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math.AG2022★ 4 cited
Geometric vertex decomposition, Gröbner bases, and Frobenius splittings for regular nilpotent Hessenberg varieties
Sergio Da Silva, Megumi Harada
We initiate a study of the Gröbner geometry of local defining ideals of Hessenberg varieties by studying the special case of regular nilpotent Hessenberg varieties in Lie type A, a…
math.AG2022
Degenerations of Pascal Lines
Jaydeep Chipalkatti, Sergio Da Silva
Let denote a nonsingular conic in the complex projective plane. Pascal's theorem says that, given six distinct points on , the three inters…