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math.DG2026
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…
math.DS2026
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})…
math.DS2026
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…