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math.NT2026
GCD and ABC inequalities for abelian varieties over function fields
Guoquan Gao
We prove two height inequalities for rational points on abelian varieties over function fields of characteristic 0. The first is the GCD inequality, which shows that the height wit…
cond-mat.mes-hall2026
Unravelling the Li-Haldane Conjecture with the Projected Ensemble
Daniel Spasic-Mlacak, Qi Camm Huang, Wen Wei Ho +1
The entanglement spectra of fractional quantum Hall states contain universal fingerprints of their underlying topological order, as posited by the Li-Haldane conjecture. In this wo…
cond-mat.quant-gas2026
Quasicrystalline Analogue of the Haldane Model
Benedict Burgess, Nigel Cooper
We present a model for a topological quasicrystalline system which is suitable for realisation in cold-atom experiments. We define the model in terms of complex momentum-space coup…