44 citations · 315 across the 37 of their papers we have counts for
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Unobstructed Stanley-Reisner Degenerations for Dual Quotient Bundles on
Nathan Ilten, Charles Turo
Let denote the dual of the quotient bundle on the Grassmannian . We prove that the ideal of in its natural embedding has initial ideal equal to the Stanley-Reis…
K-Stability for Fano Manifolds with Torus Action of Complexity One
Nathan Ilten, Hendrik Süß
We consider Fano manifolds admitting an algebraic torus action with general orbit of codimension one. Using a recent result of Datar and Szekelyhidi, we effectively determine the e…
Product Ranks of the Determinant and Permanent
Nathan Ilten, Zach Teitler
We show that the product rank of the determinant is , and the product rank of the permanent is . As a corollary, we obtain that the tensor ranks of th…
F-Split and F-Regular Varieties with a Diagonalizable Group Action
Piotr Achinger, Nathan Ilten, Hendrik Süß
Let be a diagonalizable group over an algebraically closed field of positive characteristic, and a normal -variety with an -action. Under a mild hypothesis, e.g.…