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7 papers · 2 filters
On the big quantum cohomology of coadjoint varieties
Nicolas Perrin, Maxim Smirnov
This paper is devoted to the study of the quantum cohomology of coadjoint varieties of simple algebraic groups across all Dynkin types. We determine the non-semisimple factors of t…
On the Picard Group of the Moduli Space of Curves via -Spin Structures
Danil Gubarevich
In this paper, we obtain explicit expressions for Pandharipande-Pixton-Zvonkine relations in the second rational cohomology of and comparing the resu…
Parabolic automorphisms of hyperkahler manifolds
Ekaterina Amerik, Misha Verbitsky
A parabolic automorphism of a hyperkahler manifold is a holomorphic automorphism acting on by a non-semisimple quasi-unipotent linear map. We prove that a parabolic automo…
Tits-type alternative for certain groups acting on algebraic surfaces
Ivan Arzhantsev, Mikhail Zaidenberg
A theorem of Cantat and Urech says that an analog of the classical Tits alternative holds for the group of birational automorphisms of a compact complex Kaehler surface. We establi…
Continuité des racines d'après Rabinoff et Berkovich
Emeryck Marie
The content of this paper is a generalization of a the theorem 9.2 of the paper arXiv:1007.2665 written by Joseph Rabinoff : if is a finite family of polyhedra in $N_…
Schottky spaces and universal Mumford curves over
Jérôme Poineau, Daniele Turchetti
For every integer we define a universal Mumford curve of genus in the framework of Berkovich spaces over . This is achieved in two steps: first, we build…