On the geometry of spherical varieties
N Perrin - Transformation Groups, 2014 - Springer
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Singularities of generalized Richardson varieties
Richardson varieties play an important role in intersection theory and in the geometric
interpretation of the Littlewood–Richardson Rule for flag varieties. We discuss three natural …
interpretation of the Littlewood–Richardson Rule for flag varieties. We discuss three natural …
Tautological projection for cycles on the moduli space of abelian varieties
We define a tautological projection operator for algebraic cycle classes on the moduli space
of principally polarized abelian varieties $\mathcal {A} _g $: every cycle class decomposes …
of principally polarized abelian varieties $\mathcal {A} _g $: every cycle class decomposes …
Positivity of Chern classes of Schubert cells and varieties
J Huh - arXiv preprint arXiv:1302.5852, 2013 - arxiv.org
arXiv:1302.5852v3 [math.AG] 31 May 2014 Page 1 arXiv:1302.5852v3 [math.AG] 31 May
2014 Positivity of Chern classes of Schubert cells and varieties June Huh Abstract We show …
2014 Positivity of Chern classes of Schubert cells and varieties June Huh Abstract We show …
The rigidity problem in orthogonal grassmannians
Y Liu - arXiv preprint arXiv:2210.14540, 2022 - arxiv.org
We classify rigid Schubert classes in orthogonal Grassmannians. More generally, given a
representative $ X $ of a Schubert class in an orthogonal Grassmannian, we give …
representative $ X $ of a Schubert class in an orthogonal Grassmannian, we give …
Fano manifolds of index n− 2 and the cone conjecture
I Coskun, A Prendergast-Smith - Mathematical Proceedings of the …, 2019 - cambridge.org
The Morrison–Kawamata Cone Conjecture predicts that the action of the automorphism
group on the effective nef cone and the action of the pseudo-automorphism group on the …
group on the effective nef cone and the action of the pseudo-automorphism group on the …
Rigidity of Schubert classes in orthogonal Grassmannians
I Coskun - Israel Journal of Mathematics, 2014 - Springer
A Schubert class σ in the cohomology of a homogeneous variety X is called rigid if the only
projective subvarieties of X representing σ are Schubert varieties. A Schubert class σ is …
projective subvarieties of X representing σ are Schubert varieties. A Schubert class σ is …
[HTML][HTML] Flexibility of Schubert classes
In this note, we discuss the flexibility of Schubert classes in homogeneous varieties. We give
several constructions for representing multiples of a Schubert class by irreducible …
several constructions for representing multiples of a Schubert class by irreducible …
Effective cycles on blow-ups of Grassmannians
J Kopper - Journal of Pure and Applied Algebra, 2018 - Elsevier
In this paper we study the pseudoeffective cones of blow-ups of Grassmannians at sets of
points. For small numbers of points, the cones are often spanned by proper transforms of …
points. For small numbers of points, the cones are often spanned by proper transforms of …
Rigidity of equivariant Schubert classes
AS Buch, PE Chaput, N Perrin - arXiv preprint arXiv:2409.11387, 2024 - arxiv.org
We prove that Schubert varieties in flag manifolds are uniquely determined by their
equivariant cohomology classes, as well as a stronger result that replaces Schubert varieties …
equivariant cohomology classes, as well as a stronger result that replaces Schubert varieties …