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4 papers
Geometric Koszul complexes, syzygies of K3 surfaces and the Tango bundle
Juergen Rathmann
A key result for syzygies of curves is Voisin's proof of Green's conjecture for the canonical embedding of a general curve of any genus. Her primary tools were the Lazarsfeld Mukai…
A Remark on Lazarsfeld's Approach to Castelnuovo-Mumford Regularity
Juergen Rathmann
We derive new bounds for the Castelnuovo-Mumford regularity of the ideal sheaf of a complex projective manifold of any dimension. They depend linearly on the coefficients of the Hi…
An effective bound for the gonality conjecture
Juergen Rathmann
Ein and Lazarsfeld have shown that one can read off the gonality of an algebraic curve from its syzygies in the embedding defined by any one line bundle of sufficiently large degre…
An infinitesimal approach to a conjecture of Eisenbud and Harris
Juergen Rathmann
Eisenbud and Harris conjectured in 1982 that an algebraic curve of high genus lies on a surface of low degree (which they proved for curves of very large degree). They observed con…