14 citations · 53 across the 54 of their papers we have counts for
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(Equivariant) Cohomology of Homogeneous Spaces Associated with Composition Algebras
Mahir Bilen Can, Ana Casimiro, Ferruh Özbudak
We study homogeneous spaces arising from embeddings of associative composition algebras of dimensions 2 and 4, with particular emphasis on the Hamiltonian quaternion algebra. For i…
From Schubert Varieties to Doubly-Spherical Varieties
Mahir Bilen Can, S. Senthamarai Kannan, Pinakinath Saha
Horospherical Schubert varieties are determined. It is shown that the stabilizer of an arbitrary point in a Schubert variety is a strongly solvable algebraic group. The connectedne…
Irreducible Unipotent Numerical Monoids
Mahir Bilen Can, Naufil Sakran
In our earlier article~\cite{CanSakran} we initiated a study of the complement-finite submonoids of the group of integer points of a unipotent linear algebraic group. In the presen…
Locally Semialgebraic Superspaces and Nash Supermanifolds
Mahir Bilen Can
In this article, we present a novel theory of locally semialgebraic superspaces along with Nash supermanifolds. By adapting Batchelor's theorem to our framework, we show that all l…
Toric Richardson Varieties
Mahir Bilen Can, Pinakinath Saha
In this article, we provide characterizations of toric Richardson varieties across all types through three distinct approaches: 1) poset theory, 2) root theory, and 3) geometry.
-Orbit closures and Hessenberg varieties
Mahir Bilen Can, Martha Precup, John Shareshian +1
This article explores the relationship between Hessenberg varieties associated with semisimple operators with two eigenvalues and orbit closures of a spherical subgroup of the gene…