Julia Schneider

activity

20182025

most citedAlgebraic subgroups of the plane Cremona group over a perfect field

9 citations · 22 across the 8 of their papers we have counts for

collaborators

8 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.AG2024

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 $k$ of characteristic $p > 0$ . We classify the Sarkisov…

math.AG2022★ 2 cited

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 $C$ is a quotient of any Cremona group of rank at least $4$ . This provides a definitive answer to the question of…

math.AG2021★ 4 cited

Generating the plane Cremona groups by involutions

Stéphane Lamy, Julia Schneider

We prove that over any perfect field the plane Cremona group is generated by involutions.

math.AG2020★ 2 cited

Generators of the plane Cremona group over the field with two elements

Julia Schneider

The plane Cremona group over the finite field $F_{2}$ is generated by three infinite families and finitely many birational maps with small base orbits. One family preserves…

math.AG2020★ 9 cited

Algebraic subgroups of the plane Cremona group over a perfect field

Julia Schneider, Susanna Zimmermann

We show that any infinite algebraic subgroup of the plane Cremona group over a perfect field is contained in a maximal algebraic subgroup of the plane Cremona group. We classify th…

math.AG2019★ 5 cited

Relations in the Cremona group over perfect fields

Julia Schneider

For perfect fields $k$ satisfying $[k ˉ : k] > 2$ , we construct new normal subgroups of the plane Cremona group and provide an elementary proof of its non-simplicity, following the…

math.AG2018

Plane curves of fixed bidegree and their $A_{k}$ -singularities

Julia Schneider

We provide a tool how one can view a polynomial on the affine plane of bidegree $(a, b)$ - by which we mean that its Newton polygon lies in the triangle spanned by $(a, 0)$ , $(0, b)$ …

Atomic decompositions for derived categories of G-surfaces

Explicit Sarkisov program for regular surfaces over arbitrary fields and applications

Birational maps of Severi-Brauer surfaces, with applications to Cremona groups of higher rank

Generating the plane Cremona groups by involutions

Generators of the plane Cremona group over the field with two elements

Algebraic subgroups of the plane Cremona group over a perfect field

Relations in the Cremona group over perfect fields

Plane curves of fixed bidegree and their Ak​-singularities

Plane curves of fixed bidegree and their $A_{k}$ -singularities