The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “A Torelli theorem for moduli spaces of principal bundles over a curve”

Orthogonal bundles on curves and theta functions

Arnaud Beauville (2006)

Annales de l’institut Fourier

Similarity:

Let ℳ be the moduli space of principal SO r -bundles on a curve C , and ℒ the determinant bundle on ℳ . We define an isomorphism of H 0 ( ℳ , ℒ ) onto the dual of the space of r -th order theta functions on the Jacobian of C . This isomorphism identifies the rational map ℳ ⇢ | ℒ | * defined by the linear system | ℒ | with the map ℳ ⇢ | r Θ | which associates to a quadratic bundle ( E , q ) the theta divisor Θ E . The two components ℳ + and ℳ - of ℳ are mapped into the subspaces of even and odd theta functions respectively. Finally we discuss...

About G -bundles over elliptic curves

Yves Laszlo (1998)

Annales de l'institut Fourier

Similarity:

Let G be a complex algebraic group, simple and simply connected, T a maximal torus and W the Weyl group. One shows that the coarse moduli space M G ( X ) parametrizing S -equivalence classes of semistable G -bundles over an elliptic curve X is isomorphic to [ Γ ( T ) ⊗ Z X ] / W . By a result of Looijenga, this shows that M G ( X ) is a weighted projective space.

Numerical character of the effectivity of adjoint line bundles

Frédéric Campana, Vincent Koziarz, Mihai Păun (2012)

Annales de l’institut Fourier

Similarity:

In this note we show that, for any log-canonical pair ( X , Δ ) , K X + Δ is ℚ -effective if its Chern class contains an effective ℚ -divisor. Then, we derive some direct corollaries.

Unramified Brauer group of the moduli spaces of PGLr(ℂ)-bundles over curves

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.

The Frobenius action on rank 2 vector bundles over curves in small genus and small characteristic

Laurent Ducrohet (2009)

Annales de l’institut Fourier

Similarity:

Let X be a general proper and smooth curve of genus 2 (resp. of genus 3 ) defined over an algebraically closed field of characteristic p . When 3 ≤ p ≤ 7 , the action of Frobenius on rank 2 semi-stable vector bundles with trivial determinant is completely determined by its restrictions to the 30 lines (resp. the 126 Kummer surfaces) that are invariant under the action of some order 2 line bundle over X . Those lines (resp. those Kummer surfaces) are closely related to the elliptic curves (resp....