1 citations · 2 across the 6 of their papers we have counts for
7 papers
Effective syzygies of secant varieties
Justin Lacini
We provide effective bounds on adjoint line bundles on for which the secant variety satisfies property . The given bounds only depend on …
Singularities and syzygies of secant varieties of smooth projective varieties
Doyoung Choi, Justin Lacini, Jinhyung Park +1
We study the higher secant varieties of a smooth projective variety embedded in projective space. We prove that when the variety is a surface and the embedding line bundle is suffi…
Syzygies of adjoint linear series on projective varieties
Purnaprajna Bangere, Justin Lacini
Let X be a smooth complex projective variety of dimension n and let A be an ample and basepoint free divisor. We prove satisfies property for . We…
Logarithmic bounds on Fujita's conjecture
Luca Ghidelli, Justin Lacini
Let X be a smooth complex projective variety of dimension n. We prove bounds on Fujita's basepoint freeness conjecture that grow as nloglog(n).
Boundedness of fibers for pluricanonical maps of varieties of general type
Justin Lacini
We prove that the r-th pluricanonical maps of threefolds of general type have birationally bounded fibers if . Similarly, we prove that the r-th pluricanonical maps o…
On the Kawamata-Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic
Emelie Arvidsson, Fabio Bernasconi, Justin Lacini
We prove the Kawamata-Viehweg vanishing theorem for surfaces of del Pezzo type over perfect fields of positive characteristic . As a consequence, we show that klt threefold si…
On rank one log del Pezzo surfaces in characteristic different from two and three
Justin Lacini
We classify all log del Pezzo surfaces of Picard number one defined over algebraically closed fields of characteristic different from two and three. We also discuss some consequenc…