20 citations · 73 across the 40 of their papers we have counts for
46 papers · 1 filter
Syzygies of secant varieties of smooth projective curves and gonality sequences
Junho Choe, Sijong Kwak, Jinhyung Park
The purpose of this paper is to prove that one can read off the gonality sequence of a smooth projective curve from syzygies of secant varieties of the curve embedded by a line bun…
Asymptotic nonvanishing of syzygies of algebraic varieties
Jinhyung Park
We establish precise nonvanishing results for asymptotic syzygies of smooth projective varieties. This refines Ein-Lazarsfeld's asymptotic nonvanishing theorem. Combining with the…
Syzygies of tangent developable surfaces and K3 carpets via secant varieties
Jinhyung Park
We give simple geometric proofs of Aprodu-Farkas-Papadima-Raicu-Weyman's theorem on syzygies of tangent developable surfaces of rational normal curves and Raicu-Sam's result on syz…
Singularities of pluri-fundamental divisors on Gorenstein Fano varieties of coindex
Jinhyung Park
Let be a Gorenstein canonical Fano variety of coindex and dimension with fundamental divisor. Assume . We prove that a general element of the l…
A Castelnuovo-Mumford regularity bound for threefolds with rational singularities
Wenbo Niu, Jinhyung Park
The purpose of this paper is to establish a Castelnuovo-Mumford regularity bound for threefolds with mild singularities. Let be a non-degenerate normal projective threefold in…
On subadditivity of Okounkov bodies for algebraic fiber spaces
Sung Rak Choi, Jinhyung Park
The purpose of this paper is to establish a subadditivity theorem of Okounkov bodies for algebraic fiber spaces. As applications, we obtain a product formula of the restricted cano…