Dynamics on supersingular K3 surfaces
Copyright policy )Dynamics on supersingular K3 surfaces
For any odd characteristic p\equiv 2 mod 3 , we exhibit an explicit automorphism on the supersingular K3 surface of Artin invariant one which does not lift to any characteristic zero model. Our construction builds on elliptic fibrations to produce a closed formula for the automorphism's characteristic polynomial on second cohomology, which turns out to be an irreducible Salem polynomial of degree 22 with coefficients varying with p .
- University of Hannover Germany
automorphism, Salem number, Dynamical Systems (math.DS), K3 surface, supersingular, Mathematics - Algebraic Geometry, Supersingular, \(K3\) surface, FOS: Mathematics, liftability, Number Theory (math.NT), elliptic fibration, Mathematics - Dynamical Systems, Algebraic Geometry (math.AG), Mathematics - Number Theory, Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\), Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), Automorphism, Dewey Decimal Classification::500 | Naturwissenschaften::510 | Mathematik, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Positive characteristic ground fields in algebraic geometry, Elliptic fibration, Automorphisms of surfaces and higher-dimensional varieties, \(K3\) surfaces and Enriques surfaces, Lift-ability
automorphism, Salem number, Dynamical Systems (math.DS), K3 surface, supersingular, Mathematics - Algebraic Geometry, Supersingular, \(K3\) surface, FOS: Mathematics, liftability, Number Theory (math.NT), elliptic fibration, Mathematics - Dynamical Systems, Algebraic Geometry (math.AG), Mathematics - Number Theory, Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\), Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), Automorphism, Dewey Decimal Classification::500 | Naturwissenschaften::510 | Mathematik, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Positive characteristic ground fields in algebraic geometry, Elliptic fibration, Automorphisms of surfaces and higher-dimensional varieties, \(K3\) surfaces and Enriques surfaces, Lift-ability
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).3 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!