F. Holweck

activity

20122023

most citedEntanglement of four qubit systems: a geometric atlas with polynomial compass I (the finite world)

27 citations · 299 across the 36 of their papers we have counts for

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math.AG2022

Toward Jordan Decompositions of Tensors

Frederic Holweck, Luke Oeding

We expand on an idea of Vinberg to take a tensor space and the natural Lie algebra that acts on it and embed their direct sum into an auxiliary algebra. Viewed as endomorphisms of…

math.AG2018★ 5 cited

Hyperdeterminants from the $E_{8}$ Discriminant

Frédéric Holweck, Luke Oeding

We find expressions of the polynomials defining the dual varieties of Grassmannians $G r (3, 9)$ and $G r (4, 8)$ both in terms of the fundamental invariants and in terms of a generic se…

math.AG2012

Singularities of duals of Grassmannians

Frédéric Holweck

Let $X$ be a smooth irreducible nondegenerate projective variety and let $X^{*}$ denote its dual variety. It is well known that $σ_{2} (X)^{*}$ , the dual of the 2-secant variety of $X$ , i…

Toward Jordan Decompositions of Tensors

Hyperdeterminants from the E8​ Discriminant

Singularities of duals of Grassmannians

Hyperdeterminants from the $E_{8}$ Discriminant