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pro vyhledávání: '"Bertone, Cristina"'
Publikováno v:
Experimental Mathematics, 2024
We introduce the notion of a relative marked basis over quasi-stable ideals, together with constructive methods and a functorial interpretation, developing computational methods for the study of Hilbert schemes over quotients of polynomial rings. The
Externí odkaz:
http://arxiv.org/abs/2203.11770
Autor:
Bertone, Cristina, Cioffi, Francesca
Publikováno v:
Collectanea Mathematica, 2021
Given a finite order ideal $\mathcal O$ in the polynomial ring $K[x_1,\dots, x_n]$ over a field $K$, let $\partial \mathcal O$ be the border of $\mathcal O$ and $\mathcal P_{\mathcal O}$ the Pommaret basis of the ideal generated by the terms outside
Externí odkaz:
http://arxiv.org/abs/2003.14218
We consider the quot scheme $\mathrm{Quot}^d_{\mathcal F^r/ \mathbb P^1/ k}$ of locally free quotients of $\mathcal F^r:= \bigoplus ^{ r} \mathcal O_{\mathbb P^1 }$ with Hilbert polynomial $p(t)=d$. We prove that it is a smooth variety of dimension $
Externí odkaz:
http://arxiv.org/abs/1906.01953
Autor:
Bertone, Cristina, Cioffi, Francesca
In this paper, we investigate the behavior of almost reverse lexicographic ideals with the Hilbert function of a complete intersection. More precisely, over a field $K$, we give a new constructive proof of the existence of the almost revlex ideal $J\
Externí odkaz:
http://arxiv.org/abs/1803.02330
Over an infinite field $K$ with $\mathrm{char}(K)\neq 2,3$, we investigate smoothable Gorenstein $K$-points in a punctual Hilbert scheme from a new point of view, which is based on properties of double-generic initial ideals and of marked schemes. We
Externí odkaz:
http://arxiv.org/abs/1712.06392
A classical approach to investigate a closed projective scheme $W$ consists of considering a general hyperplane section of $W$, which inherits many properties of $W$. The inverse problem that consists in finding a scheme $W$ starting from a possible
Externí odkaz:
http://arxiv.org/abs/1706.02618
Akademický článek
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Let $ \Bbbk$ be a field of arbitrary characteristic, $A$ a Noetherian $ \Bbbk$-algebra and consider the polynomial ring $A[\mathbf x]=A[x_0,\dots,x_n]$. We consider homogeneous submodules of $A[\mathbf x]^m$ having a special set of generators: a mark
Externí odkaz:
http://arxiv.org/abs/1511.03547
Autor:
Bertone, Cristina
Les courbes algébriques affines sont un outil qui est appliqué dans plusieurs domains, par example le CAGD. Elles sont définies par des polynômes, mais souvent elles ont plusieurs composantes irréductibles distinctes. Dans cette thèse on dével
Externí odkaz:
http://tel.archives-ouvertes.fr/tel-00560802
http://tel.archives-ouvertes.fr/docs/00/56/08/02/PDF/TheseHal.pdf
http://tel.archives-ouvertes.fr/docs/00/56/08/02/PDF/TheseHal.pdf
Following the approach in the book "Commutative Algebra", by D. Eisenbud, where the author describes the generic initial ideal by means of a suitable total order on the terms of an exterior power, we introduce first the generic initial extensor of a
Externí odkaz:
http://arxiv.org/abs/1503.03768