1 citations · 3 across the 7 of their papers we have counts for
10 papers · 1 filter
K-polystability of the first secant varieties of rational normal curves
In-Kyun Kim, Jinhyung Park, Joonyeong Won
The first secant variety of a rational normal curve of degree is known to be a -Fano threefold. In this paper, we prove that is K-polystable, and hen…
K-stability of log del Pezzo hypersurfaces with index 2
In-Kyun Kim, Nivedita Viswanathan, Joonyeong Won
We completely classify K-stability of log del Pezzo hypersurfaces with index 2.
Correspondence of Donaldson-Thomas and Gopakumar-Vafa invariants on local Calabi-Yau 4-folds over V_5 and V_22
Kiryong Chung, Sanghyeon Lee, Joonyeong Won
We compute Gromov-Witten (GW) and Donaldson-Thomas (DT) invariants (and also descendant invariants) for local CY 4-folds over Fano 3-folds, V_5 and V_22 up to degree 3. We use toru…
Unstable singular del Pezzo hypersurfaces with lower index
In-kyun Kim, Joonyeong Won
We give examples of K-unstable singular del Pezzo surfaces which are weighted hypersurfaces with index 2.
Alpha invariants of birationally bi-rigid Fano 3-folds I
In-Kyun Kim, Takuzo Okada, Joonyeong Won
We compute global log canonical thresholds of certain birationally bi-rigid Fano 3-folds embedded in weighted projective spaces as complete intersections of codimension 2 and prove…
Local numerical equivalences and Okounkov bodies in higher dimensions
Sung Rak Choi, Jinhyung Park, Joonyeong Won
We continue to explore the numerical nature of the Okounkov bodies focusing on the local behaviors near given points. More precisely, we show that the set of Okounkov bodies of a p…