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math.AG2022
A counterexample of Morrison's cone conjecture for a strict Calabi-Yau threefold
Keiji Oguiso
We give a counterexample of Morrison's cone conjecture for a strict Calabi-Yau threefold.
math.AG2022
Smooth projective surfaces with infinitely many real forms
Tien-Cuong Dinh, Cécile Gachet, Hsueh-Yung Lin +3
The aim of this paper is twofold. First of all, we confirm a few basic criteria of the finiteness of real forms of a given smooth complex projective variety, in terms of the Galois…
math.AG2022
On the Kawaguchi--Silverman Conjecture for birational automorphisms of irregular varieties
Jungkai Alfred Chen, Hsueh-Yung Lin, Keiji Oguiso
We study the main open parts of the Kawaguchi--Silverman Conjecture, asserting that for a birational self-map of a smooth projective variety defined over $\overline{\mathbb…