Zobrazeno 1 - 10
of 125
pro vyhledávání: '"Marchesi, Simone"'
Autor:
Marchesi, Simone, Tocino, Alicia
In this survey we recognize Enrique Arrondo's contributions over the whole of its career, recalling his professional history and collecting the results of his mathematical production.
Externí odkaz:
http://arxiv.org/abs/2403.19064
We exhibit a relationship between projective duality and the sheaf of logarithmic vector fields along a reduced divisor $D$ of projective space, in that the push-forward of the ideal sheaf of the conormal variety in the point-hyperplane incidence, tw
Externí odkaz:
http://arxiv.org/abs/2312.13656
In this article, we study the weak and strong Lefschetz of higher dimensional quotients and dimension 1 almost complete intersections. We then apply the obtained results to the study of the Jacobian algebra of hyperplane arrangements.
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Externí odkaz:
http://arxiv.org/abs/2310.17794
In this work we study the moduli space of instanton bundles on the flag twistor space $F:=F(0,1,2)$. We stratify them in terms of the minimal twist supporting global sections and we introduce the notion of (special) 't Hooft bundle on $F$. In particu
Externí odkaz:
http://arxiv.org/abs/2307.02197
We define the notion of generalized logarithmic sheaves on a smooth projective surface, associated to a pair consisting of a reduced curve and some fixed points on it. We then set up the study of the Torelli property in this setting, focusing mostly
Externí odkaz:
http://arxiv.org/abs/2302.07632
In this paper, we introduce the notion of a complete hypertetrahedral arrangement $\mathcal{A}$ in $\mathbb{P}^{n}$. We address two basic problems. First, we describe the local freeness of $\mathcal{A}$ in terms of smaller complete hypertetrahedral a
Externí odkaz:
http://arxiv.org/abs/2111.01116
Autor:
Faenzi, Daniele, Marchesi, Simone
We prove stability of logarithmic tangent sheaves of singular hypersurfaces D of the projective space with constraints on the dimension and degree of the singularities of D. As main application, we prove that determinants and symmetric determinants h
Externí odkaz:
http://arxiv.org/abs/2101.06946
Autor:
Marchesi, Simone, Vallès, Jean
In this paper we characterize the rank two vector bundles on $\mathbb{P}^2$ which are invariant under the actions of the parabolic subgroups $G_p:=\mathrm{Stab}_p(\mathrm{PGL}(3))$ fixing a point in the projective plane, $G_L:=\mathrm{Stab}_L(\mathrm
Externí odkaz:
http://arxiv.org/abs/2010.06506
In this work we study $k$-type uniform Steiner bundles, being $k$ the lowest degree of the splitting. We prove sharp upper and lower bounds for the rank in the case $k=1$ and moreover we give families of examples for every allowed possible rank and e
Externí odkaz:
http://arxiv.org/abs/2005.08253