Raquel Mallavibarrena

activity

20062024

most citedOn fundamental forms and osculating bundles

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

math.AG2024★ 1 cited

On fundamental forms and osculating bundles

Raquel Mallavibarrena, Ragni Piene

We define higher order fundamental forms and osculating spaces of projective algebraic varieties, using sheaves of principal parts. We show that the $m$ th fundamental form can be v…

math.AG2020

Rational conic fibrations of sectional genus two

Antonio Lanteri, Raquel Mallavibarrena

Polarized rational surfaces $(X, L)$ of sectional genus two ruled in conics are studied. When they are not minimal, they are described as the blow-up of $F_{1}$ at s…

math.AG2010

Inflectional loci of scrolls II

Antonio Lanteri, Raquel Mallavibarrena, Ragni Piene

Let $X \subset P^{N}$ be a scroll over a $m$ -dimensional variety $Y$ . We find the locally free sheaves on $X$ governing the osculating behavior of $X$ , and, under certain dime…

math.AG2007

Osculating properties of decomposable scrolls

Antonio Lanteri, Raquel Mallavibarrena

Osculating spaces of decomposable scrolls (of any genus and not necessarily normal)are studied and their inflectional loci are related to those of their generating curves by using…

math.AG2006

Inflectional loci of scrolls

Antonio Lanteri, Raquel Mallavibarrena, Ragni Piene

Let $X \subset P^{N}$ be a scroll over a smooth curve $C$ and let $Ł = O_{P^{N}} (1) ∣_{X}$ denote the hyperplane bundle. The special geometry of $X$ implies that som…