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作者:Damien Calaque
来源:[J].Annales de la faculté des sciences de Toulouse, 2019, Vol.28 (1), pp.67-90CEDRAM
摘要:We prove that shifted cotangent stacks carry a canonical shifted symplectic structure. We also prove that shifted conormal stacks carry a canonical Lagrangian structure. These results were believed to be true, but no written proof was available in the Artin case.
作者:Nicolas Lerner
来源:[J].Annales de la faculté des sciences de Toulouse, 2019, Vol.28 (1), pp.1-9CEDRAM
摘要:The mathematician Yuri Egorov died on October 6, 2018 in Toulouse. This text outlines two fundamental aspects of his work, the quantification of canonical transformations and the study of subelliptic operators.
作者:ShengYuan Zhao
来源:[J].Annales de la faculté des sciences de Toulouse, 2019, Vol.28 (1), pp.109-127CEDRAM
摘要:We study dynamical degree $>1$ real automorphisms of compact complex surfaces with a real structure. We show that a surface with such an automorphism is necessarily projective. We classify real abelian surfaces into eight types, according to the number of connected components of ...
作者:Jakob Hultgren
来源:[J].Annales de la faculté des sciences de Toulouse, 2019, Vol.28 (1), pp.11-65CEDRAM
摘要:Inspired by constructions in complex geometry we introduce a thermodynamic framework for Monge–Ampère equations on real tori. We show convergence in law of the associated point processes and explain connections to complex Monge–Ampère equations on abelian varieties and ...
作者:Matthias Gorny
来源:[J].Annales de la faculté des sciences de Toulouse, 2019, Vol.28 (1), pp.91-108CEDRAM
摘要:We build and study a multidimensional version of the Curie-Weiss model of self-organized criticality we have designed in [2]. For symmetric distributions satisfying some integrability condition, we prove that the sum $S_n$ of the randoms vectors in the model has a typical critica...
作者:Didier Arnal , Mouna Chaabouni , Mabrouka Hfaiedh
来源:[J].Annales de la faculté des sciences de Toulouse, 2019, Vol.28 (1), pp.129-143CEDRAM
摘要:In this paper, we study the restriction of the Kontsevich formality to the subalgebra of the linear polyvectors in the algebra of polyvector fields on $\mathbb{R}^d$. We prove that this formality is an analytic map.
作者:Stéphane Lamy
来源:[J].Annales de la faculté des sciences de Toulouse, 2019, Vol.28 (1), pp.145-207CEDRAM
摘要:We study the group $\mathrm{Tame}(\mathbb{A}^3)$ of tame automorphisms of the 3-dimensional affine space, over a field of characteristic zero. We recover, in a unified way, previous results of Kuroda, Shestakov, Umirbaev and Wright, about the theory of reduction and the relations...
作者:Mathieu Lewin , Elliott H. Lieb , Robert Seiringer
来源:[J].Journal de l'École polytechnique — Mathématiques, 2018CEDRAM
摘要:In this paper we define and study the classical Uniform Electron Gas (UEG), a system of infinitely many electrons whose density is constant everywhere in space. The UEG is defined differently from Jellium, which has a positive constant background but no constraint on the density....
作者:Stéphane Druel , Henri Guenancia
来源:[J].Journal de l'École polytechnique — Mathématiques, 2018CEDRAM
摘要:In this paper we show that any smoothable complex projective variety, smooth in codimension two, with klt singularities and numerically trivial canonical class admits a finite cover, étale in codimension one, that decomposes as a product of an abelian variety, and singular a...
作者:Delphine Pol
来源:[J].Annales de l'institut Fourier(IF 0.527), 2018, Vol.68 (2), pp.725-766CEDRAM
摘要:We consider the germ of a reduced curve, possibly reducible. F. Delgado de la Mata proved that such a curve is Gorenstein if and only if its semigroup of values is symmetrical. We extend here this symmetry property to any fractional ideal of a Gorenstein curve. We then focus...

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