An Algebraic-Geometry Approach to Prime Factorization. (arXiv:2209.11650v1 [cs.CR])

New algorithms for prime factorization that outperform the existing ones or
take advantage of particular properties of the prime factors can have a
practical impact on present implementations of cryptographic algorithms that
rely on the complexity of factorization. Currently used keys are chosen on the
basis of the present algorithmic knowledge and, thus, can potentially be
subject to future breaches. For this reason, it is worth to investigate new
approaches which have the potentiality of giving a computational advantage. The …

geometry