This thesis consists of four chapters on the author's research in algebraic dynamics. The first chapter introduces the main results. The second chapter is an …
While the study of algebraic curves and their moduli has been a celebrated subject in algebraic and arithmetic geometry, generalizations of many results that hold …
Hironaka showed in his 1964 groundbreaking work that singularities of algebraic varieties admit a resolution in characteristic zero. Over the years, the proof of Hironaka’s …
Faltings's theorem states that a smooth geometrically irreducible projective curve of genus at least two defined over a number field has finitely many rational points. …