6 citations · 7 across the 2 of their papers we have counts for
2 papers
math.DG2016★ 6 cited
On projectivized vector bundles and positive holomorphic sectional curvature
Angelynn Alvarez, Gordon Heier, Fangyang Zheng
We generalize a construction of Hitchin to prove that, given any compact Kähler manifold with positive holomorphic sectional curvature and any holomorphic vector bundle ove…
math.DG2015★ 1 cited
Optimal pinching for the holomorphic sectional curvature of Hitchin's metrics on Hirzebruch surfaces
Angelynn Alvarez, Ananya Chaturvedi, Gordon Heier
The main result of this note is that, for each , there exists a Hodge metric on the -th Hirzebruch surface whose positive holomorphic sectional curvature…