Some metric properties of arithmetic quotients o f symmetric spaces and an extension theorem

DOI10.4310/jdg/1214430642zbMath0249.32018OpenAlexW1578585811WikidataQ100165470 ScholiaQ100165470MaRDI QIDQ2556625

Armand Borel

Publication date: 1972

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214430642

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Discrete subgroups of Lie groups (22E40) Complex Lie groups, group actions on complex spaces (32M05) Picard-type theorems and generalizations for several complex variables (32H25)

Related Items

Geometry of compactifications of locally symmetric spaces, On polyhedral retracts and compactifications of locally symmetric spaces, Galois representations on the cohomology of hyper-Kähler varieties, Translates of rational points along expanding closed horocycles on the modular surface, The \(L^p\) spectrum of locally symmetric spaces with small fundamental group, Degenerations of Prym varieties and intersections of three quadrics, Logarithm laws for unipotent flows on hyperbolic manifolds, Rationality of the moduli spaces of Eisenstein 𝐾3 surfaces, On the rigidity of certain discrete groups and algebraic varieties, ON THE RESIDUE OF EISENSTEIN CLASSES OF SIEGEL VARIETIES, On the Singular Set of Harmonic Maps into DM-Complexes, Unnamed Item, The asymptotic Schottky problem, Bounded equidistribution of special subvarieties in mixed Shimura varieties, \(L^p\) spectral theory and heat dynamics of locally symmetric spaces, An exhaustion of locally symmetric spaces by compact submanifolds with corners, Moduli spaces of holomorphic mappings into hyperbolically imbedding complex spaces and locally symmetric spaces, A canonical bundle formula for certain algebraic fiber spaces and its applications, Gushel-Mukai varieties with many symmetries and an explicit irrational Gushel-Mukai threefold, Birational boundedness for holomorphic symplectic varieties, Zarhin's trick for \(K3\) surfaces, and the Tate conjecture, Zeta functions of Kuga fiber varieties, The global moduli theory of symplectic varieties, Geodesic rays in locally symmetric spaces, Isoperimetric inequalities for lattices in semisimple Lie groups of rank 2, Rationality of the moduli spaces of 2-elementary 𝐾3 surfaces, On the Shafarevich and Tate conjectures for hyperkähler varieties, On the equidistribution of some Hodge loci, Unnamed Item, Rational approximation on spheres, Big Picard theorem for jet differentials and non-Archimedean Ax-Lindemann theorem, Arithmeticity, superrigidity and totally geodesic submanifolds of complex hyperbolic manifolds, Logarithm laws for one parameter unipotent flows, Hodge theory, between algebraicity and transcendence, Multiplicities of the Betti map associated to a section of an elliptic surface from a differential-geometric perspective, Higher Ramanujan Equations and Periods of Abelian Varieties, On the distribution of the Hodge locus, o-minimal GAGA and a conjecture of Griffiths, Effective computation of Picard groups and Brauer-Manin obstructions of degree two \(K3\) surfaces over number fields, Fixed points, local monodromy, and incompressibility of congruence covers, Autoequivalences of twisted K3 surfaces, Tame topology of arithmetic quotients and algebraicity of Hodge loci, Supersingular \(K3\) surfaces for large primes. With an Appendix by Andrew Snowden., On algebraic families of polarized abelian varieties, K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space IV: The structure of the invariant, Stable real cohomology of arithmetic groups, THE KUGA–SATAKE CONSTRUCTION UNDER DEGENERATION, Hodge Theory of Cubic Fourfolds, Their Fano Varieties, and Associated K3 Categories, Moduli spaces of irreducible symplectic manifolds, Value distribution of meromorphic mappings into compactified locally symmetric spaces, The uniformization of the moduli space of principally polarized abelian 6-folds, Conjugation of Kuga fiber varieties, Extending the Prym map to toroidal compactifications of the moduli space of abelian varieties (with an appendix by Mathieu Dutour Sikirić), \(L^{p}\)-spectral theory of locally symmetric spaces with \(\mathbb{Q}\)-rank one, Pointwise bounds for \(L^{2}\) eigenfunctions on locally symmetric spaces, Intrinsic distances, measures and geometric function theory, Surjectivity of the period map of K3 surfaces of degree 2, Hirzebruch's proportionality theorem in the non-compact case, On algebraic fibre spaces of abelian varieties, On the cohomology of linear groups over imaginary quadratic fields, Unnamed Item, Complex analysis -- algebraicity and transcendence. Abstracts from the workshop held August 16--22, 2020 (hybrid meeting), On the periods of Enriques surfaces. II, Compactifications of the period space of Enriques surfaces. I, The abelian monodromy extension property for families of curves, A survey of Torelli and monodromy results for holomorphic-symplectic varieties, On the periods of Enriques surfaces. II, Finiteness of polarized \(K3\) surfaces and hyperkähler manifolds, Nevanlinna theory and holomorphic mappings between algebraic varieties, Arithmetic hyperbolicity and a stacky Chevalley–Weil theorem, Classification of Kuga fiber varieties, Moduli spaces of twisted K3 surfaces and cubic fourfolds, METRIC COMPACTIFICATIONS OF LOCALLY SYMMETRIC SPACES, A Compactification of ₃ via K3 Surfaces, Arithmetic curves on ball quotient surface, On the compactifications of arithmetic quotients of symmetric spaces, Lefschetz formulae for arithmetic varieties