6 papers
The Hassett-Keel program via -stability
Luca Tasin, Filippo Viviani
We study the intrinsic notion of -stability for curves arising from the Beyond GIT approach to moduli spaces. We show that it recovers Deligne-Mumford stability for …
Rank one foliations on toroidal varieties
Calum Spicer, Luca Tasin
Consider a log canonical pair such that there is a Cartier divisor for which is locally free and globally generated. Let $\mathcal…
Delta invariants of weighted hypersurfaces
Taro Sano, Luca Tasin
We give a lower bound for the delta invariant of the fundamental divisor of a quasi-smooth weighted hypersurface. As a consequence, we prove K-stability of a large class of quasi-s…
K-stability of Fano weighted hypersurfaces via plt flags and convex geometry
Livia Campo, Kento Fujita, Taro Sano +1
We develop a framework to study the K-stability of weighted Fano hypersurfaces based on a combination of birational and convex-geometric techniques. As an application, we prove tha…
Forms and Complex Manifolds
Cinzia Bisi, Paolo Cascini, Luca Tasin
We study the intersection form on the second cohomology group of a compact Kähler manifold of dimension . Although the structure of is rela…
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…