Maximal disjoint Schubert cycles in rational homogeneous varieties

In this paper, we study properties of the Chow ring of rational homogeneous varieties of classical type, more concretely, effective zero divisors of low codimension, and a related invariant called effective good divisibility. This information is then used to study the question of (non)existence of n...

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Bibliographic Details
Published in:Mathematische Nachrichten 2024-01, Vol.297 (1), p.174-194
Main Authors: Muñoz, Roberto, Occhetta, Gianluca, Solá Conde, Luis E.
Format: Article
Language:English
Subjects:
Cycle ratio
Homogeneous varieties
Schubert calculus
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Summary:In this paper, we study properties of the Chow ring of rational homogeneous varieties of classical type, more concretely, effective zero divisors of low codimension, and a related invariant called effective good divisibility. This information is then used to study the question of (non)existence of nonconstant maps among these varieties, generalizing previous results for projective spaces and Grassmannians.
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.202300036