18 citations · 40 across the 11 of their papers we have counts for
11 papers
Invariance of plurigenera for generalized polarized pairs with abundant nef parts
Zhan Li, Zhiwei Wang
We show the invariance of plurigenera for generalized polarized pairs with abundant nef parts and generalized canonical singularities. This is obtained by investigating a type of n…
On the relative Morrison-Kawamata cone conjecture
Zhan Li, Hang Zhao
We relate the Morrison-Kawamata cone conjecture for Calabi-Yau fiber spaces to the existence of Shokurov polytopes. For K3 fibrations, the existence of (weak) fundamental domains f…
A variant of the effective adjunction conjecture with applications
Zhan Li
We propose a variant of the effective adjunction conjecture for lc-trivial fibrations. This variant is suitable for inductions and can be used to treat real coefficients.
On finiteness of log canonical models
Zhan Li
Let be klt pairs and be a convex set of divisors. Assuming that the relative Kodaira dimensions are non-negative, then there are only finitely many log canonical mod…
Boundedness of the base varieties of certain fibrations
Zhan Li
It is conjectured that the base varieties of the Iitaka fibrations are bounded when the Iitaka volumes are bounded above. We confirm this conjecture for Iitaka -lc Fano type fib…
On accumulation points of pseudo-effective thresholds
Jingjun Han, Zhan Li
We characterize a -th accumulation point of pseudo-effective thresholds of -dimensional varieties as certain invariant associates to a numerically trivial pair of an -…
Weak Zariski decompositions and log terminal models for generalized polarized pairs
Jingjun Han, Zhan Li
We show that the existence of a birational weak Zariski decomposition for a pseudo-effective generalized polarized lc pair is equivalent to the existence of a generalized polarized…
On Fujita's conjecture for pseudo-effective thresholds
Jingjun Han, Zhan Li
We show Fujita's spectrum conjecture for -log canonical pairs and Fujita's log spectrum conjecture for log canonical pairs. Then, we generalize the pseudo-effective threshold of…
ACC for log canonical threshold polytopes
Jingjun Han, Zhan Li, Lu Qi
We show that the log canonical threshold polytopes of varieties with log canonical singularities satisfy the ascending chain condition.
On derived equivalence of general Clifford double mirrors
Zhan Li
We show that general Clifford double mirrors constructed in "On Clifford double mirrors of toric complete intersections" are derived equivalent.
On Clifford double mirrors of toric complete intersections
Lev Borisov, Zhan Li
We present a construction of noncommutative double mirrors to complete intersections in toric varieties. This construction unifies existing sporadic examples and explains the under…