— We consider surfaces with two elliptic fibrations, each of them provided with a section. We study the orbits under the induced translation automorphisms proving that, under natural conditions, the finite orbits are confined to a curve. This goes in a similar direction of (and is motivated by) recent work by Cantat–Dujardin, although we use very different methods and obtain related but different results.
FINITE ORBITS IN SURFACES WITH A DOUBLE ELLIPTIC FIBRATION AND TORSION VALUES OF SECTIONS
Corvaja P.;
2026-01-01
Abstract
— We consider surfaces with two elliptic fibrations, each of them provided with a section. We study the orbits under the induced translation automorphisms proving that, under natural conditions, the finite orbits are confined to a curve. This goes in a similar direction of (and is motivated by) recent work by Cantat–Dujardin, although we use very different methods and obtain related but different results.File in questo prodotto:
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