3 papers
math.AG2025
Atomic decompositions for derived categories of G-surfaces
Alexey Elagin, Julia Schneider, Evgeny Shinder
We construct canonical semi-orthogonal decompositions for derived categories of smooth projective surfaces. These decompositions are compatible with the operations in the minimal m…
math.AG2025
Explicit Sarkisov program for regular surfaces over arbitrary fields and applications
Fabio Bernasconi, Andrea Fanelli, Julia Schneider +1
We prove the Sarkisov program for projective surfaces over excellent base rings, including the case of non-perfect base fields of characteristic . We classify the Sarkisov…
math.AG2024
Birational maps of Severi-Brauer surfaces, with applications to Cremona groups of higher rank
Jérémy Blanc, Julia Schneider, Egor Yasinsky
We prove that any group of cardinality at most the one of is a quotient of any Cremona group of rank at least . This provides a definitive answer to the question of…