On the Bertini regularity theorem for arithmetic varieties

DOI10.5802/jep.191zbMath1494.11054arXiv2002.11179OpenAlexW4220779334WikidataQ113689212 ScholiaQ113689212MaRDI QIDQ2127188

Yanyan Li

Publication date: 20 April 2022

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.11179

zbMATH Keywords

Arakelov geometryBertini theoremarithmetic ampleness

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Varieties over global fields (11G35) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Big line bundles over arithmetic varieties
• Théoremes de Bertini et applications
• On the number of lattice points in convex symmetric bodies and their duals
• Squarefree values of multivariable polynomials
• Arithmetic Hilbert-Samuel theorem
• Irreducibility of random polynomials of large degree
• Positive line bundles on arithmetic surfaces
• An arithmetic Riemann-Roch theorem
• Bertini theorems over finite fields
• Bertini irreducibility theorems over finite fields
• Positive Line Bundles on Arithmetic Varieties
• Arithmetic ampleness and an arithmetic Bertini theorem
• Number of Points of Varieties in Finite Fields
• Points entiers et théorèmes de Bertini arithmétiques. (Integral points and arithmetic Bertini theorems)

This page was built for publication: On the Bertini regularity theorem for arithmetic varieties