1 citations · 2 across the 5 of their papers we have counts for
6 papers
Counting quadratic points on Fano varieties
Francesca Balestrieri, Kevin Destagnol, Julian Lyczak +2
This paper initiates the systematic study of the number of points of bounded height on symmetric squares of weak Fano varieties. We provide a general framework for establishing the…
Local solubility in generalised Châtelet varieties
Kevin Destagnol, Julian Lyczak, Efthymios Sofos
We obtain asymptotic formulas for averages of general multivariate arithmetic functions evaluated at polynomial arguments using recent work of Rydin Myerson and Rome-Yamagishi. We…
Averages of arithmetic functions over polynomials in many variables
Kevin Destagnol, Efthymios Sofos
We estimate the average of any arithmetic function over the values of any smooth polynomial in many variables provided only that has a distribution in arithmetic progressio…
The power-saving Manin-Peyre's conjectures for a senary cubic
Sandro Bettin, Kevin Destagnol
Using recent work of the first author~\cite{Bet}, we prove a strong version of the Manin-Peyre's conjectures with a full asymptotic and a power-saving error term for the two variet…
Rational points and prime values of polynomials in moderately many variables
Kevin Destagnol, Efthymios Sofos
We derive the Hasse principle and weak approximation for pencils of certain varieties in the spirit of work by Colliot-Thélène,Sansuc and Harpaz-Skorobogatov-Wittenberg. Our variet…
On a certain non-split cubic surface
Régis de la Bretèche, Kevin Destagnol, Jianya Liu +2
In this note, we establish an asymptotic formula for the number of rational points of bounded height on the singular cubic surface with a power-savin…