Santai Qu

activity

20242026

collaborators

5 papers

math.AG2026

Irrationality of degenerations of Fano varieties

Caucher Birkar, Santai Qu

In this paper we investigate the degrees of irrationality of degenerations of $I^µ$ -lc Fano varieties of arbitrary dimensions. We show that given a generically $I^µ$ -lc klt Fano fibr…

math.AG2026

Stein degree on non-Fano type fibrations

Caucher Birkar, Santai Qu

We construct examples showing that Stein degree of vertical divisors on non-Fano type log Calabi-Yau fibrations is unbounded.

math.AG2025

Stein degree on log Calabi-Yau fibrations

Caucher Birkar, Santai Qu

We prove a conjecture proposed by the first author on boundedness of Stein degree of divisors on log Calabi-Yau fibrations. More precisely, for $d \in N$ and $t \in (0, 1]$ ,…

math.AG2025

Saturated base change of toroidal morphisms

Santai Qu

We show that saturated base change of a dominant toroidal morphism is also toroidal. For completeness, we give full details on equivalence between definitions regarding toroidal em…

math.AG2024

Injectivity Theorem for Generalised Pairs on Surfaces

Santai Qu

In this paper we study the question asked by Caucher Birkar about injectivity theorem on cohomologies of generalised pairs. By applying techniques from complex analytic geometry, w…