P. Naumann

activity

20162023

most citedKähler spaces with zero first Chern class: Bochner principle, Albanese map and fundamental groups

10 citations · 22 across the 7 of their papers we have counts for

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4 papers · 1 filter

math.CV2020

Positivity of direct images with a Poincaré type twist

Philipp Naumann

We consider a holomorphic family $f : X \to S$ of compact complex manifolds and a line bundle $L \to X$ . Given that $L^{- 1}$ carries a singular…

math.CV2016

Kähler geometry on Hurwitz spaces

Philipp Naumann

We study the Kähler geometry of the classical Hurwitz space $H^{n, b}$ of simple branched coverings of the Riemann sphere $P^{1}$ by compact hyperbolic Riemann surf…

math.CV2016

Twisted Hodge filtration: Curvature of the determinant

Philipp Naumann

Given a holomorphic family $f : X \to S$ of compact complex manifolds and a relative ample line bundle $L \to X$ , the higher direct images $R^{n-p}f_*Ω^p_{\mathcal…

math.CV2016

Curvature of higher direct images

Philipp Naumann

Given a holomorphic family $f : X \to S$ of compact complex manifolds of dimension $n$ and a relatively ample line bundle $L \to X$ , the higher direct images $R^{n…