Zobrazeno 1 - 10
of 415
pro vyhledávání: '"P, DUBOULOZ"'
Autor:
Dubouloz, Adrien, Mayeux, Arnaud
We study deformation spaces using multi-centered dilatations. Interpolating Fulton simple deformation space and Rost asymmetric double deformation space, we introduce (asymmetric) deformation spaces attached to chains of immersions of arbitrary lengt
Externí odkaz:
http://arxiv.org/abs/2411.15606
We give constructions of completions of the affine $3$-space into total spaces of del Pezzo fibrations of every degree other than $7$ over the projective line. We show in particular that every del Pezzo surface other than $\mathbb{P}^{2}$ blown-up in
Externí odkaz:
http://arxiv.org/abs/2401.02857
Autor:
Chitayat, Michael, Dubouloz, Adrien
We show that a $3$-dimensional Pham-Brieskorn hypersurface $\{ X_0^{a_0} + X_1^{a_1} + X_2^{a_2} + X_3^{a_3}=0\}$ in $\mathbb{A}^4$ such that $\min\{a_0, a_1, a_2, a_3 \} \geq 2$ and at most one element $i$ of $\{0,1,2,3\}$ satisfies $a_i = 2$ does n
Externí odkaz:
http://arxiv.org/abs/2312.07587
In this text, we wish to provide the reader with a short guide to recent works on the theory of dilatations in Commutative Algebra and Algebraic Geometry. These works fall naturally into two categories: one emphasises foundational and theoretical asp
Externí odkaz:
http://arxiv.org/abs/2306.17003
We study faithful actions with a dense orbit of abelian unipotent groups on quintic del Pezzo varieties over a field of characteristic zero. Such varieties are forms of linear sections of the Grassmannian of planes in a 5-dimensional vector space. We
Externí odkaz:
http://arxiv.org/abs/2209.04152
Autor:
Bot, Anna, Dubouloz, Adrien
We propose a framework to give a precise meaning to the intuitive notion of "family of real forms of a variety parametrised by a variety" and study some fundamental properties of this notion. As an illustration, for any $n \geq 1$, we construct the f
Externí odkaz:
http://arxiv.org/abs/2206.01713
We initiate a study of punctured tubular neighborhoods and homotopy theory at infinity in motivic settings. We use the six functors formalism to give an intrinsic definition of the stable motivic homotopy type at infinity of an algebraic variety. Our
Externí odkaz:
http://arxiv.org/abs/2206.01564
Autor:
Dubouloz, Adrien
We consider fibrations by affine lines on smooth affine surfaces obtained as complements of smooth rational curves $B$ in smooth projective surfaces $X$ defined over an algebraically closed field of characteristic zero. We observe that except for two
Externí odkaz:
http://arxiv.org/abs/2205.15098
We analyze the question of which motivic homotopy types admit smooth schemes as representatives. We show that given a pointed smooth affine scheme $X$ and an embedding into affine space, the affine deformation space of the embedding gives a model for
Externí odkaz:
http://arxiv.org/abs/2112.08241
In this paper, we initiate a study of motivic homotopy theory at infinity. We use the six functor formalism to give an intrinsic definition of the stable motivic homotopy type at infinity of an algebraic variety. Our main computational tools include
Externí odkaz:
http://arxiv.org/abs/2104.03222