102 citations · 200 across the 13 of their papers we have counts for
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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.AC2002
The Graph of Monomial Ideals
Klaus Altmann, Bernd Sturmfels
There is a natural infinite graph whose vertices are the monomial ideals in a polynomial ring. The definition involves Gröbner bases or the action of an algebraic torus. We present…
math.AC1998
Generic and Cogeneric Monomial Ideals
Ezra Miller, Bernd Sturmfels, Kohji Yanagawa
Monomial ideals which are generic with respect to either their generators or irreducible components have minimal free resolutions derived from simplicial complexes. For a generic m…