2 citations · 2 across the 6 of their papers we have counts for
7 papers
Qin's quasimodularity conjecture for Hilbert schemes of points
Victor Alekseev, Avik Chakravarty, Daebeom Choi +1
Let be a smooth projective complex surface with numerically trivial canonical class. With the help of GPT-5.6 Sol, we prove Qin's conjecture that the reduced generating series…
Extremal Effective Cycles and Nef Line Bundles on \(\overline{\rm{M}}_{g,n}\)
Daebeom Choi
There has been a growing body of work devoted to the study of effective cones of codimension-\(k\) cycles \(\text{Eff}^k(\overline{\rm{M}}_{g,n})\) on \(\overline{\rm{M}}_{g,n}\),…
Extremal effective curves and non-semiample line bundles on
Daebeom Choi
We develop a new method for establishing the extremality in the closed cone of effective curves on the moduli space of curves and determine the extremality of many boundary -str…
Conformal Block Divisors for Discrete Series Virasoro VOA
Daebeom Choi
In this work, we study a family of vector bundles on the moduli space of curves constructed from representations of , a family of vertex operator algebras deri…
Line bundles on Contractions of via Coinvariant Divisors
Daebeom Choi
Using representations of vertex operator algebras, we describe the line bundles on a wide range of contractions of , the moduli space of stable -pointed…
Complete Subvarieties of and a Lifting Problem
Daebeom Choi
Finding the maximal dimension of complete subvarieties of the moduli space of smooth -pointed curves of genus is a long-standing open problem. Here we show that for $g\ge 3\…
Non-archimedean Sendov's Conjecture
Daebeom Choi, Seewoo Lee
We prove non-archimedean analogue of Sendov's conjecure. We also provide complete list of polynomials over an algebraically closed non-archimedean field that satisfy the optima…