𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Relatively Stable Bundles over Elliptic Fibrations

✍ Scribed by Claudio Bartocci; Ugo Bruzzo; Daniel Hernández Ruipérez; José M. Muñoz Porras


Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
216 KB
Volume
238
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Stable sheaves on elliptic fibrations
✍ D.Hernández Ruipérez; J.M. Muñoz Porras 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 193 KB

Let X → B be an elliptic surface and M(a, b) the moduli space of torsion-free sheaves on X which are stable of relative degree zero with respect to a polarization of type aH + bµ, H being the section and µ the elliptic fibre (b 0). We characterize the open subscheme of M(a, b) which is isomorphic, v

Semistable Bundles over an Elliptic Curv
✍ L.W. Tu 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 772 KB

We identify the moduli space \(\cdot \mathscr{h}_{n, d}\) of semistable bundles of rank \(n\) and degree \(d\) on an elliptic curve \(C\) as a symmetric product of the curve, its dimension being the greatest common divisor of \(n\) and \(d\). Under this identification the determinant map det: \(\mat

Vector bundles of degree zero over an el
✍ Silke Lekaus 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 66 KB

In this Note we study indecomposable vector bundles of degree zero over an elliptic curve. We show that each bundle generates a ring and a Tannakian category, such that the ring and the group scheme associated to the Tannakian category are of the same dimension. Furthermore we show that the result d