4 papers
The effective cone conjecture for Calabi--Yau pairs
Cécile Gachet, Hsueh-Yung Lin, Isabel Stenger +1
We formulate an effective cone conjecture for klt Calabi--Yau pairs , pertaining to the structure of the cone of effective divisors modulo the action of t…
Polynomial log-volume growth in slow dynamics and the GK-dimensions of twisted homogeneous coordinate rings
Hsueh-Yung Lin, Keiji Oguiso, De-Qi Zhang
Let f be a zero entropy automorphism of a compact Kähler manifold X. We study the polynomial log-volume growth Plov(f) of f in light of the dynamical filtrations introduced in our…
On the virtual invariants of zero entropy groups of compact Kähler manifolds
Tien-Cuong Dinh, Hsueh-Yung Lin, Keiji Oguiso +1
Let be a compact Kähler manifold. We study subgroups of biholomorphic automorphisms of zero entropy when is compact (e.g. when $\ma…
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…