8 citations · 31 across the 16 of their papers we have counts for
18 papers
Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers I
Andrew Obus, Padmavathi Srinivasan, Connor Stewart
We prove conductor-discriminant inequalities for all -covers of defined over discretely valued fields with excellent valuation ring …
Covers of curves, Ceresa cycles, and Unlikely intersections
Tejasi Bhatnagar, Sheela Devadas, Toren D'Nelly-Warady +1
Fix a smooth, projective, geometrically integral curve of genus over a characteristic zero field. We prove that the Ceresa cycle of a v…
Minimal regular normal crossings models of superelliptic curves
Andrew Obus, Padmavathi Srinivasan
Let be a complete discretely valued field with perfect residue field . If is a -cover with , we compute the mini…
Curve equations from expansions of 1-forms at a nonrational point
Raymond van Bommel, Edgar Costa, Bjorn Poonen +1
We exhibit an algorithm to compute equations of an algebraic curve over a computable characteristic 0 field from the power series expansions of its regular 1-forms at a nonrational…
Certifying nontriviality of Ceresa classes of curves
Jordan Ellenberg, Adam Logan, Padmavathi Srinivasan
The Ceresa cycle is a canonical algebraic -cycle on the Jacobian of an algebraic curve. We construct an algorithm which, given a curve over a number field, often provides a cert…
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…
p-adic adelic metrics and Quadratic Chabauty I
Amnon Besser, J. Steffen Müller, Padmavathi Srinivasan
We give a new construction of -adic heights on varieties over number fields using -adic Arakelov theory. In analogy with Zhang's construction of real-valued heights in terms…
Finiteness of reductions of Hecke orbits
Mark Kisin, Yeuk Hay Joshua Lam, Ananth N. Shankar +1
We prove two finiteness results for reductions of Hecke orbits of abelian varieties over local fields: one in the case of supersingular reduction and one in the case of reductive m…
Explicit minimal embedded resolutions of divisors on models of the projective line
Andrew Obus, Padmavathi Srinivasan
Let be a discretely valued field with ring of integers with perfect residue field. Let be the rational function field in one variable. Let $\mathbb{P}^1_…
Surface bundles and the section conjecture
Wanlin Li, Daniel Litt, Nick Salter +1
We formulate a tropical analogue of Grothendieck's section conjecture: that for every stable graph G of genus g>2, and every field k, the generic curve with reduction type G over k…
Group-theoretic Johnson classes and a non-hyperelliptic curve with torsion Ceresa class
Dean Bisogno, Wanlin Li, Daniel Litt +1
Let l be a prime and G a pro-l group with torsion-free abelianization. We produce group-theoretic analogues of the Johnson/Morita cocycle for G -- in the case of surface groups, th…
Conductors and minimal discriminants of hyperelliptic curves: A comparison in the tame case
Padmavathi Srinivasan
Let be a hyperelliptic curve of genus over the fraction field of a discrete valuation ring . Assume that the residue field of is perfect and that $\mathrm{ch…
Conductor-discriminant inequality for hyperelliptic curves in odd residue characteristic
Andrew Obus, Padmavathi Srinivasan
We prove an inequality between the conductor and the discriminant for all hyperelliptic curves defined over discretely valued fields with perfect residue field of characteristi…
A virtually ample field that is not ample
Padmavathi Srinivasan
A field is called ample if for every geometrically integral -variety with a smooth -point, is Zariski-dense in . A field is virtually ample if some fini…
An arithmetic count of the lines meeting four lines in P^3
Padmavathi Srinivasan, Kirsten Wickelgren
We enrich the classical count that there are two complex lines meeting four lines in space to an equality of isomorphism classes of bilinear forms. For any field , this enrichme…
Conductors and minimal discriminants of hyperelliptic curves with rational Weierstrass points
Padmavathi Srinivasan
Let be a hyperelliptic curve of genus over the fraction field of a discrete valuation ring . Assume that the residue field of is perfect and that $\mathop{\t…
Zeta functions of a class of Artin-Schreier curves with many automorphisms
Irene Bouw, Wei Ho, Beth Malmskog +3
This paper describes a class of Artin-Schreier curves, generalizing results of Van der Geer and Van der Vlugt to odd characteristic. The automorphism group of these curves contains…