2 citations · 3 across the 2 of their papers we have counts for
4 papers
Cubic forms having matrix factorizations by Hessian matrices
Yeongrak Kim
Using a part of XJC-correspondence by Pirio and Russo, we classify cubic forms whose Hessian matrices induce matrix factorizations of themselves. When it defines a reduced hype…
On the Borisov-Nuer conjecture and the image of the Enriques-to-K3 map
Marian Aprodu, Yeongrak Kim
We discuss the Borisov-Nuer conjecture in connection with the canonical maps from the moduli spaces of polarized Enriques surfaces with fixed polarization type…
An explicit matrix factorization of cubic hypersurfaces of small dimension
Yeongrak Kim, Frank-Olaf Schreyer
In this paper, we compute an explicit matrix factorization of a rank 9 Ulrich sheaf on a general cubic hypersurface of dimension at most 7, whose existence was proved by Manivel. I…
Ulrich bundles on blowups
Yeongrak Kim
We construct an Ulrich bundle on the blowup at a point when the original variety is embedded by a sufficiently positive linear system and carries an Ulrich bundle. In particular, w…