3 citations · 8 across the 10 of their papers we have counts for
11 papers
Refined obstructions to local-global principles for 0-cycles
Francesca Balestrieri, Anouk Greven, Rachel Newton +3
We introduce new `refined' obstructions to local-global principles for 0-cycles on algebraic varieties over number fields. Assuming finiteness of relevant Tate--Shafarevich groups,…
The integral Hasse principle for stacky curves associated to a family of generalized Fermat equations
Juanita Duque-Rosero, Christopher Keyes, Andrew Kobin +3
We characterize the integral Hasse principle for an infinite family of spherical stacky curves with genus that are defined using generalized Fermat equations, extend…
Conic bundle threefolds differing by a constant Brauer class and connections to rationality
Sarah Frei, Lena Ji, Soumya Sankar +2
A double cover of ramified over a general -divisor will have the structure of a geometrically standard conic bundle ramified over a sm…
On rational points on classifying stacks and Malle's conjecture
Shabnam Akhtari, Jennifer Park, Marta Pieropan +1
In this expository article, we compare Malle's conjecture on counting number fields of bounded discriminant with recent conjectures of Ellenberg--Satriano--Zureick-Brown and Darda-…
Frobenius distributions of low dimensional abelian varieties over finite fields
Santiago Arango-Piñeros, Deewang Bhamidipati, Soumya Sankar
Given a -dimensional abelian variety over a finite field , the Weil conjectures imply that the normalized Frobenius eigenvalues generate a multiplicative group…
Existence of global and explosive mild solutions of fractional reaction-diffusion system of semilinear SPDEs with fractional noise
S. Sankar, Manil T. Mohan, S. Karthikeyan
In this paper, we investigate the existence and finite-time blow-up for the solution of a reaction-diffusion system of semilinear stochastic partial differential equations (SPDEs)…
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…
Lower and upper bounds for the explosion times of a system of semilinear SPDEs
S. Sankar, Manil T. Mohan, S. Karthikeyan
In this paper, we obtain lower and upper bounds for the blow-up times to a system of semilinear stochastic partial differential equations. Under suitable assumptions, lower and upp…
Derived equivalences of gerbey curves
Soumya Sankar, Libby Taylor
We study derived equivalences of certain stacks over genus curves, which arise as connected components of the Picard stack of a genus curve. To this end, we develop a theor…
Counting elliptic curves with a rational -isogeny for small
Brandon Boggess, Soumya Sankar
We count the number of rational elliptic curves of bounded naive height that have a rational -isogeny, for . For some , this is done by gene…
Proportion of ordinarity in some families of curves over finite fields
Soumya Sankar
A curve over a field of characteristic is called ordinary if the -torsion of its Jacobian as large as possible, that is, an vector space of dimension equal to…