
Projective aspects of the geometry of Lagrangian Grassmannians and Spinor varieties
2019; Elsevier BV; Volume: 159; Linguagem: Inglês
10.1016/j.bulsci.2019.102829
ISSN1952-4773
AutoresAgeu Barbosa Freire, Alex Massarenti, Rick Rischter,
Tópico(s)Algebraic Geometry and Number Theory
ResumoWe study the projective behavior, mainly with respect to osculating spaces and secant varieties, of Lagrangian Grassmannians and Spinor varieties. In particular, we give numerical conditions ensuring the non secant defectivity of Lagrangian Grassmannians in their Plücker embedding and of Spinor varieties in both their Plücker and Spinor embeddings.
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