Simion Filip

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math.DS2026

Universal affine bundles for compact complex manifolds

Simion Filip, Valentino Tosatti

We construct a universal affine bundle $E$ over a compact complex manifold $X$ equipped with a probability measure $I^¼$ , 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 $P^{2}$ , there exists a dense $G_{I^} ´$ set of configurations of 9 distinct points such that blowing up $P^{2}$ at these 9 points, t…