On degenerations of projective varieties to complexity-one T-varieties

Kiumars Kaveh, Christopher Manon, Takuya Murata

Let $R$ be a positively graded finitely generated $\text{k}$-domain with Krull dimension $d+1$. We show that there is a homogeneous valuation $\mathfrak{v}: R \setminus \{0\} \to…