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- W2469868610 abstract "If $V$ is a projective subspace arrangement over an infinite field, consisting of $m$ irreducible components all intersecting in the empty set, and each of codimension $c_i,i=1,ldots,m$, then the arithmetic rank of the defining ideal of $V$ is bounded above by $displaystyle 1+sum_{i=1}^m(c_i-1)$. If the base field is algebraically closed, the bound is attainable by an entire class of examples that includes Hartshorne's example. The result comes as a corollary to an upper bound on the arithmetic rank of generalized star configuration varieties, and to a result that shows that any projective subspace arrangement can be interpolated by such a variety." @default.
- W2469868610 created "2016-07-22" @default.
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- W2469868610 date "2016-07-08" @default.
- W2469868610 modified "2023-09-26" @default.
- W2469868610 title "On the arithmetic rank of projective subspace arrangements" @default.
- W2469868610 hasPublicationYear "2016" @default.
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