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 2018 · math.AGShow all

4 papers · 2 filters

math.AG2018

Global sections of twisted normal bundles of K3 surfaces and their hyperplane sections

Andreas Leopold Knutsen

Let $S \subset P^{g}$ be a smooth $K 3$ surface of degree $2 g - 2$ , $g \geq 3$ . We classify all the cases for which $h^{0} (N_{S / P^{g}} (- 2)) \neq = 0$ and the cases…

math.AG2018★ 8 cited

A note on Severi varieties of nodal curves on Enriques surfaces

C. Ciliberto, T. Dedieu, C. Galati +1

Let $∣ L ∣$ be a linear system on a smooth complex Enriques surface $S$ whose general member is a smooth and irreducible curve of genus $p$ , with $L^{2} > 0$ , and let $V_{∣ L ∣, δ} (S)$ b…

math.AG2018★ 11 cited

Irreducible unirational and uniruled components of moduli spaces of polarized Enriques surfaces

Ciro Ciliberto, Thomas Dedieu, Concettina Galati +1

We give an explicit description of the irreducible components of the moduli spaces of polarized Enriques surfaces in terms of decompositions of the polarization as an effective sum…

math.AG2018

Moduli of non-standard Nikulin surfaces in low genus

Andreas Leopold Knutsen, Margherita Lelli-Chiesa, Alessandro Verra

Primitively polarized genus $g$ Nikulin surfaces $(S, M, H)$ are of two types, that we call standard and non-standard depending on whether the lattice embedding $\mathbb{Z}[H] \oplus…