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- W2893007056 abstract "We generalize methods to compute various kinds of rank to the case of a toric variety $X$ embedded into projective space using a very ample line bundle $mathcal{L}$. We find an upper bound on the cactus rank. We use this to compute rank, border rank, and cactus rank of monomials in $H^0(X,mathcal{L})^*$ when $X$ is $mathbb{P}^1 times mathbb{P}^1$, the Hirzebruch surface $mathbb{F}_1$, the weighted projective plane $mathbb{P}(1,1,4)$, or a fake weighted projective plane." @default.
- W2893007056 created "2018-10-05" @default.
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- W2893007056 date "2016-01-23" @default.
- W2893007056 modified "2023-09-27" @default.
- W2893007056 title "Multigraded Apolarity." @default.
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