printable pdf
比利时vs摩洛哥足彩 ,
university of california san diego

****************************

advancement to candidacy

jacob keller

uc san diego

k stability and moduli spaces of vector bundles

abstract:

recently there has been great progress in constructing moduli spaces of k-stable fano varieties, and there are many questions to ask about the geometry of these moduli spaces. the question i am considering is whether they are uniruled. my goal is to show that there are components of these moduli spaces that are general type, answering that question in the negative. i wish to do this by studying moduli spaces of vector bundles on curves, showing they are k-stable, and studying the components of the moduli space of k-stable fano varieties that parametrize them.

advisor: james mckernan

june 4, 2021

11:00 am

email jacob keller for the zoom information

****************************