Browsing 2009 by MSC "16"

Now showing items 1-3 of 3

    • Homological properties of piecewise hereditary algebras 

      [OWP-2009-11] Happel, Dieter; Zacharia, Dan (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-05)
      Let $\Lambda$ be a finite dimensional algebra over an algebraically closed field $k$. We will investigate homological properties of piecewise hereditary algebras $\Lambda$. In particular we give lower and upper bounds of ...

    • Simple vector bundles on plane degenerations of an elliptic curve 

      [OWP-2009-20] Bodnarchuk, Lesya; Drozd, Jurij A.; Greuel, Gert-Martin (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-13)
      In 1957 Atiyah classified simple and indecomposable vector bundles on an elliptic curve. In this article we generalize his classification by describing the simple vector bundles on all reduced plane cubic curves. Our main ...

    • Tilting on non-commutative rational projective curves 

      [OWP-2009-14] Burban, Igor; Drozd, Jurij A. (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-08)
      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 ...