Nathan Chen

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math.AG2025

Characterizing Varieties Using Birational Transformations

Nathan Chen, Louis Esser, Andriy Regeta +2

Suppose $X$ is an irreducible complex variety. We show that when $X$ is ruled, the group of birational transformations $B i r (X)$ , as a group, determines $X$ up to birational transfo…

math.AG2024

Group actions and irrationality in surface families

Nathan Chen, Louis Esser

Rationality specializes in families of surfaces, even with mild singularities. In this paper, we study the analogous question for the degree of irrationality. We prove a specializa…