12 citations · 28 across the 13 of their papers we have counts for
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math.AG2015
2-Cycles on Higher Fano Hypersurfaces
Xuanyu Pan
Let F(X_d) be a smooth Fano variety of lines of a hypersurface X_d of degree d. In this paper, we prove the Griffiths group Griff_1(F(X_d)) is trivial if the hypersurface X_d is of…
math.AG2015★ 12 cited
Automorphism and Cohomology II: Complete intersections
Xi Chen, Xuanyu Pan, Dingxin Zhang
We prove that the automorphism group of a general complete intersection in a projective space is trivial with a few well-understood exceptions. We also prove that the automorph…
math.AG2015★ 6 cited
Automorphism and Cohomology I: Fano variety of lines and Cubic
Xuanyu Pan
In this paper, we prove a general principle of lifting an automorphism from positive characteristic to zero characteristic. We based on the principle to prove the automorphism grou…