论文标题

在曲线上的抛物线束的基本(P) - 限制

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

论文作者

Dhillon, Ajneet, Valluri, Dinesh

论文摘要

我们研究了载体束的模量堆栈的基本维度和必需的p维数,并在包含合理点的光滑轨道曲线上。我们改善了这一基本维度的已知界限,并获得了平等模量,即Colliot-Thelene,Karpenko和Merkurjev的著名猜想。在基本p维度的情况下,我们获得平等。

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.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源