124 citations · 493 across the 32 of their papers we have counts for
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math.AG2013★ 8 cited
The 3 x 3 x 3 hyperdeterminant as a polynomial in the fundamental invariants for SL(3,C) x SL(3,C) x SL(3,C)
Murray Bremner, Jiaxiong Hu, Luke Oeding
We briefly review previous work on the invariant theory of 3 x 3 x 3 arrays. We then recall how to generate arrays of arbitrary size m_1 x ... x m_k with hyperdeterminant 0. Our ma…
math.AG2013★ 22 cited
Four lectures on secant varieties
E. Carlini, N. Grieve, L. Oeding
This paper is based on the first author's lectures at the 2012 University of Regina Workshop "Connections Between Algebra and Geometry". Its aim is to provide an introduction to th…
math.AG2013★ 26 cited
Secant cumulants and toric geometry
Mateusz Michalek, Luke Oeding, Piotr Zwiernik
We study the secant line variety of the Segre product of projective spaces using special cumulant coordinates adapted for secant varieties. We show that the secant variety is cover…