The line bundles on the moduli of parabolic -bundles over curves and their sections
Yves Laszlo, Christoph Sorger (1997)
Annales scientifiques de l'École Normale Supérieure
Similarity:
Yves Laszlo, Christoph Sorger (1997)
Annales scientifiques de l'École Normale Supérieure
Similarity:
Indranil Biswas, Amit Hogadi, Yogish Holla (2014)
Open Mathematics
Similarity:
Let X be an irreducible smooth complex projective curve of genus g, with g ≥ 2. Let N be a connected component of the moduli space of semistable principal PGLr (ℂ)-bundles over X; it is a normal unirational complex projective variety. We prove that the Brauer group of a desingularization of N is trivial.
Norbert Hoffmann (2012)
Open Mathematics
Similarity:
Let C be a smooth projective curve over an algebraically closed field of arbitrary characteristic. Let M r,Lss denote the projective coarse moduli scheme of semistable rank r vector bundles over C with fixed determinant L. We prove Pic(M r,Lss) = ℤ, identify the ample generator, and deduce that M r,Lss is locally factorial. In characteristic zero, this has already been proved by Drézet and Narasimhan. The main point of the present note is to circumvent the usual problems with Geometric...
Indranil Biswas, Amit Hogadi, Yogish Holla (2012)
Open Mathematics
Similarity:
Let C be an irreducible smooth projective curve, of genus at least two, defined over an algebraically closed field of characteristic zero. For a fixed line bundle L on C, let M C (r; L) be the coarse moduli space of semistable vector bundles E over C of rank r with ∧r E = L. We show that the Brauer group of any desingularization of M C(r; L) is trivial.
Huashi Xia (1995)
Compositio Mathematica
Similarity:
Yves Laszlo (1998)
Annales de l'institut Fourier
Similarity:
Let be a complex algebraic group, simple and simply connected, a maximal torus and the Weyl group. One shows that the coarse moduli space parametrizing -equivalence classes of semistable -bundles over an elliptic curve is isomorphic to . By a result of Looijenga, this shows that is a weighted projective space.
Georg Hein (2009)
Open Mathematics
Similarity:
We show that the moduli space of SUX (r, L) of rank r bundles of fixed determinant L on a smooth projective curve X is separably unirational.
Heinloth, Jochen, Schmitt, Alexander H.W. (2010)
Documenta Mathematica
Similarity:
Yves Laszlo (1997)
Bulletin de la Société Mathématique de France
Similarity: