Smoothing of linear linear series of rank one on metrized complexes of complex curves

Ye Luo (Rice)

Eisenbud and Harris developed a theory of degeneration of linear series to certain reducible curves (i.e., curves of compact type) called limit linear series. Recently, in their work on metrized complexes of algebraic curves, Amini and Baker generalized the notion of limit linear series on these objects. In this work, I will talk about a systematic approach on verifying whether a limit linear series of rank one on a metrized complex is smoothable (i.e., degenerated from a g^1_d on a smooth curve). This is a joint work with Madhusudan Manjunath.

Tuesday, September 2nd, at 4:00pm in HBH 227

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