On the transversality of restricted linear systems
Abstract
In this paper we prove a generalization of the Transversality Lemma first proved by Hirschowitz [5] and later by Ciliberto and Miranda [1]. We plan to use this lemma to calculate the dimensions of the linear systems of plane curves with homogeneous vanishing conditions, using a degeneration technique developed by Ciliberto and Miranda.The authors retain all rights to the original work without any restrictions.
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