Browsing 2009 by MSC "14"

Now showing items 1-3 of 3

    • On the non-analyticity locus of an arc-analytic function 

      [OWP-2009-03] Kurdyka, Krzysztof; Parusinski, Adam (Mathematisches Forschungsinstitut Oberwolfach, 2009-02-21)
      A function is called arc-analytic if it is real analytic on each real analytic arc. In real analytic geometry there are many examples of arc-analytic functions that are not real analytic. Arc analytic functions appear ...

    • 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 ...