We compute the dimensions of all the secant varieties to the tangential varieties of all Segre–Veronese surfaces. We exploit the typical approach of computing the Hilbert function of special 0-dimensional schemes on projective plane by using a new degeneration technique.
Tangential varieties of Segre–Veronese surfaces are never defective / Catalisano, M. V.; Oneto, A.. - In: REVISTA MATEMATICA COMPLUTENSE. - ISSN 1139-1138. - 33:1(2020), pp. 295-324. [10.1007/s13163-019-00305-2]
Tangential varieties of Segre–Veronese surfaces are never defective
Oneto A.
2020-01-01
Abstract
We compute the dimensions of all the secant varieties to the tangential varieties of all Segre–Veronese surfaces. We exploit the typical approach of computing the Hilbert function of special 0-dimensional schemes on projective plane by using a new degeneration technique.File in questo prodotto:
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