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

collaborators

9 papers

math.AG2023

Albanese map for Kähler manifolds with nef anticanonical bundle

Philipp Naumann, Xiaojun Wu

We study the structure of the Albanese map for Kähler manifolds with nef anticanonical bundle. First, we give a result for fourfolds whose Albanse torus is an elliptic curve. In th…

math.DG2023★ 1 cited

Hermite--Einstein metrics in singular settings

Junyan Cao, Patrick Graf, Philipp Naumann +3

In this article we pursue the following main goals. In the first place, we establish the existence of "estimable" Hermite--Einstein metrics for stable reflexive coherent sheaves on…

math.AG2020★ 10 cited

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

Benoît Claudon, Patrick Graf, Henri Guenancia +1

Let $X$ be a compact Kähler space with klt singularities and vanishing first Chern class. We prove the Bochner principle for holomorphic tensors on the smooth locus of $X$ : any suc…

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.AG2018★ 9 cited

Moduli of polarised manifolds via canonical Kähler metrics

Ruadhaí Dervan, Philipp Naumann

We construct a moduli space of polarised manifolds which admit a constant scalar curvature Kähler metric. We show that this space admits a natural Kähler metric.

math.AG2017★ 2 cited

An approach to Griffiths conjecture

Philipp Naumann

The Griffiths conjecture asserts that every ample vector bundle $E$ over a compact complex manifold $S$ admits a hermitian metric with positive curvature in the sense of Griffiths.…

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…