L. Bǎdescu

activity

19952014

most citedGrothendieck-Lefschetz Theory, Set-Theoretic Complete Intersections and Rational Normal Scrolls

2 citations · 3 across the 9 of their papers we have counts for

collaborators

9 papers

math.AG2014★ 1 cited

Infinitesimal extensions of rank two vector bundles on submanifolds of small codimension

Lucian Badescu

Let $X$ be a submanifold of dimension $n$ of the complex projective space $P^{N}$ ( $n < N$ ), and let $E$ be a vector bundle of rank two on $X$ . If $n \geq \frac{N + 3}{2} \geq 4$ w…

math.AG2014

Connectivity and a Problem of Formal Geometry

Lucian Badescu

Let $P = P^{m} (e) \times P^{n} (h)$ be a product of weighted projective spaces, and let $Δ_{P}$ be the diagonal of $P \times P$ . We prove an algebraization result for formal-ra…

math.AG2011

Seshadri positive submanifolds of polarized manifolds

Lucian Badescu, Mauro C. Beltrametti

Let $Y$ be a submanifold of dimension $y$ of a polarized complex manifold $(X, A)$ of dimension $k \geq 3$ , with $1 \leq y \leq k - 1$ . We define and study two positivity conditions on $…

math.AG2009★ 2 cited

Grothendieck-Lefschetz Theory, Set-Theoretic Complete Intersections and Rational Normal Scrolls

Lucian Badescu, Giuseppe Valla

Using the Grothendieck-Lefschetz theory (see \cite{[SGA2]}) we prove a criterion to deduce that certain subvarieties of $P^{n}$ of dimension $\geq 2$ are not set-theoretic co…

math.AG2007

A connectedness theorem for products of weighted projective spaces

Lucian Badescu, Flavia Repetto

We prove a connectedness result for products of weighted projective spaces.

math.AG2007

Projective manifolds containing special curves

Lucian Badescu, Mauro C. Beltrametti

Let $Y$ be a smooth curve embedded in a complex projective manifold $X$ of dimension $n \geq 2$ with ample normal bundle $N_{Y ∣ X}$ . For every $p \geq 0$ let $α_{p}$ denote the natural…

math.AG2007

On the normal bundle of submanifolds of $P^{n}$

Lucian Badescu

Let $X$ be a submanifold of dimension $d \geq 2$ of the complex projective space $P^{n}$ . We prove results of the following type. i) If $X$ is irregular and $n = 2 d$ then the no…

math.AG2007

A Barth-Lefschetz theorem for submanifolds of a product of projective spaces

Lucian Badescu, Flavia Repetto

Let $X$ be a complex submanifold of dimension $d$ of $P^{m} \times P^{n}$ ( $m \geq n \geq 2$ ) and denote by $α\colon\Pic(\mathbb P^m\times\mathbb P^n)\to \Pic(X)$ the restr…

alg-geom1995

Algebraic Barth-Lefschetz theorems

Lucian Badescu

Using results of Hironaka-Matsumura and Faltings, we prove a strong version of the well known Fulton-Hansen connectivity theorem for weighted projective spaces. As a consequence we…

Infinitesimal extensions of rank two vector bundles on submanifolds of small codimension

Connectivity and a Problem of Formal Geometry

Seshadri positive submanifolds of polarized manifolds

Grothendieck-Lefschetz Theory, Set-Theoretic Complete Intersections and Rational Normal Scrolls

A connectedness theorem for products of weighted projective spaces

Projective manifolds containing special curves

On the normal bundle of submanifolds of Pn

A Barth-Lefschetz theorem for submanifolds of a product of projective spaces

Algebraic Barth-Lefschetz theorems

On the normal bundle of submanifolds of $P^{n}$