The Artin invariant of a smooth K3 hypersurface is characterized in terms of quasi-F-splitting, yielding an explicit formula.
Title resolution pending
5 Pith papers cite this work. Polarity classification is still indexing.
5
Pith papers citing it
verdicts
UNVERDICTED 5representative citing papers
Proves explicit reciprocity law for Euler system of spin motive of genus 2 Siegel modular form, giving partial Iwasawa Main Conjecture and Bloch-Kato conjecture results.
The authors establish the Carvajal-Rojas-Schwede-Tucker conjecture on positive limiting F-signature for two specific classes of complex KLT singularities using inductive arguments and toric degenerations inspired by K-stability.
Degeneration of the Hodge-to-de Rham and Hochschild-to-cyclic spectral sequences at E2 is equivalent to all singularities being quasihomogeneous plane curve singularities for integral projective LCI curves.
Under a codimension assumption on the singular locus, isomorphism of the m-th differential sheaf implies isomorphisms for all lower i on complex hypersurfaces, with a positive characteristic analogue discussed.
citing papers explorer
-
An explicit formula for the Artin invariant of smooth K3 hypersurfaces
The Artin invariant of a smooth K3 hypersurface is characterized in terms of quasi-F-splitting, yielding an explicit formula.
-
On the Bloch-Kato conjecture for GSp(4)
Proves explicit reciprocity law for Euler system of spin motive of genus 2 Siegel modular form, giving partial Iwasawa Main Conjecture and Bloch-Kato conjecture results.
-
On positivity of the limit F-signature
The authors establish the Carvajal-Rojas-Schwede-Tucker conjecture on positive limiting F-signature for two specific classes of complex KLT singularities using inductive arguments and toric degenerations inspired by K-stability.
-
Hodge-to-de Rham degeneration and quasihomogeneous singularities of curves
Degeneration of the Hodge-to-de Rham and Hochschild-to-cyclic spectral sequences at E2 is equivalent to all singularities being quasihomogeneous plane curve singularities for integral projective LCI curves.
-
Higher singularities for hypersurfaces
Under a codimension assumption on the singular locus, isomorphism of the m-th differential sheaf implies isomorphisms for all lower i on complex hypersurfaces, with a positive characteristic analogue discussed.