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15 papers · 2 filters
Characterization of Kollár surfaces
Giancarlo Urzúa, José Ignacio Yáñez
Kollár introduced in [Ko08] the surfaces where , $W_i=a_{i+1}a_{i+2}a_{i…
Étale fundamental groups of strongly -regular schemes
Bhargav Bhatt, Javier Carvajal-Rojas, Patrick Graf +2
We prove that a strongly -regular scheme admits a finite, generically Galois, and étale-in-codimension-one cover such that the étale fundamental groups…
Motivic random variables and representation stability I: Configuration spaces
Sean Howe
We prove a motivic stabilization result for the cohomology of the local systems on configuration spaces of varieties over attached to character polynomials. Our approa…
Invariance of certain plurigenera for surfaces in mixed characteristics
Andrew Egbert, Christopher D. Hacon
We prove the deformation invariance of Kodaira dimension and of certain plurigenera for log surfaces which are smooth over a DVR.
Towards a link theoretic characterization of smoothness
Tommaso de Fernex, Yu-Chao Tu
A theorem of Mumford states that, on complex surfaces, any normal isolated singularity whose link is diffeomorphic to a sphere is actually a smooth point. While this property fails…
Generic Vanishing Fails for Surfaces in Positive Characteristic
Stefano Filipazzi
We show that there exist smooth surfaces violating Generic Vanishing in any characteristic . As a corollary, we recover a result of Hacon and Kovács, producing counterexa…