Split Support on the Absolute Arithmetic Curve: Arithmetic Jacobians, Frobenius Perfection, Cyclotomic Carry, and Mixed-Support Geometry

Version 4 pre-publication draft on the split-zero globalization G(R)=R∪{τ} of a nonzero commutative ring, separating the actual semiring zero from the supported ring zero. The draft develops the resulting arithmetic geometry in the setting of semiring spectra, the Connes--Consani absolute F1-curve, arithmetic Picard and Jacobian monoids, Frobenius-perfect denominator towers, and characteristic-one arithmetic and scaling sites. The draft records algebraic support identities, fixed-locus and division phenomena, Boolean-cubical localization, projective-space and projective-semimodule constraints, conservative ideal arithmetic over Dedekind domains, and the behavior of support-separated ideal weights. For the completed arithmetic curve it formulates the arithmetic Jacobian as Pic_f × B, analyzes denominator chains and Frobenius perfection, and relates finite cyclotomic phase to an adelic history extension. Status. This is a pre-publication mathematical draft and side research note, not part of the public-domain manuscript translation archive and not a certified critical edition. The upload contains the Version 4 PDF as the front file and the corresponding LaTeX source. The draft explicitly makes no identification of F1 with the Boolean semiring, no perfectoid-space claim, and no proof of the Riemann hypothesis.