The Geometric Syzygy Conjecture holds for general canonical curves over algebraically closed fields of characteristic at least 2g-4.
Nodal Curves on K3 Surfaces
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
In this paper, we study the Severi variety $V_{L,g}$ of genus $g$ curves in $|L|$ on a general polarized K3 surface $(X,L)$. We show that the closure of every component of $V_{L,g}$ contains a component of $V_{L,g-1}$. As a consequence, we see that the general members of every component of $V_{L,g}$ are nodal.
fields
math.AG 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
The Geometric Syzygy Conjecture in Positive Characteristic
The Geometric Syzygy Conjecture holds for general canonical curves over algebraically closed fields of characteristic at least 2g-4.