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arXiv:2212.05811 [math.AG]AbstractReferencesReviewsResources

Identifiability and singular locus of secant varieties to Grassmannians

Vincenzo Galgano, Reynaldo Staffolani

Published 2022-12-12Version 1

In this work we determine the singular locus of the secant variety (of lines) to a Grassmannian Gr(k,V) using its structure as SL(V)-variety. We solve the problems of identifiability and tangential-identifiability of points in the secant variety: as a consequence, we also determine the second Terracini locus to a Grassmannian.

Comments: 27 pages
Categories: math.AG
Subjects: 14M15, 14M17, 14N07
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