Introduction j 99K - GitHub Pages Phd thesis: Compositions and relations in the Cremona groups. University of Basel, Master thesis: Geometry and Invariants of the Affine Group. University of Basel, Birational Geometry and Regulous Functions, June , member of scientific committee, supported by ERC Saphidir.
ArXiv:1909.11050v1 [math.AG] 24 Sep 2019 Full Professor, University of Paris-Saclay mann@ Research interests: birational geometry, Cremona groups, algebraic groups, algebraic geometry Academic Career.
Signature morphisms from the Cremona group over a non-closed Stéphane Lamy, Susanna Zimmermann, Signature morphisms from the Cremona group over a non-closed field. J. Eur. Math. Soc. 22 (), no. 10, pp. – DOI /JEMS/
THE CREMONA GROUP OF THE PLANE IS COMPACTLY PRESENTED SUSANNA ZIMMERMANN Abstract. This article shows that the Cremona group of the plane is com-pactly presented. To do this we prove that it is a generalised amalgamated product of three of its algebraic subgroups (automorphisms of the plane and Hirzebruch surfaces) divided by one relation. Contents 1. Introduction 1 2. Description of Aut(P 1 P.
Susanna Zimmermann - Google Scholar We study large groups of birational transformations Bir (X), where X is a variety of dimension at least 3, defined over C or a subfield of C. Two prominent cases are when X is the projective space, in which case Bir (X) is the Cremona group of rank n, or when X is a smooth cubic hypersurface.
[1901.04145] Quotients of higher dimensional Cremona groups Factorization centers in dimension 2 and the Grothendieck ring of varieties.
Geometry and Invariants of the Affine Group - GitHub Pages
View a PDF of the paper titled Algebraic subgroups of the plane Cremona group over a perfect field, by Julia Schneider and Susanna Zimmermann. K-Stability, Birational Geometry and Mirror Symmetry Abstract. We classify birational involutions of the real projective plane up to conjugation. In contrast with an analogous classification over the complex numbers (due to E. Bertini, G. Castelnuovo, F. Enriques, L. Bayle and A. Beauville), which includes four different classes of involutions, we discover 12 different classes over the reals, and provide many examples when the fixed curve of an.