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In M. Aprodu, G. Farkas - Koszul Cohomology and Applications to Moduli, arXiv:0811.3117 [math.AG], proof of Theorem(s) 4.5 (and 4.12), the authors constructed a semistable nodal curve $C^{\prime}$ of genus $2g-2d+3$ with $\delta=g-2d+3$ nodes starting from a smooth curve $C$ of genus $g$ and gona...
In mathematics, the Koszul cohomology groups
K
p
,
q
(
X
,
L
)
{\displaystyle K_{p,q}(X,L)}
are groups associated to a projective variety X with a line bundle L. They were introduced by Mark Green (1984, 1984b), and named after Jean-Louis Koszul as they are closely related to the Koszul complex.
Green (1989) surveys early work on Koszul cohomology, Eisenbud (2005) gives an introduction to Koszul cohomology, and Aprodu & Nagel (2010) gives...
