On spinor varieties and their secants.

Manivel, Laurent

Displaying similar documents to “On spinor varieties and their secants.”

Pieri-type formulas for maximal isotropic Grassmannians via triple intersections

Frank Sottile (1999)

Colloquium Mathematicae

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We give an elementary proof of the Pieri-type formula in the cohomology ring of a Grassmannian of maximal isotropic subspaces of an orthogonal or symplectic vector space. This proof proceeds by explicitly computing a triple intersection of Schubert varieties. The multiplicities (which are powers of 2) in the Pieri-type formula are seen to arise from the intersection of a collection of quadrics with a linear space.

Singularities of affine Schubert varieties.

Kuttler, Jochen, Lakshmibai, Venkatramani (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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A class of discriminant varieties in the conformal 3-sphere.

Baird, Paul, Gallardo, Luis (2002)

Beiträge zur Algebra und Geometrie

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On the secant varieties to the osculating variety of a Veronese surface

E. Ballico, C. Fontanari (2003)

Open Mathematics

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In this paper we study the k-th osculating variety of the order d Veronese embedding of P n. In particular, for k=n=2 we show that the corresponding secant varieties have the expected dimension except in one case.

Proof of the Knop conjecture

Ivan V. Losev (2009)

Annales de l’institut Fourier

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In this paper we prove the Knop conjecture asserting that two smooth affine spherical varieties with the same weight monoid are equivariantly isomorphic. We also state and prove a uniqueness property for (not necessarily smooth) affine spherical varieties.