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arXiv · 1708.00028

Interpolation for Brill-Noether curves in $\mathbb{P}^4$

Eric Larson·Isabel Vogt
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Abstract

In this paper, we compute the number of general points through which a general Brill-Noether curve in $\mathbb{P}^4$ passes. We also prove an analogous theorem when some points are constrained to lie in a transverse hyperplane. As explained in arXiv:1809.05980, these results play an essential role in the first author's proof of the Maximal Rank Conjecture.

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Eric Larson, Isabel Vogt. 2017-07-31. Interpolation for Brill-Noether curves in $\mathbb{P}^4$. https://arxiv.org/abs/1708.00028

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