35 citations · 170 across the 22 of their papers we have counts for
Showing 2017 · math.AGShow all
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math.AG2017★ 1 cited
Geometric invariant theory of syzygies, with applications to moduli spaces
Maksym Fedorchuk
We define syzygy points of projective schemes, and introduce a program of studying their GIT stability. Then we describe two cases where we have managed to make some progress in th…
math.AG2017★ 8 cited
Direct sum decomposability of polynomials and factorization of associated forms
Maksym Fedorchuk
We prove two criteria for direct sum decomposability of homogeneous polynomials. For a homogeneous polynomial with a non-zero discriminant, we interpret direct sum decomposability…
math.AG2017
Stability of associated forms
Maksym Fedorchuk, Alexander Isaev
We show that the associated form, or equivalently a Macaulay inverse system, of an Artinian complete intersection of type is polystable. As an application, we obtain…