On generalised abundance, I
V Lazić, T Peternell - Publications of the Research Institute for …, 2020 - ems.press
On Generalised Abundance, I Page 1 Publ. RIMS Kyoto Univ. 56 (2020), 353–389 DOI
10.4171/PRIMS/56-2-3 On Generalised Abundance, I by Vladimir Lazic and Thomas Peternell …
10.4171/PRIMS/56-2-3 On Generalised Abundance, I by Vladimir Lazic and Thomas Peternell …
Canonical currents and heights for K3 surfaces
S Filip, V Tosatti - arXiv preprint arXiv:2103.02095, 2021 - arxiv.org
We construct canonical positive currents and heights on the boundary of the ample cone of a
K3 surface. These are equivariant for the automorphism group and fit together into a …
K3 surface. These are equivariant for the automorphism group and fit together into a …
Collapsing Calabi-Yau manifolds
V Tosatti - arXiv preprint arXiv:2003.00673, 2020 - arxiv.org
arXiv:2003.00673v1 [math.DG] 2 Mar 2020 Page 1 arXiv:2003.00673v1 [math.DG] 2 Mar 2020
COLLAPSING CALABI-YAU MANIFOLDS VALENTINO TOSATTI Dedicated to Professor …
COLLAPSING CALABI-YAU MANIFOLDS VALENTINO TOSATTI Dedicated to Professor …
Transcendental Minimal Model Program for Projective Varieties
In this article we prove that if $(X, B+\beta) $ is a projective generalized klt pair such that $
B+\beta $ is big, then $(X, B+\beta) $ admits a good Minimal Model or Mori fiber space. In …
B+\beta $ is big, then $(X, B+\beta) $ admits a good Minimal Model or Mori fiber space. In …
Kummer rigidity for K3 surface automorphisms via Ricci-flat metrics
S Filip, V Tosatti - American Journal of Mathematics, 2021 - muse.jhu.edu
We give an alternative proof of a result of Cantat\& Dupont, showing that any automorphism
of a K3 surface with measure of maximal entropy in the Lebesgue class must be a Kummer …
of a K3 surface with measure of maximal entropy in the Lebesgue class must be a Kummer …
[PDF][PDF] Semipositive line bundles and (1, 1)-classes
V Tosatti - arXiv preprint arXiv:2309.00580, 2023 - arxiv.org
arXiv:2309.00580v1 [math.CV] 1 Sep 2023 Page 1 arXiv:2309.00580v1 [math.CV] 1 Sep 2023
SEMIPOSITIVE LINE BUNDLES AND (1,1)-CLASSES VALENTINO TOSATTI Abstract. We …
SEMIPOSITIVE LINE BUNDLES AND (1,1)-CLASSES VALENTINO TOSATTI Abstract. We …
On the range of a class of complex Monge-Ampère operators on compact Hermitian manifolds
Y Li, Z Wang, X Zhou - Journal of Functional Analysis, 2025 - Elsevier
Let (X, ω) be a compact Hermitian manifold of complex dimension n. Let β be a smooth real
closed (1, 1) form such that there exists a function ρ∈ PSH (X, β)∩ L∞(X). We study the …
closed (1, 1) form such that there exists a function ρ∈ PSH (X, β)∩ L∞(X). We study the …
Semiampleness for Calabi–Yau surfaces in positive and mixed characteristic
F Bernasconi, L Stigant - Nagoya Mathematical Journal, 2023 - cambridge.org
In this note, we prove the semiampleness conjecture for Kawamata log terminal Calabi–Yau
(CY) surface pairs over an excellent base ring. As applications, we deduce that generalized …
(CY) surface pairs over an excellent base ring. As applications, we deduce that generalized …
Linearization of transition functions of a semi-positive line bundle along a certain submanifold
T Koike - Annales de l'Institut Fourier, 2021 - numdam.org
Let X be a complex manifold and L be a holomorphic line bundle on X. Assume that L is
semi-positive, namely L admits a smooth Hermitian metric with semi-positive Chern …
semi-positive, namely L admits a smooth Hermitian metric with semi-positive Chern …
Tropical dynamics of area-preserving maps
S Filip - arXiv preprint arXiv:1903.00794, 2019 - arxiv.org
arXiv:1903.00794v1 [math.DS] 2 Mar 2019 Page 1 TROPICAL DYNAMICS OF AREA-PRESERVING
MAPS SIMION FILIP March 2018 Dedicated to the memory of Bill Veech Abstract. We …
MAPS SIMION FILIP March 2018 Dedicated to the memory of Bill Veech Abstract. We …