124 citations · 2k across the 80 of their papers we have counts for
81 papers
Compact Kähler surfaces with semipositive anticanonical bundle
Yifan Chen, Simion Filip, Song Sun +2
We classify compact Kähler surfaces with semipositive anticanonical bundle. In particular, we resolve a question of Demailly--Peternell--Schneider: any blowup of at…
Transcendental Morse inequality on Kähler manifolds
Valentino Tosatti
We prove the transcendental Morse inequality conjecture of Boucksom-Demailly-Păun-Peternell. Among the corollaries of this result, this proves orthogonality of divisorial Zariski d…
Universal affine bundles for compact complex manifolds
Simion Filip, Valentino Tosatti
We construct a universal affine bundle over a compact complex manifold equipped with a probability measure , which is affine over the vector space $H_{1,1}(X;\mathbb{R})…
Nonlinearizable embeddings of elliptic curves in rational surfaces
Simion Filip, Valentino Tosatti
We show that for any smooth cubic in , there exists a dense set of configurations of 9 distinct points such that blowing up at these 9 points, th…
Gromov-Hausdorff limits of immortal Kähler-Ricci flows
Man-Chun Lee, Valentino Tosatti, Junsheng Zhang
We show that the normalized Kähler-Ricci flow on a compact Kähler manifold with semiample canonical bundle converges in the Gromov-Hausdorff topology to the metric completion of th…
Generic regularity of intermediate complex structure limits
Yang Li, Valentino Tosatti
We study certain polarized degenerations of Calabi-Yau manifolds near an intermediate complex structure limit, and improve the potential -convergence to a metric convergence r…