3 papers
math.AG2025
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…
math.AG2021
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).
math.AG2020
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…