Publications [#384257] of Stefano Filipazzi

Papers Published

1. Bernasconi, F; Filipazzi, S, Rational points on 3-folds with nef anti-canonical class over finite fields, Proceedings of the London Mathematical Society, vol. 130 no. 1 (January, 2025) [doi]
   (last updated on 2026/01/18)

   Abstract:
   We prove that a geometrically integral smooth projective 3-fold (Formula presented.) with nef anti-canonical class and negative Kodaira dimension over a finite field (Formula presented.) of characteristic (Formula presented.) and cardinality (Formula presented.) has a rational point. Additionally, under the same assumptions on (Formula presented.) and (Formula presented.), we show that a smooth projective 3-fold (Formula presented.) with trivial canonical class and non-zero first Betti number (Formula presented.) has a rational point. Our techniques rely on the Minimal Model Program to establish several structure results for generalized log Calabi–Yau 3-fold pairs over perfect fields.