K-moduli of quasimaps and on quasi-projectivity of moduli of K-stable Calabi-Yau fibrations over curves

Kenta Hashizume, Masafumi Hattori

We construct a projective K-moduli space of quasimaps with a certain log Fano condition, which is regarded as a rational map from ${\mathbb{P}}^1$ to a projective space. Moreover, we…