Mass formula and Oort's conjecture for supersingular abelian threefolds
DOI10.1016/j.aim.2021.107812zbMath1487.14062arXiv2002.10960OpenAlexW3008870840WikidataQ113881027 ScholiaQ113881027MaRDI QIDQ2039566
Fuetaro Yobuko, Valentijn Karemaker, Chia-Fu Yu
Publication date: 5 July 2021
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.10960
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Abelian varieties of dimension (> 1) (11G10) Families, moduli, classification: algebraic theory (14J10) Modular and Shimura varieties (14G35) Isogeny (14K02) Arithmetic ground fields for abelian varieties (14K15) Adèle rings and groups (11R56) Formal groups, (p)-divisible groups (14L05) Positive characteristic ground fields in algebraic geometry (14G17)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Class numbers of positive definite ternary quaternion Hermitian forms
- Principal polarizations of supersingular abelian surfaces
- The supersingular loci and mass formulas on Siegel modular varieties
- Arithmétique des algèbres de quaternions
- Moduli of supersingular abelian varieties
- Which abelian surfaces are products of elliptic curves?
- On counting certain abelian varieties over finite fields
- On finiteness of endomorphism rings of Abel varieties
- Die Typen der Multiplikatorenringe elliptischer Funktionenkörper
- Mass formula for supersingular abelian surfaces
- CLASS NUMBER OF A DEFINITE QUATERNION WITH PRIM DISCRIMINANT
- Simple mass formulas on Shimura varieties of PEL-type
- Ekedahl-Oort strata contained in the supersingular locus and Deligne-Lusztig varieties
- On supersingular curves and Abelian varieties.
- On the supersingular locus in Hilbert-Blumenthal $4$-folds
- Foliations in moduli spaces of abelian varieties
- On fields of definition of components of the Siegel supersingular locus
- Period Spaces for "p"-divisible Groups (AM-141)
- On the mass formula of supersingular abelian varieties with real multiplications
- Open problems in algebraic geometry
This page was built for publication: Mass formula and Oort's conjecture for supersingular abelian threefolds