Isogeny classes of abelian varieties over finite fields in the LMFDB

DOI10.1007/978-3-030-80914-0_13MaRDI QIDQ6603869

Taylor Dupuy, David Roe, Kiran S. Kedlaya, Christelle Vincent

Publication date: 12 September 2024

Mathematics Subject Classification ID

Arithmetic algebraic geometry (Diophantine geometry) (11Gxx) Computational number theory (11Yxx)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• The \(p\)-rank strata of the moduli space of hyperelliptic curves
• Monodromy and irreducibility of leaves
• The characteristic polynomials of Abelian varieties of dimensions 3 over finite fields
• \(K3\) surfaces over finite fields with given \(L\)-function
• A counterexample to `Algebraic function fields with small class number'
• Principally polarizable isogeny classes of Abelian surfaces over finite fields
• Hypersymmetric Abelian varieties
• Algebraic function fields with small class number
• Conjugate algebraic units in a special interval
• On the \(p\)-rank of an abelian variety and its endomorphism algebra
• Real polynomials with all roots on the unit circle and abelian varieties over finite fields
• The Magma algebra system. I: The user language
• Moduli of supersingular abelian varieties
• Some non-special cubic fourfolds
• Fully maximal and fully minimal abelian varieties
• Type numbers of quaternion Hermitian forms and supersingular abelian varieties
• Categories of abelian varieties over finite fields. I: Abelian varieties over \(\mathbb F_p\)
• Irreducible polynomials of bounded height
• Estimates for the number of rational points on simple abelian varieties over finite fields
• Eigenvalues of Frobenius endomorphisms of abelian varieties of low dimension
• Some consequences of the Riemann hypothesis for varieties over finite fields
• On the distribution of the number of points on algebraic curves in extensions of finite fields
• Newton polygons arising from special families of cyclic covers of the projective line
• Computing abelian varieties over finite fields isogenous to a power
• Classification of algebraic function fields with class number one
• Function fields of class number one
• Superspecial curves of genus 4 in small characteristic
• Unconditional construction of \(K3\) surfaces over finite fields with given \(L\)-function in large characteristic
• Cyclic resultants
• Finiteness of rigid cohomology with coefficients
• Quantum computation of zeta functions of curves
• Endomorphisms of Abelian varieties over finite fields
• Intervals containing infinitely many sets of conjugate algebraic units
• Variétés abeliennes ordinaires sur un corps fini
• Isogeny classes of abelian varieties over finite fields
• Die Seltenheit der reduziblen Gleichungen und der Gleichungen mit Affekt.
• An algebraic construction of an abelian variety with a given Weil number
• Derived equivalent surfaces and abelian varieties, and their zeta functions
• A census of zeta functions of quartic K surfaces over
• On a Discriminant Inequality
• Almost ordinary abelian varieties over finite fields
• The Structure of Galois Groups of CM-Fields
• On supersingular curves and Abelian varieties.
• ℓ-Adic and λ-Adic Representations Associated to Abelian Varieties Defined Over Number Fields
• On the Eigenvalues of Random Matrices
• On the Existence of Supersingular Curves of Given Genus
• The Maximum Number of Points on a Curve of Genus 4 over is 25
• UNLIKELY INTERSECTIONS IN FINITE CHARACTERISTIC
• On fields of definition of components of the Siegel supersingular locus
• Rigorous computation of the endomorphism ring of a Jacobian
• Purity of the stratification by Newton polygons
• On the Distribution of Galois Groups, II
• Principally Polarized Ordinary Abelian Varieties Over Finite Fields
• Kernels of polarizations of abelian varieties over finite fields
• New methods for bounding the number of points on curves over finite fields
• Abelian Surfaces over Finite Fields as Jacobians
• On a conjecture of R.M. Robinson about sums of roots of unity.
• On the maximum modulus of cyclotomic integers
• On the number of points on Abelian and Jacobian varieties over finite fields
• On the distribution of Galois groups
• Zeta functions of nondegenerate hypersurfaces in toric varieties via controlled reduction in \(p\)-adic cohomology

This page was built for publication: Isogeny classes of abelian varieties over finite fields in the LMFDB

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6603869)