Secant varieties to osculating varieties of Veronese embeddings of P^n

Autor: Alessandra Bernardi, Alessandro Gimigliano, Maria Virginia Catalisano, Monica Idà

Publikováno v: Journal of Algebra
Journal of Algebra, 2009, 321 (3), pp.982-1004. ⟨10.1016/j.jalgebra.2008.10.020⟩
Journal of Algebra, Elsevier, 2009, 321 (3), pp.982-1004. ⟨10.1016/j.jalgebra.2008.10.020⟩
Bernardi, Alessandra ; Catalisano, Maria Virginia ; Gimigliano, Alessandro ; Idà, Monica (2008) Secant varieties to osculating varieties of Veronese embeddings of $P^n$. [Preprint]

International audience; A well known theorem by Alexander-Hirschowitz states that all the higher secant varieties of $V_{n,d}$ (the $d$-uple embedding of $\PP n$) have the expected dimension, with few known exceptions. We study here the same problem

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f5efe452a720a5726bc5bdb1d846f96
https://inria.hal.science/hal-00645970