From the 1 of 6 linked papers with an AI index.
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Splitting Brauer classes by genus one curves over number fields
Benjamin Antieau, Asher Auel, Federico Scavia
The authors show that every Brauer class over a number field can be split by a genus‑one curve by proving that any Severi‑Brauer variety of dimension ≥2 contains a twisted elliptic…
Noether-Lefschetz general complete intersection K3 surfaces over the rationals
Asher Auel, Henry Scheible
We prove that the locus of Noether-Lefschetz general polarized K3 surfaces of degree at most 8 defined over the rational numbers is Zariski dense in the moduli space. Previously, t…
Symmetric star transforms and the algebraic geometry of their dual differential operators
Gaik Ambartsoumian, Asher Auel, Mohammad Javad Latifi Jebelli
The star transform is a generalized Radon transform mapping a function on to the function whose value at a point is the integral along a union of rays emanating from…
Zeta functions of K3 categories over finite fields
Asher Auel, Jack Petok
We define the zeta function of a noncommutative K3 surface over a finite field, an invariant under Fourier-Mukai equivalence that can be used to define point counts in this noncomm…
Distinguishing Brill-Noether loci
Asher Auel, Richard Haburcak, Andreas Leopold Knutsen
We construct curves carrying certain special linear series and not others, showing many non-containments between Brill-Noether loci in the moduli space of curves. In particular, we…
Maximal Brill--Noether loci via the gonality stratification
Asher Auel, Richard Haburcak, Hannah Larson
We study the restriction of Brill-Noether loci to the gonality stratification of the moduli space of curves of fixed genus. As an application, we give new proofs that Brill-Noether…