Geometric structures on finite- and infinite-dimensional Grassmannians

Mathematics – Algebraic Geometry

Scientific paper

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Correction of two typos

Scientific paper

In this paper, we study the Grassmannian of n-dimensional subspaces of a
2n-dimensional vector space and its infinite-dimensional analogues. Such a
Grassmannian can be endowed with two binary relations (adjacent and distant),
with pencils (lines of the Grassmann space) and with so-called Z-reguli. We
analyse the interdependencies among these different structures.

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