We study local-global principles for two notions of semi-integral points, termed Campana
points and Darmon points. In particular, we develop a semi-integral version of the Brauer …

Quadratic points on intersections of two quadrics Page 1 Algebra & Number Theory msp
Volume 17 2023 No. 8 Quadratic points on intersections of two quadrics Brendan Creutz …

We report on our investigations concerning algebraic and transcendental Brauer–Manin
obstructions to integral points on complements of a hyperplane section in degree four del …

Rational points on Del Pezzo surfaces of degree four Page 1 International Journal of Number
Theory Vol. 18, No. 9 (2022) 2099–2127 © World Scientific Publishing Company DOI …

How often does the Hasse principle hold Page 106 Proceedings of Symposia in Pure
Mathematics Volume 97.2 , 2018 http://dx. doi. org/10.1090/pspum/097.2/01700 How often …

We construct algebraic geometric codes from del Pezzo surfaces and focus on the ones
having Picard rank $1 $ and the codes associated to the anticanonical class. We give …

We show that, over every number field, the degree four del Pezzo surfaces that violate the
Hasse principle are Zariski dense in the moduli scheme. Résumé.— Nous montrons que …

There are these two young fish swimming along and they happen to meet an older fish
swimming the other way, who nods at them and says “Morning, boys. How's the water?” And …

We give an asymptotic expansion for the density of del Pezzo surfaces of degree four in a
certain Birch Swinnerton-Dyer family violating the Hasse principle due to a Brauer–Manin …

The goal of these lectures is to serve as a “user's guide” to obstructions to the existence of k-
points on smooth projective varieties, where k is a global field. As such, the focus will be on …