9 citations · 33 across the 13 of their papers we have counts for
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The embedding theorem in Hurwitz-Brill-Noether Theory
Kaelin Cook-Powell, David Jensen, Eric Larson +2
We generalize the Embedding Theorem of Eisenbud-Harris from classical Brill-Noether theory to the setting of Hurwitz-Brill-Noether theory. More precisely, in classical Brill-Noethe…
Quadratic enrichment of the logarithmic derivative of the zeta function
Margaret Bilu, Wei Ho, Padmavathi Srinivasan +2
We define an enrichment of the logarithmic derivative of the zeta function of a variety over a finite field to a power series with coefficients in the Grothendieck--Witt group. We…
Stability of Tschirnhausen Bundles
Izzet Coskun, Eric Larson, Isabel Vogt
Let be a general degree primitive map of nonsingular, irreducible, projective curves over an algebraically closed field of characteristic zero or larger than .…
Curve classes on conic bundle threefolds and applications to rationality
Sarah Frei, Lena Ji, Soumya Sankar +2
We undertake a study of conic bundle threefolds over geometrically rational surfaces whose associated discriminant covers are smooth and geo…
The normal bundle of a general canonical curve of genus at least 7 is semistable
Izzet Coskun, Eric Larson, Isabel Vogt
Let be a general canonical curve of genus defined over an algebraically closed field of arbitrary characteristic. We prove that if , then the normal bundl…
Interpolation for Brill--Noether curves
Eric Larson, Isabel Vogt
In this paper we determine the number of general points through which a Brill--Noether curve of fixed degree and genus in any projective space can be passed.
Global Brill--Noether Theory over the Hurwitz Space
Eric Larson, Hannah Larson, Isabel Vogt
Let be a curve of genus . A fundamental problem in the theory of algebraic curves is to understand maps of specified degree . When is general, th…
Stability of Normal Bundles of Space Curves
Izzet Coskun, Eric Larson, Isabel Vogt
In this paper, we prove that the normal bundle of a general Brill-Noether space curve of degree and genus is stable if and only if …
An enriched count of the bitangents to a smooth plane quartic curve
Hannah Larson, Isabel Vogt
Recent work of Kass--Wickelgren gives an enriched count of the lines on a smooth cubic surface over arbitrary fields. Their approach using -enumerative geometry…
Interpolation for Brill-Noether curves in
Eric Larson, Isabel Vogt
In this paper, we compute the number of general points through which a general Brill-Noether curve in passes. We also prove an analogous theorem when some points are…
Abelian varieties isogenous to a power of an elliptic curve over a Galois extension
Isabel Vogt
Given an elliptic curve and a Galois extension , we construct an exact functor from torsion-free modules over the endomorphism ring with a semilinea…
Elliptic fibrations on covers of the elliptic modular surface of level 5
Francesca Balestrieri, Julie Desjardins, Alice Garbagnati +3
We consider the K3 surfaces that arise as double covers of the elliptic modular surface of level 5, . Such surfaces have a natural elliptic fibration induced by the fibrat…
Interpolation for Brill-Noether space curves
Isabel Vogt
In this note we compute the number of general points through which a general Brill-Noether space curve passes.