6 papers · 1 filter
Bounding cohomology on a smooth projective surface with Picard number 2
Sichen Li
The following conjecture arose out of discussions between B. Harbourne, J. Roé, C. Cilberto and R. Miranda: for a smooth projective surface there exists a positive constant $c_…
A note on Kawaguchi-Silverman conjecture
Sichen Li, Yohsuke Matsuzawa
We collect some results on endomorphisms on projective varieties related with the Kawaguchi-Silverman conjecture. We discuss certain condition on automorphism groups of projective…
Derived length of zero entropy groups acting on projective varieties in arbitrary characteristic -- A remark to a paper of Dinh-Oguiso-Zhang
Sichen Li
Let be a projective variety of dimension over an algebraically closed field of arbitrary characteristic. We prove a Fujiki-Lieberman type theorem on the structure of th…
Free abelian group actions on normal projective varieties: sub-maximal dynamical rank case
Fei Hu, Sichen Li
Let be a normal projective variety of dimension and an abelian group of automorphisms such that all elements of are of positive entropy. Di…
Bounding cohomology on a smooth projective surface
Sichen Li
The following conjecture arose out of discussions between B. Harbourne, J. Roé, C. Cilberto and R. Miranda: for a smooth projective surface there exists a positive constant $c_…
A note on a smooth projective surface with Picard number 2
Sichen Li
We characterize the integral Zariski decomposition of a smooth projective surface with Picard number 2 to partially solve a problem of B. Harbourne, P. Pokora, and H. Tutaj-Gasinsk…