Displaying similar documents to “The optimality of the Bounded Height Conjecture”

The Mordell–Lang question for endomorphisms of semiabelian varieties

Dragos Ghioca, Thomas Tucker, Michael E. Zieve (2011)

Journal de Théorie des Nombres de Bordeaux

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The Mordell–Lang conjecture describes the intersection of a finitely generated subgroup with a closed subvariety of a semiabelian variety. Equivalently, this conjecture describes the intersection of closed subvarieties with the set of images of the origin under a finitely generated semigroup of translations. We study the analogous question in which the translations are replaced by algebraic group endomorphisms (and the origin is replaced by another point). We show that the conclusion...

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.