Nathan Pflueger

activity

20112026

most citedBrill-Noether varieties of k-gonal curves

27 citations · 139 across the 22 of their papers we have counts for

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Showing 2016Show all

4 papers · 1 filter

math.AG2016★ 3 cited

Weierstrass semigroups on Castelnuovo curves

Nathan Pflueger

We define a class of numerical semigroups S, which we call Castelnuovo semigroups, and study the subvariety $M_{g, 1}^{S}$ of $M_{g, 1}$ consisting of marked smooth curves with Weierst…

math.AG2016★ 5 cited

On non-primitive Weierstrass points

Nathan Pflueger

We give an upper bound on the codimension in $M_{g, 1}$ of the variety $M_{g, 1}^{S}$ of marked curves $(C, p)$ with a given Weierstrass semigroup. The bound is a combinatorial quantity…

math.AG2016★ 27 cited

Brill-Noether varieties of k-gonal curves

Nathan Pflueger

We consider a general curve of fixed gonality k and genus g. We propose an estimate for the dimension of the variety $W_{d}^{r} (C)$ of special linear series on C, by solving an analogo…

math.CO2016★ 23 cited

Special divisors on marked chains of cycles

Nathan Pflueger

We completely describe all Brill-Noether loci on metric graphs consisting of a chain of g cycles with arbitrary edge lengths, generalizing work of Cools, Draisma, Payne, and Robeva…