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math.AC2005★ 2 cited
Combinatorial secant varieties
Bernd Sturmfels, Seth Sullivant
The construction of joins and secant varieties is studied in the combinatorial context of monomial ideals. For ideals generated by quadratic monomials, the generators of the secant…
math.AC2003
Ideals of Adjacent Minors
Serkan Hosten, Seth Sullivant
We give a description of the minimal primes of the ideal generated by the 2 x 2 adjacent minors of a generic matrix. We also compute the complete prime decomposition of the ideal o…