10 citations · 46 across the 19 of their papers we have counts for
22 papers
The Cautis-Logvinenko conjecture
Alastair Craw, Hsueh-Yung Lin, Ryo Yamagishi
For a finite subgroup , the Cautis--Logvinenko conjecture states that for each nontrivial irreducible representation of , the image…
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 th…
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 $\mat…
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…
Nef cones of fiber products and an application to the Cone Conjecture
Cécile Gachet, Hsueh-Yung Lin, Long Wang
We prove a decomposition theorem for the nef cone of smooth fiber products over curves, subject to the necessary condition that their Néron--Severi space decomposes. We apply it to…
Motivic invariants of birational maps
Hsueh-Yung Lin, Evgeny Shinder
We construct invariants of birational maps with values in the Kontsevich--Tschinkel group and in the truncated Grothendieck groups of varieties. These invariants are morphisms of g…
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…
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…
Factorization centers in dimension two and the Grothendieck ring of varieties
Hsueh-Yung Lin, Evgeny Shinder, Susanna Zimmermann
We initiate the study of factorization centers of birational maps, and complete it for surfaces over a perfect field in this article. We prove that for every birational automorphis…
On the dual positive cones and the algebraicity of a compact Kähler manifold
Hsueh-Yung Lin
We investigate the algebraicity of compact Kähler manifolds admitting a positive rational Hodge class of bidimension . We prove that if the dual Kähler cone of a compact Käh…
Zero entropy automorphisms of compact Kähler manifolds and dynamical filtrations
Tien-Cuong Dinh, Hsueh-Yung Lin, Keiji Oguiso +1
We study zero entropy automorphisms of a compact Kähler manifold . Our goal is to bring to light some new structures of the action on the cohomology of , in terms of the so-c…
Algebraic approximations of compact Kähler manifolds of algebraic codimension 1
Hsueh-Yung Lin
For every compact Kähler manifold of algebraic dimension , we prove that has arbitrarily small deformations to some projective manifolds.
Algebraic approximations of compact Kähler threefolds
Hsueh-Yung Lin
We prove that every compact Kähler threefold has arbitrarily small deformations to some projective manifolds, thereby solving the Kodaira problem in dimension 3.
Algebraic approximations of compact Kähler threefolds of Kodaira dimension 0 or 1
Hsueh-Yung Lin
We prove that every compact Kähler threefold of Kodaira dimension or has a -factorial bimeromorphic model with at worst terminal singularities such…
Algebraic approximations of fibrations in abelian varieties over a curve
Hsueh-Yung Lin
For every fibration with a compact Kähler manifold, a smooth projective curve, and a general fiber of an abelian variety, we prove that has an algebra…
The fundamental group of compact K{ä}hler threefolds
Benoît Claudon, Andreas Höring, Hsueh-Yung Lin
Let be a compact K{ä}hler manifold of dimension three. We prove that there exists a projective manifold such that . We also prove the bimeromorphic e…
Lagrangian constant cycle subvarieties in Lagrangian fibrations
Hsueh-Yung Lin
We show that the image of a dominant meromorphic map from an irreducible compact Calabi-Yau manifold whose general fiber is of dimension strictly between and is ra…
On the Chow group of zero-cycles of a generalized Kummer variety
Hsueh-Yung Lin
For a generalized Kummer variety X of dimension 2n, we will construct for each 0 < i < n some co-isotropic subvarieties in X foliated by i-dimensional constant cycle subvarieties.…
Singularities of elliptic curves in surfaces and the Beauville-Voisin zero-cycle
Hsueh-Yung Lin
Under some hypotheses on the singular type of the one-parameter family of elliptic curves in a primitively polarized surface determined by its polarization (which is expec…
Rational maps from punctual Hilbert schemes of K3 surfaces
Hsueh-Yung Lin
The purpose of this short note is to study dominant rational maps from punctual Hilbert schemes of length of projective K3 surfaces containing infinitely many rational cu…
Compact Kähler threefolds with non-nef canonical bundle and symplectic geometry
Hsueh-Yung Lin
We show that the nefness of the canonical bundle of compact Kähler threefolds is invariant under deformed symplectic diffeomorphisms.
The odd Catalan numbers modulo 2^k
Hsueh-Yung Lin
We study the properties of the odd Catalan numbers, C_n, modulo 2^k for k >= 2. We show that there exist only k - 1 different congruences of the odd Catalan numbers modulo 2^k. Mor…