Nearly Toric Varieties of Type A

Authors

MAHİR BİLEN CANFollow
NESTOR FERNANDO DIAZ MORERAFollow

Author ORCID Identifier

MAHİR BİLEN CAN: 0000-0002-0175-4897

NESTOR FERNANDO DIAZ MORERA: 0000-0002-5523-3990

Abstract

A notion of a nearly toric variety is introduced. The examples of nearly toric varieties in the context of Schubert varieties are discussed. In particular, combinatorial characterizations of the smooth and singular nearly toric Schubert varieties are found. Furthermore, the counts and generating series are determined. Additionally, a connection between Dyck paths and a certain family of nearly toric Schubert varieties is established.

DOI

10.55730/1300-0098.3574

Keywords

Dyck paths, pattern avoidance, partition Schubert varieties, spherical varieties, complexity one Schubert varieties

First Page

65

Last Page

95

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

CAN, MAHİR BİLEN and DIAZ MORERA, NESTOR FERNANDO (2025) "Nearly Toric Varieties of Type A," Turkish Journal of Mathematics: Vol. 49: No. 1, Article 6. https://doi.org/10.55730/1300-0098.3574
Available at: https://journals.tubitak.gov.tr/math/vol49/iss1/6