Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Quallbrunn, Federico"'
We show a stability-type theorem for foliations on projective spaces which arise as pullbacks of foliations with a split tangent sheaf on weighted projective spaces. As a consequence, we will be able to construct many irreducible components of the co
Externí odkaz:
http://arxiv.org/abs/2212.12974
Autor:
Molinuevo, Ariel, Quallbrunn, Federico
We determine the structure of the singular locus of generic codimension-$q$ logarithmic foliations and its relation with the unfoldings of said foliations. In the case where the ambient variety is the projective space $\mathbb{P}^n$ we calculate the
Externí odkaz:
http://arxiv.org/abs/2208.09089
In this paper, we investigate families of singular holomorphic Lie algebroids on complex analytic spaces. We introduce and study a special type of deformation called unfoldings of Lie algebroids, which generalizes the theory of singular holomorphic f
Externí odkaz:
http://arxiv.org/abs/2101.05845
Publikováno v:
J. Pure Appl. Algebra (2020), 106630
Let $\omega$ be a differential $q$-form defining a foliation of codimension $q$ in a projective variety. In this article we study the singular locus of $\omega$ in various settings. We relate a certain type of singularities, which we name \emph{persi
Externí odkaz:
http://arxiv.org/abs/1909.00724
Autor:
Molinuevo, Ariel, Quallbrunn, Federico
We work with codimension one foliations in the projective space $\mathbb{P}^{n}$, given a differential one form $\omega\in H^0(\mathbb{P}^n,\Omega^1_{\mathbb{P}^n}(e))$, such differential form verifies the Frobenius integrability condition $\omega\we
Externí odkaz:
http://arxiv.org/abs/1706.07508
Publikováno v:
Rev. Mat. Iberoam., 35(3):857--876, 2019
We will work with codimension one holomorphic foliations over the complex projective space, represented by integrable forms $\omega\in H^0(\Omega^1_{\PP^n}(e))$. Our main result is that, under suitable hypotheses, the Kupka set of the singular locus
Externí odkaz:
http://arxiv.org/abs/1611.03800
Publikováno v:
In Journal of Pure and Applied Algebra June 2021 225(6)
Publikováno v:
Asian Journal of Mathematics, 22(6):1025--1046, 2018
Let $\omega$ be a differential 1-form defining an algebraic foliation of codimension 1 in projective space. In this article we use commutative algebra to study the singular locus of $\omega$ through its ideal of definition. Then, we expose the relati
Externí odkaz:
http://arxiv.org/abs/1509.07231
Autor:
Quallbrunn, Federico
Publikováno v:
Quallbrunn, F. Isotrivial Unfoldings and Structural Theorems for Foliations on Projective Spaces. Bull Braz Math Soc, New Series 48, 335-345 (2017)
Following T. Suwa, we study unfoldings of algebraic foliations and their relationship with families of foliations, making focus on those unfoldings related to trivial families. The results obtained in the study of unfoldings are then applied to obtai
Externí odkaz:
http://arxiv.org/abs/1502.00618
Autor:
Quallbrunn, Federico
Publikováno v:
Journal of Singularities volume 11 (2015), 164-189
A singular distribution on a non-singular variety $X$ can be defined either by a subsheaf $D$ of the tangent sheaf, or by the zeros of a subsheaf $D^0$ of the sheaf of 1-forms. Although both definitions are equivalent under mild conditions on $D$, th
Externí odkaz:
http://arxiv.org/abs/1305.3817