We establish an explicit combinatorial/homological characterization of supports for linear degenerations of flag varieties. For such purpose, we introduce the concept of an excessive multisegment. It provides a new class of combinatorial objects counted by Motzkin numbers.
Motzkin combinatorics in linear degenerations of the flag variety / CERULLI IRELLI, Giovanni; Esposito, Francesco; Marietti, Mario. - In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES. - ISSN 1073-7928. - (2023). [10.1093/imrn/rnad063]
Motzkin combinatorics in linear degenerations of the flag variety
Giovanni Cerulli IrelliMembro del Collaboration Group
;
2023
Abstract
We establish an explicit combinatorial/homological characterization of supports for linear degenerations of flag varieties. For such purpose, we introduce the concept of an excessive multisegment. It provides a new class of combinatorial objects counted by Motzkin numbers.File allegati a questo prodotto
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