A. Knutsen

activity

19982026

most citedNegative curves on algebraic surfaces

53 citations · 177 across the 48 of their papers we have counts for

collaborators

Showing 2022 · math.AGShow all

4 papers · 2 filters

math.AG2022★ 3 cited

Rational curves and Seshadri constants on Enriques surfaces

Concettina Galati, Andreas Leopold Knutsen

We prove that classes of rational curves on very general Enriques surfaces are always $2$ -divisible. As a consequence, we prove that the Seshadri constant of any big and nef line b…

math.AG2022

Elliptic curves, ACM bundles and Ulrich bundles on prime Fano threefolds

Ciro Ciliberto, Flaminio Flamini, Andreas Leopold Knutsen

Let $X$ be any smooth prime Fano threefold of degree $2 g - 2$ in $P^{g + 1}$ , with $g \in {3, \dots, 10, 12}$ . We prove that for any integer $d$ satisfying $\left\lfloor \frac…

math.AG2022

Ulrich bundles on Del Pezzo threefolds

Ciro Ciliberto, Flaminio Flamini, Andreas Leopold Knutsen

We prove that for any $r \geq 2$ the moduli space of stable Ulrich bundles of rank $r$ and determinant $O_{X} (r)$ on any smooth Fano threefold $X$ of index two is smooth of…

math.AG2022

Ulrich bundles on a general blow--up of the plane

Ciro Ciliberto, Flaminio Flamini, Andreas Leopold Knutsen

We prove that on $X_{n}$ , the plane blown--up at $n$ general points, there are Ulrich line bundles with respect to a line bundle corresponding to curves of degree $m$ passing simply…