74 citations · 304 across the 21 of their papers we have counts for
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math.AG2015★ 8 cited
The boundary of the orbit of the 3 by 3 determinant polynomial
Jesko Hüttenhain, Pierre Lairez
We consider the 3 by 3 determinant polynomial and we describe the limit points of the set of all polynomials obtained from the determinant polynomial by linear change of variables.…
math.AG2015★ 3 cited
Computing the Chow variety of quadratic space curves
Peter Bürgisser, Kathlén Kohn, Pierre Lairez +1
Quadrics in the Grassmannian of lines in 3-space form a 19-dimensional projective space. We study the subvariety of coisotropic hypersurfaces. Following Gel'fand, Kapranov and Zele…
math.NA2015★ 25 cited
A deterministic algorithm to compute approximate roots of polynomial systems in polynomial average time
Pierre Lairez
We describe a deterministic algorithm that computes an approximate root of n complex polynomial equations in n unknowns in average polynomial time with respect to the size of the i…