Uniform boundedness of \(p\)-primary torsion of abelian schemes

DOI10.1007/s00222-011-0343-6zbMath1294.14011OpenAlexW1986080041MaRDI QIDQ421017

Anna Cadoret, Akio Tamagawa

Publication date: 23 May 2012

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-011-0343-6

zbMATH Keywords

torsionabelian schememodular tower

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Abelian varieties of dimension (> 1) (11G10) Coverings of curves, fundamental group (14H30) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Fine and coarse moduli spaces (14D22)

Related Items (16)

Quasi-compactness of Néron models, and an application to torsion points ⋮ Density of rational points on a family of del Pezzo surfaces of degree one (with an appendix by Jean-Louis Colliot-Thélène) ⋮ A uniform open image theorem for \(\ell\)-adic representations. II ⋮ Torsion sections of Abelian fibrations ⋮ Frobenius finds non-monogenic division fields of abelian varieties ⋮ Trivial points on towers of curves ⋮ A Hilbert irreducibility theorem for Enriques surfaces ⋮ Controlling the Galois images in one-dimensional families of \(\ell\)-adic representations ⋮ Algebraic geometry: moduli spaces, birational geometry and derived aspects. Abstracts from the workshop held July 10--16, 2022 ⋮ On a weak variant of the geometric torsion conjecture ⋮ Gonality of abstract modular curves in positive characteristic ⋮ Level structures on abelian varieties, Kodaira dimensions, and Lang's conjecture ⋮ Genus of abstract modular curves with level-\(\ell\) structures ⋮ A uniform open image theorem for \(\ell\)-adic representations. I ⋮ Abelian constraints in inverse Galois theory ⋮ On the profinite regular inverse Galois problem

Cites Work

• Stratification of Hurwitz spaces by closed modular subvarieties
• On the profinite regular inverse Galois problem
• Quelques applications du théorème de densité de Chebotarev
• Modular curves and the Eisenstein ideal
• On fields of moduli of curves
• Bounds for the torsion of elliptic curves over number fields
• Chow's \(K/k\)-image and \(K/k\)-trace, and the Lang-Néron theorem
• Uniform boundedness of level structures on abelian varieties over complex function fields
• Complements à un article de Hans Grauert sur la conjecture de Mordell
• Un théorème sur les homomorphismes de schemas abeliens
• The irreducibility of the space of curves of a given genus
• Rational Points of Abelian Varieties Over Function Fields
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