2 papers
math.AC2024
The minimal free resolution of a generic symmetric principal ideal
Megumi Harada, Alexandra Seceleanu, Liana Åega
We introduce the class of principal symmetric ideals, which are ideals generated by the orbit of a single polynomial under the action of the symmetric group. Fixing the degree of t…
math.AG2024
The cohomology rings of regular nilpotent Hessenberg varieties
Megumi Harada, Tatsuya Horiguchi
This manuscript is a contributed chapter in the forthcoming CRC Press volume, titled the Handbook of Combinatorial Algebraic Geometry: Subvarieties of the Flag Variety. The book, a…