@misc{Tarigradschi-Xu22,
  author     = {Tarigradschi, M. and Xu, W.},
  title      = {The isomorphism problem for Grassmannian Schubert varieties},
  eprint     = {2205.12814},
  eprinttype = {arxiv},
  year       = {2022}
}

@misc{Richmond-Slofstra21,
  author     = {Richmond, E. and Slofstra, W.},
  title      = {The isomorphism problem for Schubert varieties},
  eprint     = {2103.08114},
  eprinttype = {arxiv},
  year       = {2021}
}


@article{MR4099894,
  author   = {Richmond, E. and Slofstra, W. and Woo, A.},
  title    = {The {N}ash blow-up of a cominuscule {S}chubert variety},
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@article{Buch2013,
  abstract  = {The product of two Schubert classes in the quantum $K$-theory ring of a homogeneous space $X = G/P$ is a formal power series with coefficients in the Grothendieck ring of algebraic vector bundles on $X$. We show that if $X$ is cominuscule, then this power series has only finitely many non-zero terms. The proof is based on a geometric study of boundary Gromov-Witten varieties in the Kontsevich moduli space, consisting of stable maps to $X$ that take the marked points to general Schubert varieties and whose domains are reducible curves of genus zero. We show that all such varieties have rational singularities, and that boundary Gromov-Witten varieties defined by two Schubert varieties are either empty or unirational. We also prove a relative Kleiman-Bertini theorem for rational singularities, which is of independent interest. A key result is that when $X$ is cominuscule, all boundary Gromov-Witten varieties defined by three single points in $X$ are rationally connected.},
  author    = {Buch, A.S. and Chaput, P.-E. and Mihalcea, L.C. and Perrin, N.},
  journal   = {Annales scientifiques de l'École Normale Supérieure},
  keywords  = {quantum $K$-theory; Gromov-Witten varieties; rational singularities; rational connectedness; quantum Schubert calculus; cominuscule grassmannians},
  language  = {eng},
  number    = {3},
  pages     = {477-494},
  publisher = {Société mathématique de France},
  title     = {Finiteness of cominuscule quantum {$K$}-theory},
  url       = {http://eudml.org/doc/272224},
  volume    = {46},
  year      = {2013}
}

@article{BCMP18,
  author   = {Buch, A. S. and Chaput, P.-E. and Mihalcea,
              L. C. and Perrin, N.},
  title    = {A {C}hevalley formula for the equivariant quantum {$K$}-theory
              of cominuscule varieties},
  journal  = {Algebr. Geom.},
  fjournal = {Algebraic Geometry},
  volume   = {5},
  year     = {2018},
  number   = {5},
  pages    = {568--595},
  doi      = {10.14231/ag-2018-015}
}

@article{BCMP,
  title       = {{Projected {Gromov-Witten} varieties in cominuscule spaces}},
  author      = {Buch, A. S. and Chaput, P.-E. and Mihalcea, L. C. and Perrin, N.},
  journal     = {{Proceedings of the American Mathematical Society}},
  publisher   = {{American Mathematical Society}},
  volume      = {146},
  pages       = {3647-3660},
  year        = {2018},
  doi         = {10.1090/proc/13839},
  keywords    = {Schubert varieties ; flag manifolds ; Rational and unirational varieties ; Rationally connected varietes ; quantum cohomology ; Gromov-Witten invariants ; K-theory of schemes ; Classical problems ; Schubert calculus ; Grassmannians},
  hal_id      = {hal-02102704},
  hal_version = {v1}
}

@article{Chung,
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@article{buch2016k,
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@article{MR3552231,
  author   = {Richmond, E. and Slofstra, W.},
  title    = {Billey-{P}ostnikov decompositions and the fibre bundle
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  journal  = {Math. Ann.},
  fjournal = {Mathematische Annalen},
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  year     = {2016},
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@misc{buch2022positivity,
  title      = {Positivity of minuscule quantum {$K$}-theory},
  author     = {Buch, A. S. and Chaput, P.-E. and Mihalcea, L. C. and Perrin, N.},
  eprint     = {2205.08630},
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  year       = {2022}
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@article{develin_martin_reiner_2007,
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@incollection{Br05,
  author    = {Brion, M.},
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@article{Ol88,
  author   = {Mathieu, O.},
  title    = {Formules de caract\`eres pour les alg\`ebres de {K}ac-{M}oody
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