18 citations · 26 across the 3 of their papers we have counts for
6 papers · 1 filter
A note on syzygies and normal generation for trigonal curves
Michael Hoff
Let be a trigonal curve of genus and let be the unique trigonal line bundle inducing a map . This note provides…
On cylindrical smooth rational Fano fourfolds
Hang Thi Anh Nguyen, Michael Hoff, Truong Le Hoang
We construct new families of smooth Fano fourfolds with Picard rank which contain open -cylinders, that is, Zariski open subsets of the form , wher…
Brill-Noether general K3 surfaces with the maximal number of elliptic pencils of minimal degree
Michael Hoff, Andreas Leopold Knutsen
We explicitly construct Brill--Noether general surfaces of genus and having the maximal number of elliptic pencils of degrees and , respectively, and study…
New examples of rational Gushel-Mukai fourfolds
Michael Hoff, Giovanni Staglianò
We construct new examples of rational Gushel-Mukai fourfolds, giving more evidence for the analog of the Kuznetsov Conjecture for cubic fourfolds: a Gushel--Mukai fourfold is ratio…
The relative canonical resolution: Macaulay2-package, experiments and conjectures
Christian Bopp, Michael Hoff
This short note provides a quick introduction to relative canonical resolutions of curves on rational normal scrolls. We present our Macaulay2-package which computes the relative c…
Nonemptiness and smoothness of twisted Brill-Noether loci
George H. Hitching, Michael Hoff, Peter E. Newstead
Let be a vector bundle over a smooth curve . In this paper, we study twisted Brill--Noether loci parametrising stable bundles of rank and degree with the propert…