Oort's direct-sum conjecture for Newton polygons
Oort's direct-sum conjecture for Newton polygons
Let be a prime, and let and be Newton polygons that are realized in characteristic . Oort's direct-sum conjecture. Then is realized in characteristic . This conjecture concerns whether realizability of Newton polygons in a fixed characteristic is preserved under direct sum. The supplied context says it is an expectation of Oort and that the paper proves several results about it, but does not state that the conjecture itself is resolved.
Sources & referencesView supporting material
Primary source
Darren Schmidt, “Ekedahl-Oort Types and Newton Polygons of Abelian Covers of P^1 Branched at Three Points”, arXiv:2602.07693 (2026).
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