5 citations · 6 across the 5 of their papers we have counts for
5 papers
An Update on the Classification of Rank 2 Weak Fano Threefolds
Joseph Cutrone, Nicholas Marshburn
In this paper, an update on the classification of smooth weak Fano threefolds with Picard number two and small anti-canonical maps is given. Geometric constructions are provided fo…
A Weak Fano Threefold Arising as a Blowup of a Curve of Genus 5 and Degree 8 on
Joseph W. Cutrone, Michael A. Limarzi, Nicholas A. Marshburn
This article constructs a smooth weak Fano threefold of Picard number two with small anti-canonical morphism that arises as a blowup of a smooth curve of genus 5 and degree 8 in $\…
Brill-Noether general curves on Knutsen K3 surfaces
Maxim Arap, Nicholas Marshburn
This article classifies Knutsen K3 surfaces all of whose hyperplane sections are irreducible and reduced. As an application, this gives infinite families of K3 surfaces of Picard n…
On the existence of certain weak Fano threefolds of Picard number two
Maxim Arap, Joseph Cutrone, Nicholas Marshburn
This article settles the question of existence of smooth weak Fano threefolds of Picard number two with small anti-canonical map and previously classified numerical invariants obta…
Towards the Classification of Weak Fano Threefolds with ρ= 2
Joseph W. Cutrone, Nicholas A. Marshburn
In this paper, we provide examples of Sarkisov links of type II between complex projective Fano threefolds with . To show examples of these links, we study smooth wea…