su, Xiuping ; Zimmermann, Alexander
HAL, hal-00002966 / Harvested from HAL
We propose a theory of degenerations for derived module categories, analogous to degenerations in module varieties for module categories. In particular we define two types of degenerations, one algebraic and the other geometric. We show that these are equivalent, analogously to the Riemann-Zwara theorem for module varieties. Applications to tilting complexes are given, in particular that any two-term tilting complex is determined by its graded module structure.
Publié le : 2004-09-29
Classification:  [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT]
@article{hal-00002966,
     author = {Jensen, Bernt Tore and Su, Xiuping and Zimmermann, Alexander},
     title = {Degenerations for derived categories},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00002966}
}
Jensen, Bernt Tore; Su, Xiuping; Zimmermann, Alexander. Degenerations for derived categories. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00002966/