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Seminar on Algebraic, Complex Geometry and Singularities
Upper and lower bound estimates for the dimension of $D^n_{A_{(k,s)}(V)/mathbb{C}}$ of an isolated hypersurface singularity V.
Upper and lower bound estimates for the dimension of $D^n_{A_{(k,s)}(V)/mathbb{C}}$ of an isolated hypersurface singularity V.
组织者
演讲者
陶斯咏
时间
2024年02月07日 21:00 至 22:00
地点
Online
摘要
Let (V,0) be an isolated hypersurface singularity defined by a polynomial f at the orgin. $A_{(k,s)}(V)$ is the (k,s)-th Tjurina algebra (if s=1, it is just the k-th Tjurian algebra). Fixed s≥1,...Here $D^n_{A_{(k,s)}(V)/mathbb{C}$ is the set of n-th differential operators of A_{(k,s)}(V) over $mathbb{C}$. Also I will give a theorem about the relationship between $D^n_{Aotimes B/mathbb{k}}$ and $D^i_{A/mathbb{k}}otimes D^j_{A/mathbb{k}}, i+j≤n$.