On the essential (p)-dimension of parabolic bundles on a curve

2020/01/14 by Dhillon, Ajneet, Valluri, Dinesh
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2001.04924

Abstract

We study the essential dimension and essential p-dimension of the moduli stack of vector bundles over a smooth orbifold curve containing a rational point. We improve the known bounds on this essential dimension and obtain an equality modulo the famous conjecture of Colliot-Thelene, Karpenko and Merkurjev. In the case of essential p-dimension we obtain an equality.

Related

• The Essential Dimension of Stacks of Parabolic Vector Bundles over Curves
• On the essential dimension of symplectic vector bundles over curves
• Upper bounds for the essential dimension of the moduli stack of \sl_n-bundles over a curve
• The very good property for parabolic vector bundles over curves
• Geometry of the moduli of parabolic bundles on elliptic curves