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math.AG2025
Effective positivity of Hodge bundles and applications
Giulio Codogni, Zsolt Patakfalvi, Luca Tasin
We prove new boundedness results across different areas of algebraic geometry, stemming from a unifying technical starting point: bounding the integer such that the -th…
math.AG2025
On Gorenstein -rational threefold and fourfold singularities
Jefferson Baudin, Zsolt Patakfalvi, Linus Rösler +1
We prove that for and , quasi--Gorenstein --pure and --rational --fold singularities are canonical. This is analogous to the usual fact that r…