Simple mass formulas on Shimura varieties of PEL-type

DOI10.1515/FORUM.2010.030zbMath1257.11059arXivmath/0603451OpenAlexW1982427369MaRDI QIDQ3566432

Chia-Fu Yu

Publication date: 8 June 2010

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603451

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Class numbers of quadratic and Hermitian forms (11E41)

Related Items

CLASS NUMBERS OF CM ALGEBRAIC TORI, CM ABELIAN VARIETIES AND COMPONENTS OF UNITARY SHIMURA VARIETIES ⋮ Mass formula for supersingular abelian surfaces ⋮ Mass formula of division algebras over global function fields ⋮ On the superspecial loci of orthogonal type Shimura varieties ⋮ Superspecial abelian varieties over finite prime fields ⋮ Abelian varieties over finite fields as basic abelian varieties ⋮ On counting certain abelian varieties over finite fields ⋮ Mass formula and Oort's conjecture for supersingular abelian threefolds ⋮ On arithmetic of the superspecial locus ⋮ Irreducibility of Newton strata in 𝐺𝑈(1,𝑛-1) Shimura varieties ⋮ Newton polygons arising from special families of cyclic covers of the projective line ⋮ On reduction of moduli schemes of abelian varieties with definite quaternion multiplications

Cites Work

• Finiteness theorems for abelian varieties over number fields.
• Homomorphisms of Barsotti-Tate groups and crystals in positive characteristic. -- Erratum
• Minimal \(p\)-divisible groups
• Points on Some Shimura Varieties Over Finite Fields
• ISOGENIES OF ABELIAN VARIETIES OVER FIELDS OF FINITE CHARACTERISTIC
• Foliations in moduli spaces of abelian varieties
• On the mass formula of supersingular abelian varieties with real multiplications