33 citations · 63 across the 17 of their papers we have counts for
17 papers
Moduli spaces of arrangements of 12 projective lines with a sextic point
Meirav Amram, Eran Lieberman, Sheng-Li Tan +2
*This paper is from 2018* In this paper, we try to classify moduli spaces of arrangements of lines with sextic points. We show that moduli spaces of arrangements of lines…
Zariski pairs of conic-line arrangements of degrees 7 and 8 via fundamental groups
Meirav Amram, Robert Shwartz, Uriel Sinichkin +2
We find a new Zariski pair with non-isomorphic fundamental groups that consists of degree conic-line arrangements. Each arrangement has three conics and two lines. We use the…
On the sharp lower bounds of modular invariants and fractional Dehn twist coefficients
Xiao-Lei Liu, Sheng-Li Tan
Modular invariants of families of curves are Arakelov invariants in arithmetic algebraic geometry. All the known uniform lower bounds of these invariants are not sharp. In this pap…
On Higgs bundles over Shimura varieties of ball quotient type
Ke Chen, Xin Lu, Sheng-Li Tan +1
We prove the generic exclusion of certain Shimura varieties of unitary and orthogonal types from the Torelli locus. The proof relies on a slope inequality on surface fibration due…
Singular Fibers and Kodaira Dimensions
Xin Lu, Sheng-Li Tan, Kang Zuo
Let be a non-isotrivial semi-stable family of varieties of dimension over with singular fibers. Assume that the smooth fibers ar…
Periodic subvarieties of a projective variety under the action of a maximal rank abelian group of positive entropy
Fei Hu, Sheng-Li Tan, De-Qi Zhang
We determine positive-dimensional G-periodic proper subvarieties of an n-dimensional normal projective variety X under the action of an abelian group G of maximal rank n-1 and of p…