9 citations · 33 across the 13 of their papers we have counts for
20 papers
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…
Computing nonsurjective primes associated to Galois representations of genus curves
Barinder S. Banwait, Armand Brumer, Hyun Jong Kim +4
For a genus curve over whose Jacobian admits only trivial geometric endomorphisms, Serre's open image theorem for abelian surfaces asserts that there are o…
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…
Subspace configurations and low degree points on curves
Borys Kadets, Isabel Vogt
This paper is devoted to understanding curves over a number field that possess infinitely many solutions in extensions of of degree at most ; such solutions are the…
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.
A transcendental Brauer-Manin obstruction to weak approximation on a Calabi-Yau threefold
Sachi Hashimoto, Katrina Honigs, Alicia Lamarche +1
In this paper we investigate the -rational points of a class of simply connected Calabi-Yau threefolds, which were originally studied by Hosono and Takagi in the contex…
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…
Low degree points on curves
Geoffrey Smith, Isabel Vogt
In this paper we investigate an arithmetic analogue of the gonality of a smooth projective curve over a number field : the minimal such there are infinitely many points…
A Local-global principle for isogenies of composite degree
Isabel Vogt
Let be an elliptic curve over a number field . If for almost all primes of , the reduction of modulo that prime has rational cyclic isogeny of fixed degree, we can as…
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…
Constants in Titchmarsh divisor problems for elliptic curves
Renee Bell, Clifford Blakestad, Alina Carmen Cojocaru +5
Inspired by the analogy between the group of units of the finite field with elements and the group of points of an elliptic curve $E/\…
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.
Powers in Lucas Sequences via Galois Representations
Jesse Silliman, Isabel Vogt
Let be a nondegenerate Lucas sequence. We generalize the results of Bugeaud, Mignotte, and Siksek, 2006 to give a systematic approach towards the problem of determining all p…