Niklas Müller

collaborators

4 papers

math.AG2025

Lagrangian Fibrations onto Varieties with Isolated Quotient Singularities

Niklas MÃ¼ller, Zheng Xu

In this note, we show that if $f : M \to X$ is a germ of a projective Lagrangian fibration from a holomorphic symplectic manifold $M$ onto a normal analytic variety $X$ …

math.AG2025

Minimal projective varieties satisfying Miyaoka's equality

Masataka Iwai, Shin-ichi Matsumura, Niklas MÃ¼ller

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.AG2025

Two Non-Vanishing results concerning the Anti-Canonical Bundle

Niklas MÃ¼ller

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

math.AG2025

Locally Constant Fibrations and Positivity of Curvature

Niklas MÃ¼ller

Up to finite Ã©tale 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 t…