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10 papers · 2 filters
Towards a quantum Lefschetz hyperplane theorem in all genera
Honglu Fan, Yuan-Pin Lee
An effective algorithm of determining Gromov--Witten invariants of smooth hypersurfaces in any genus (subject to a degree bound) from Gromov--Witten invariants of the ambient space…
Bertini Theorems for -signature and Hilbert-Kunz multiplicity
Javier Carvajal-Rojas, Karl Schwede, Kevin Tucker
We show that Bertini theorems hold for -signature and Hilbert--Kunz multiplicity. In particular, if is normal and quasi-projective with -signature…
Cluster algebras are Cox rings
Travis Mandel
It was recently shown by Gross, Hacking, and Keel that, in the absence of frozen indices, a cluster A-variety with generic coefficients is the universal torsor of the corresponding…
Vanishing on toric surfaces
Yuan Wang, Fei Xie
We prove the Kawamata-Viehweg vanishing and another Kodaira-type vanishing for projective toric surfaces over arbitrary fields.
Boundedness of Log Canonical Surface Generalized Polarized Pairs
Stefano Filipazzi
In this paper, we study the behavior of the sets of volumes of the form , where is a log canonical pair, and is a nef -divisor. Aft…
On invariance of plurigenera for foliated surface pairs
Jihao Liu
We prove an invariance of plurigenera for some foliated surface pairs of general type.