124 citations · 493 across the 32 of their papers we have counts for
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math.AG2010★ 8 cited
Secant varieties of P^2 x P^n embedded by O(1,2)
Dustin Cartwright, Daniel Erman, Luke Oeding
We describe the defining ideal of the rth secant variety of P^2 x P^n embedded by O(1,2), for arbitrary n and r at most 5. We also present the Schur module decomposition of the spa…
math.AG2010★ 42 cited
Toward a salmon conjecture
Daniel J. Bates, Luke Oeding
By using a result from the numerical algebraic geometry package Bertini we show that (up to high numerical accuracy) a specific set of degree 6 and degree 9 polynomials cut out the…
math.AG2010★ 1 cited
Splitting criteria for vector bundles on the symplectic isotropic Grassmannian
Pedro Macias Marques, Luke Oeding
We extend a theorem of Ottaviani on cohomological splitting criterion for vector bundles over the Grassmannian to the case of the symplectic isotropic Grassmanian. We find necessar…