Introduction to K-stability and Fano manifolds

来源 :“代数几何中的模空间”天元高级研讨会(Tianyuan Advanced Seminar on the Moduli S | 被引量 : 0次 | 上传用户:yichunjekiyi
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
  In this preliminary lecture series,we will give an introduction to the theory of GIT-,K-,and KSBA stability of polarized varieties.It serves as a preparation to other more advanced topic.In particular,we will focus more the application of K-stability for the study of Fano vareities.
其他文献
We will describe some recent results on GL_2-representationsarised in the mod p cohomology of Shimura curves.It is partially based on a joint work with Haoran Wang.
会议
The theory of perfectoid Shimura varieties was first discovered and studied by Scholze as a key geometric tool to construct automorphic Galois representations in the Langlands program.In this talk,we
会议
In this talk we shall discuss the Néron models of algebraic curves defined over a discrete valuation field.Under some mild conditions,we will show its existence,and its relation with the minimal model
会议
In this talk, I will talk about the cohomological trace formula of crystals with a finite group action. As an application, I calculate the special L-values of abelian t-modules. This gives a function
会议
In a joint work with Farid Mokrane, we have constructed an étale torsor that extends the Igusa tower over some strict neighborhood of the ordinary locus of the Siegel variety. The construction is indi
会议
Let X be a smooth connected algebraic curve over an algebraically closed field k, let S be a finite closed subset in X, and let $\mathcal F$ be a lisse $\ell$-adic sheaf on $X-S$. We study the deforma
会议
Building on the work of Brunella,McQuillan has recently obtained some strong results on the Minimal Model Program for algebraic foliations on algebraic surfaces,generalising most of the important resu
会议
The multiplier ideal of an effective Q-divisor D relects the singularities of D and it has many interesting properties.We will talk about the definition and some geometric properties of multiplier ide
会议
Topics in each talk: Talk 1: We will discuss the notion of Ding-stability of Q-Fano varieties and show the equivalence between K-stability and Ding-stability,based on the work of Berman-Boucksom-Jonss
会议
In birational geometry,a typical way to measure singularities is via divisorial valuations,by comparing the order of vanishing to an invariant of the corresponding valuation,its log discrepancy.Invari
会议