Niklas Müller

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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

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…