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math.AG2025
Mirror symmetry for certain blowups of Grassmannians
Jianxun Hu, Huazhong Ke, Changzheng Li +1
We classify when the blowup of a complex Grassmannian along a smooth Schubert subvariety is Fano. We compute almost all the two-point, genus zero Gromov-Witten invari…
math.AG2024
On Covering Simplices by Dilations in Dimensions 3 and 4
Lei Song, Huanqi Wen, Zhixian Zhu
We propose a conjecture regarding the integrally closedness of lattice polytopes with large lattice lengths. We demonstrate that a lattice simplex in dimension 3 (resp. 4) with lat…
math.AG2023
Singularities of secant varieties from a Hodge theoretic perspective
Sebastian Olano, Debaditya Raychaudhury, Lei Song
We study the singularities of secant varieties of smooth projective varieties using methods from birational geometry when the embedding line bundle is sufficiently positive. More p…