16 citations · 80 across the 21 of their papers we have counts for
23 papers
On the zero set of holomorphic sectional curvature
Yongchang Chen, Gordon Heier
A notable example due to Heier, Lu, Wong, and Zheng shows that there exist compact complex Kähler manifolds with ample canonical line bundle such that the holomorphic sectional cur…
On positive semi-definite holomorphic sectional curvature with many zeroes
Minzi Chen, Gordon Heier
We establish the existence of complete Kähler metrics of semi-positive holomorphic sectional curvature with many zeroes in an interesting and natural geometric setting. Specificall…
A Schmidt-Nochka Theorem for closed subschemes in subgeneral position
Gordon Heier, Aaron Levin
In previous work, the authors established a generalized version of Schmidt's subspace theorem for closed subschemes in general position in terms of Seshadri constants. We extend ou…
On the degeneracy of integral points and entire curves in the complement of nef effective divisors
Gordon Heier, Aaron Levin
As a consequence of our recently established generalized Schmidt's subspace theorem for closed subschemes in general position, we prove a degeneracy theorem for integral points on…
A generalized Schmidt subspace theorem for closed subschemes
Gordon Heier, Aaron Levin
We prove a generalized version of Schmidt's subspace theorem for closed subschemes in general position in terms of suitably defined Seshadri constants with respect to a fixed ample…
Hermitian Metrics of Positive Holomorphic Sectional Curvature on Fibrations
Ananya Chaturvedi, Gordon Heier
The main result of this note essentially is that if the base and fibers of a compact fibration carry Hermitian metrics of positive holomorphic sectional curvature, then so does the…