17 citations · 115 across the 43 of their papers we have counts for
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math.AC2007
Degree Bounds for Gröbner Bases in Algebras of Solvable Type
Matthias Aschenbrenner, Anton Leykin
We establish doubly-exponential degree bounds for Gröbner bases in certain algebras of solvable type over a field (as introduced by Kandri-Rody and Weispfenning). The class of alge…
math.AG2007
Galois groups of Schubert problems via homotopy computation
Anton Leykin, Frank Sottile
Numerical homotopy continuation of solutions to polynomial equations is the foundation for numerical algebraic geometry, whose development has been driven by applications of mathem…