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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.AC2022★ 1 cited
Geometric vertex decomposition and liaison for toric ideals of graphs
Mike Cummings, Sergio Da Silva, Jenna Rajchgot +1
The geometric vertex decomposability property for polynomial ideals is an ideal-theoretic generalization of the vertex decomposability property for simplicial complexes. Indeed, 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…