Cristina Bertone

activity

20072026

most citedMacaulay-like marked bases

11 citations · 57 across the 23 of their papers we have counts for

collaborators

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12 papers · 1 filter

math.AG2025

Hyperflex loci of hypersurfaces

Cristina Bertone, Martin Weimann

The $k$ -flex locus of a projective hypersurface $V \subset P^{n}$ is the locus of points $p \in V$ such that there is a line with order of contact at least $k$ with $V$ at $p$ .…

math.AG2019★ 1 cited

On the Quot scheme $Quot_{O_{P^{1}}^{r} / P^{1} / k}^{d}$

Cristina Bertone, Steven L. Kleiman, Margherita Roggero

We consider the quot scheme $Quot_{F^{r} / P^{1} / k}^{d}$ of locally free quotients of $F^{r} := ⨁^{r} O_{P^{1}}$ with Hilbert po…

math.AG2017

Smoothable Gorenstein points via marked schemes and double-generic initial ideals

Cristina Bertone, Francesca Cioffi, Margherita Roggero

Over an infinite field $K$ with $char (K) \neq = 2, 3$ , we investigate smoothable Gorenstein $K$ -points in a punctual Hilbert scheme and obtain the following results: (i) every…

math.AG2017★ 2 cited

Functors of Liftings of Projective Schemes

Cristina Bertone, Francesca Cioffi, Davide Franco

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 p…

math.AG2015★ 10 cited

Double-Generic Initial Ideal and Hilbert Scheme

Cristina Bertone, Francesca Cioffi, Margherita Roggero

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…

math.AG2013★ 6 cited

The scheme of liftings and applications

Cristina Bertone, Francesca Cioffi, Margherita Guida +1

We study the locus of the liftings of a homogeneous ideal $H$ in a polynomial ring over any field. We prove that this locus can be endowed with a structure of scheme $L_{H}$ …