3 papers
math.AG2026
On a conjecture by Kollár and SaccÃ
Pascal Autissier, Andrea Fanelli
In this note we study smooth commutative group schemes over curves, whose generic fibre is an abelian variety. We prove a modified version of the conjecture proposed in [KS25].
math.NT2026
Effective normal basis theorem
Pascal Autissier
Let K be a finite Galois extension of Q. The normal basis theorem provides an element of K whose conjugates form a Q-basis of K. Here we obtain such an element with controlled size…
math.AG2025
Iterated polynomials are dense
Pascal Autissier, Jean-Philippe Furter, Egor Yasinsky
For any infinite field k and any positive integer r, we show constructively that the map sending each polynomial P k[x] to its r-th iterate is dominant in various inductive l…