The \(p\)-rank strata of the moduli space of hyperelliptic curves

DOI10.1016/j.aim.2011.04.004zbMath1219.14033arXiv0902.4637OpenAlexW2951545000MaRDI QIDQ549213

Jeffrey D. Achter, Rachel J. Pries

Publication date: 7 July 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.4637

zbMATH Keywords

Jacobianmonodromy\(p\)-rankhyperellipticmoduli

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Curves over finite and local fields (11G20)

Related Items (6)

THE BOUNDARY OF THE p-RANK STRATUM OF THE MODULI SPACE OF CYCLIC COVERS OF THE PROJECTIVE LINE ⋮ Erratum to: Hyperelliptic curves with prescribed \(p\)-torsion ⋮ On topological and combinatorial structures of pointed stable curves over algebraically closed fields of positive characteristic ⋮ The \(p\)-rank stratification of Artin-Schreier curves ⋮ THE DISTRIBUTION OF TORSION SUBSCHEMES OF ABELIAN VARIETIES ⋮ Newton polygons arising from special families of cyclic covers of the projective line

Cites Work

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• The integral monodromy of hyperelliptic and trielliptic curves
• Intersection theory on algebraic stacks and on their moduli spaces
• Curves of given \(p\)-rank with trivial automorphism group
• \(L\)-functions of exponential sums on curves over rings
• A note on the existence of absolutely simple Jacobians
• Abelian varieties, \(\ell\)-adic representations, and \(\ell\)-independence
• Big symplectic or orthogonal monodromy modulo \(\ell\)
• Monodromy of Hecke-invariant subvarieties
• Hyperelliptic curves with prescribed \(p\)-torsion
• A note of Shimura's paper: Discontinuous groups and Abelian varieties
• The irreducibility of the space of curves of a given genus
• Lectures on \(p\)-divisible groups
• Subvarieties of moduli spaces
• Cornalba-Harris equality for semistable hyperelliptic curves in positive characteristics
• The distribution of class groups of function fields
• The projectivity of the moduli space of stable curves, II: The stacks $M_{g,n}$
• The large sieve, monodromy and zeta functions of curves
• Monodromy of the p-Rank Strata of the Moduli Space of Curves
• Irreducibility of the Hilbert-Blumenthal moduli spaces with parahoric level structure
• Divisor classes associated to families of stable varieties, with applications to the moduli space of curves
• Ordinariness in good reductions of shimura varieties of PEL-type
• Néron Models
• Geometric Invariant Theory
• FUNDAMENTAL GROUPS OF ALGEBRAIC STACKS
• Complete subvarieties of moduli spaces and the Prym map
• Boundary behaviour of Hurwitz schemes
• Cycle Classes of the E-O Stratification on the Moduli of Abelian Varieties
• Abelian varieties with ℓ-adic Galois representation of Mumford's type

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