On varieties with Ulrich twisted conormal bundles
V Antonelli, G Casnati, A Lopez… - Proceedings of the …, 2024 - ams.org
On varieties with Ulrich twisted conormal bundles Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 152, Number 11, November 2024, Pages 4645–4658 …
MATHEMATICAL SOCIETY Volume 152, Number 11, November 2024, Pages 4645–4658 …
The interpolation problem: When can you pass a curve of a given type through 𝑛 random points in space?
The interpolation problem is a natural and fundamental question whose roots trace back to
ancient Greece. The story is long and rich, with many chapters, and a complete solution has …
ancient Greece. The story is long and rich, with many chapters, and a complete solution has …
Stability of normal bundles of Brill–Noether curves
I Coskun, G Smith - Mathematische Annalen, 2024 - Springer
We prove that the normal bundle of a general Brill–Noether curve of genus g≥ 1 and
degree d in P r is semistable if g= 1 or or d is larger than an explicit function of g and r. We …
degree d in P r is semistable if g= 1 or or d is larger than an explicit function of g and r. We …
Interpolation for degree 2 Veroneses of odd dimension
R Shang - arXiv preprint arXiv:2411.16672, 2024 - arxiv.org
A classical fact is that through any $ d+ 3$ general points in $\mathbb {P} _\mathbb {C}^ d $
there exists a unique rational normal curve of degree $ d $ passing through them. We …
there exists a unique rational normal curve of degree $ d $ passing through them. We …
Normal bundles of rational curves in Grassmannians
In projective space over fields of characteristic different from 2, the normal bundle of a
general nondegenerate rational curve is balanced. The corresponding statement for rational …
general nondegenerate rational curve is balanced. The corresponding statement for rational …
On The Cohomology of in Positive Characteristic
E Larson - arXiv preprint arXiv:2308.13756, 2023 - arxiv.org
Let $ C\subset\mathbb {P}^ 3$ be a general Brill--Noether curve. A classical problem is to
determine when $ H^ 0 (N_C (-2))= 0$, which controls the quadric section of $ C $. So far …
determine when $ H^ 0 (N_C (-2))= 0$, which controls the quadric section of $ C $. So far …
The normal bundle of a general canonical curve of genus at least 7 is semistable
The normal bundle of a general canonical curve of genus at least 7 is semistable Page 1 ©
2024 European Mathematical Society Published by EMS Press J. Eur. Math. Soc. (Online first) …
2024 European Mathematical Society Published by EMS Press J. Eur. Math. Soc. (Online first) …
Slope semistability of Veronese normal bundles
R Shang - arXiv preprint arXiv:2411.16664, 2024 - arxiv.org
A classical fact is that normal bundles of rational normal curves are well-balanced. We
generalize this by proving that all Veronese normal bundles are slope semistable. We also …
generalize this by proving that all Veronese normal bundles are slope semistable. We also …
The embedding theorem in Hurwitz-Brill-Noether Theory
K Cook-Powell, D Jensen, E Larson, H Larson… - arXiv preprint arXiv …, 2023 - arxiv.org
We generalize the Embedding Theorem of Eisenbud-Harris from classical Brill-Noether
theory to the setting of Hurwitz-Brill-Noether theory. More precisely, in classical Brill-Noether …
theory to the setting of Hurwitz-Brill-Noether theory. More precisely, in classical Brill-Noether …
The Syzygy Matrix and the Differential for Rational Curves in Projective Space
C Song - arXiv preprint arXiv:2409.03985, 2024 - arxiv.org
In this paper, we study whether a given morphism $ f $ from the tangent bundle of $\mathbb
{P}^ 1$ to a balanced vector bundle of degree $(n+ 1) d $ is induced by the restriction of the …
{P}^ 1$ to a balanced vector bundle of degree $(n+ 1) d $ is induced by the restriction of the …