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math.AG2021
Greatest Ricci lower bounds of projective horospherical manifolds of Picard number one
DongSeon Hwang, Shin-young Kim, Kyeong-Dong Park
A horospherical variety is a normal -variety such that a connected reductive algebraic group acts with an open orbit isomorphic to a torus bundle over a rational homogeneous…
math.AG2021
W-translated Schubert divisors and transversal intersections
DongSeon Hwang, Hwayoung Lee, Jae-Hyouk Lee +1
We study the toric degeneration of Weyl group translated Schubert divisors of a partial flag variety of Lie type A via Gelfand-Cetlin polytopes. We propose a conjecture that Schube…
math.AG2021
Algebraic Montgomery-Yang problem and cascade conjecture
DongSeon Hwang
The conjecture called algebraic Montgomery-Yang problem is still open for rational -homology projective planes with cyclic quotient singularities having ample canonical…