3 papers
math.AG2024
Generic Triviality of Automorphism Groups of Complete Intersections
Renjie Lyu, Dingxin Zhang
We prove in most cases that a general smooth complete intersection in the projective space has no non-trivial automorphisms.
math.AG2018
Cylinder maps of algebraic cycles on cubic hypersurfaces
Renjie Lyu
Let \(X\subset \mathbb{P}^{n+1}\) be a smooth cubic hypersurface, and let \(F(X)\) be the variety of lines on \(X\). We prove the surjectivity of the cylinder maps on the Chow grou…
math.AG2017
Remarks on Automorphism and Cohomology of Cyclic Coverings
Renjie Lyu, Xuanyu Pan
For a smooth finite cyclic covering over a projective space of dimension greater than one, we show that the group of automorphisms acts faithfully on the cohomology except for a fe…