Mathematicians crack formula for tracking data loss in complex systems
Researchers have developed a new computational method for predicting how much information degrades when mathematical structures change form. The breakthrough could improve how engineers model errors in cryptography, data transmission, and quantum computing—fields where understanding information loss is critical to system reliability.
Originaltitel: Base change conductors through intersection theory and quotient singularities
We perform a systematic study of the base change conductor for Jacobians. Through the lens of intersection theory and Deligne’s Riemann–Roch theorem, we present novel computational approaches for both the tame and wild parts of the base change conductor. Our key results include a general formula of the tame part, as well as a computation of the wild part in terms of Galois quotients of semi-stable models of the curves. We treat in detail the case of potential good reduction when the quotient only has weak wild quotient singularities, relying on recent advances by Obus and Wewers.