The Terracini locus is the locus of all finite subsets S of of cardinality x such that,, and. The celebrated Alexander-Hirschowitz Theorem classifies the triples (n, d, x) for which. Here we fully characterize the next step in the case, namely, we prove that has at least one irreducible component of dimension if and only if either, or, and.
Terracini loci and a codimension one Alexander-Hirschowitz theorem / Ballico, E., Brambilla, M.C., Fontanari, C.. - In: COLLECTANEA MATHEMATICA. - ISSN 2038-4815. - STAMPA. - (2025). [Epub ahead of print] [10.1007/s13348-025-00498-4]
Terracini loci and a codimension one Alexander-Hirschowitz theorem
Maria Chiara Brambilla
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2025-01-01
Abstract
The Terracini locus is the locus of all finite subsets S of of cardinality x such that,, and. The celebrated Alexander-Hirschowitz Theorem classifies the triples (n, d, x) for which. Here we fully characterize the next step in the case, namely, we prove that has at least one irreducible component of dimension if and only if either, or, and.File in questo prodotto:
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