Invariants in Commutative Algebra: combinatorial aspects and prime characteristic techniques

这个项目的目的是探索交换代数中各种对象的各种不变量，其中Frobenius自同态(素特征)或附加的组合结构给出了一个可能的处理。具体地说，项目最初的目的是描述(1)局部上同调模的附着素和次级分解，(2)在素特征的二项式边理想中生成局部上同调模的根。

The aim of the project is to explore various invariants of various objects in commutative algebra where either the Frobenius endomorphism (prime characteristic) or additional combinatorial structure gives one a possible handle.Specifically, the project will initially aim to describe (1) the attached primes and secondary decompositions of local cohomology modules and (2) generating roots of local cohomology modules with support in binomial edge ideals in prime characteristic.