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Mathematics > Algebraic Geometry

arXiv:1812.07474 (math)
[Submitted on 18 Dec 2018]

Title:Projective aspects of the Geometry of Lagrangian Grassmannians and Spinor varieties

Authors:Ageu Barbosa Freire, Alex Massarenti, Rick Rischter
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Abstract:We study the projective behavior, mainly with respect to osculating spaces and secant varieties, of Lagrangian Grassmannians and Spinor varieties. We prove that these varieties have osculating dimension smaller than expected. Furthermore, 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.
Comments: 20 pages
Subjects: Algebraic Geometry (math.AG); Representation Theory (math.RT)
MSC classes: Primary 14N05, 14N15, 14M15, Secondary 14E05, 15A69, 15A75
Cite as: arXiv:1812.07474 [math.AG]
  (or arXiv:1812.07474v1 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1812.07474

Submission history

From: Ageu Freire Barbosa [view email]
[v1] Tue, 18 Dec 2018 16:42:37 UTC (23 KB)
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