Resumen de Weak approximation on del Pezzo surfaces of degree 1

Anthony Várilly Alvarado

• We study del Pezzo surfaces of degree 1 of the form w2=z3+Ax6+By6in the weighted projective space , where k is a perfect field of characteristic not 2 or 3 and A,Bk*. Over a number field, we exhibit an infinite family of (minimal) counterexamples to weak approximation amongst these surfaces, via a Brauer�Manin obstruction.