On Nori's Obstruction to Universal Bundles
Emre Coskun, Ajneet Dhillon, Nicole Lemire

TL;DR
This paper proves that for certain classical groups, no universal principal bundle exists over any Zariski open subset of the moduli space of semistable bundles on a curve.
Contribution
It establishes the non-existence of universal bundles over Zariski open subsets for moduli spaces associated with $SL_n$, $Sp(2n)$, and $SO(2n)$ groups.
Findings
No universal bundle exists on any Zariski open subset of the moduli space.
The result applies to classical groups $SL_n$, $Sp(2n)$, and $SO(2n)$.
The proof involves geometric and algebraic techniques related to the structure of the moduli space.
Abstract
Let be or SO(2n). We consider the moduli space of semistable principal -bundles over a curve . Our main result is that if is a Zariski open subset of then there is no universal bundle on .
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometric and Algebraic Topology
