Niklas Müller

activity

20222024

most citedTwo Non-Vanishing results concerning the Anti-Canonical Bundle

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.AG2024

Minimal projective varieties satisfying Miyaoka's equality

Masataka Iwai, Shin-ichi Matsumura, Niklas Müller

In this paper, we establish a structure theorem for minimal projective klt varieties $X$ that satisfiy Miyaoka's equality $3 c_{2} (X) = c_{1} (X)^{2}$ . Specifically, we prove that the cano…

math.AG2023★ 1 cited

Two Non-Vanishing results concerning the Anti-Canonical Bundle

Niklas Müller

Let $(X, Δ)$ be a klt threefold pair with nef anti-log canonical bundle $- (K_{X} + Δ)$ . We show that $κ (X, - (K_{X} + Δ)) \geq 0$ . To do so, we prove a more general equivariant non-vanishing…

math.AG2022

Locally Constant Fibrations and Positivity of Curvature

Niklas Müller

Up to finite étale cover, any smooth complex projective variety $X$ with nef anti-canonical bundle is a holomorphic fibre bundle over a $K$ -trivial variety with locally constant tr…

math.AG2022

Canonical extensions of manifolds with nef tangent bundle

Niklas Müller

To any compact Kähler manifold $(X, ω)$ one may associate a bundle of affine spaces $Z_{X} \to X$ called a \emph{canonical extension} of $X$ . In this paper we prove that if th…