5 papers · 1 filter
Degree Growth of Iterates of Curves and Likely Intersections
Sina Saleh, Jit Wu Yap
We study the growth of the bidegree of an ample irreducible curve in under a product polynomial endomorphism , where at least one of …
Finiteness of an Isogeny Class via Equidistribution
Jit Wu Yap
In a very recent, beautiful paper, Junyi Xie and Ziquan Yang gave a new proof of Faltings' isogeny theorem over number fields by reducing to Tate's theorem over finite fields. We s…
Non-Archimedean Rigidity and Uniformity for Common Preperiodic Points
Chen Gong, Jit Wu Yap
Let be an algebraically closed, complete non-Archimedean field of residue characteristic . Let be a polynomial of degree at least over which does not have potent…
Uniform boundedness of small points on abelian varieties over function fields
Nicole Looper, Jit Wu Yap
Let be a field of characteristic and let be the function field of a geometrically irreducible projective curve over . Let be a -dimensional abeli…
On the pointwise convergence of the number of abelian varieties over with fixed trace
Zhao Yu Ma, Jit Wu Yap, Jeff Achter +1
Extending Katz-Sarnak heuristics, Ballini-Lombardo-Verzobio [BLV25] conjectures a limiting distribution as for , the number of -dimensional…