Filters

20091

More filters

20191
Reset filters

Settings

Author: Burban, Igor × Author: Drozd, Yuriy × End date: 2009 × Start date: 2001 × Has files: Yes × Type: Text × WGL Institute: MFO ×

Search Results

Now showing 1 - 1 of 1
  • Thumbnail Image
    Item
    Tilting on non-commutative rational projective curves
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2009) Burban, Igor; Drozd, Yuriy
    In this article we introduce a new class of non-commutative projective curves and show that in certain cases the derived category of coherent sheaves on them has a tilting complex. In particular, we prove that the right bounded derived category of coherent sheaves on a reduced rational projective curve with only nodes and cusps as singularities, can be fully faithfully embedded into the right bounded derived category of the finite dimensional representations of a certain finite dimensional algebra of global dimension two. As an application of our approach we show that the dimension of the bounded derived category of coherent sheaves on a rational projective curve with only nodal or cuspidal singularities is at most two. In the case of the Kodaira cycles of projective lines, the corresponding tilted algebras belong to a well-known class of gentle algebras. We work out in details the tilting equivalence in the case of the Weierstrass nodal curve zy2=x3+x2z.