556 citations
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math.AG2009★ 6 cited
Totally nonnegative cells and matrix Poisson varieties
K. R. Goodearl, S. Launois, T. H. Lenagan
We describe explicitly the admissible families of minors for the totally nonnegative cells of real matrices, that is, the families of minors that produce nonempty cells in the cell…
math.AG2008★ 1 cited
Elliptic fibrations on cubic surfaces
Gavin Brown, Daniel Ryder
We classify elliptic fibrations birational to a nonsingular, minimal cubic surface over a field of characteristic zero. Our proof is adapted to provide computational techniques for…