Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Schindler, Damaris"'
Autor:
Friedlander, Holley, Fuchs, Elena, Harris, Piper, Hsu, Catherine, Rickards, James, Sanden, Katherine, Schindler, Damaris, Stange, Katherine E.
Inspired by a question of Sarnak, we introduce the notion of a prime component in an Apollonian circle packing: a maximal tangency-connected subset having all prime curvatures. We also consider thickened prime components, which are augmented by all c
Externí odkaz:
http://arxiv.org/abs/2410.00177
We derive asymptotic formulas for the number of rational points on a smooth projective quadratic hypersurface of dimension at least three inside of a shrinking adelic open neighbourhood. This is a quantitative version of weak approximation for quadri
Externí odkaz:
http://arxiv.org/abs/2405.05592
Autor:
Pieropan, Marta, Schindler, Damaris
We combine the split torsor method and the hyperbola method for toric varieties to count rational points and Campana points of bounded height on certain subvarieties of toric varieties.
Comment: 23 pages; minor revision
Comment: 23 pages; minor revision
Externí odkaz:
http://arxiv.org/abs/2403.19397
Let $\mathcal{M}\subset \mathbb{R}^n$ be a compact and sufficiently smooth manifold of dimension $d$. Suppose $\mathcal{M}$ is nowhere completely flat. Let $N_{\mathcal{M}}(\delta,Q)$ denote the number of rational vectors $\mathbf{a}/q$ within a dist
Externí odkaz:
http://arxiv.org/abs/2310.03867
We introduce a new class of generalised quadratic forms over totally real number fields, which is rich enough to capture the arithmetic of arbitrary systems of quadrics over the rational numbers. We explore this connection through a version of the Ha
Externí odkaz:
http://arxiv.org/abs/2212.11038
Autor:
Pieropan, Marta, Schindler, Damaris
We develop a very general version of the hyperbola method which extends the known method by Blomer and Br\"udern for products of projective spaces to complete smooth split toric varieties. We use it to count Campana points of bounded log-anticanonica
Externí odkaz:
http://arxiv.org/abs/2001.09815
In this paper we generalize the result of Fouvry and Iwaniec dealing with prime values of the quadratic form $x^2 + y^2$ with one input restricted to a thin subset of the integers. We prove the same result with an arbitrary primitive positive definit
Externí odkaz:
http://arxiv.org/abs/1809.10755
Autor:
Jahnel, Jörg, Schindler, Damaris
Given systems of two (inhomogeneous) quadratic equations in four variables, it is known that the Hasse principle for integral points may fail. Sometimes this failure can be explained by some integral Brauer-Manin obstruction. We study the existence o
Externí odkaz:
http://arxiv.org/abs/1801.09976
Autor:
Schindler, Damaris
Let k\geq 2 and consider the Diophantine inequality |x_1^k-\alp_2 x_2^k-\alp_3 x_3^k| <\tet. Our goal is to find non-trivial solutions in the variables x_i, 1\leq i\leq 3, all of size about P, assuming that \tet is sufficiently large. We study this p
Externí odkaz:
http://arxiv.org/abs/1801.03735
Autor:
Jahnel, Jörg, Schindler, Damaris
We study the algebraic Brauer classes on open del Pezzo surfaces of degree $4$. I.e., on the complements of geometrically irreducible hyperplane sections of del Pezzo surfaces of degree $4$. We show that the $2$-torsion part is generated by classes o
Externí odkaz:
http://arxiv.org/abs/1712.04745