Potential theory and Lefschetz theorems for arithmetic surfaces

Potential theory and Lefschetz theorems for arithmetic surfaces

Source :

• Annales scientifiques de l'Ecole normale superieure [ 0012-9593 ] ; 1999.

English descriptors

• KwdEn :
  • Algebraic, Algebraic geometry, Algebraic varieties, Analogue, Annales, Annales scientifiques, Arakelov, Arakelov degree, Arakelov divisor, Arakelov divisors, Arakelov geometry, Arakelov intersection pairing, Arakelov intersection theory, Arithmetic, Arithmetic analogue, Arithmetic chow group, Arithmetic surface, Arithmetic surfaces, Biholomorphic, Bost, Canonical, Capacity theory, Cartier, Cartier divisor, Closure, Compact riemann, Compact riemann surface, Compact subset, Complex conjugation, Conjugation, Connectedness, Connectedness assertion, Connectedness theorem, Constant function, Continuous function, Converges, Corollary, Dirichlet, Dirichlet form, Disjoint, Disjoint union, Divisor, Effective divisor, Effective divisors, Effective weil divisor, Elliptic, Elliptic curve, Embedding, Equilibrium potentials, Equivalently, Faltings, Faltings height, First part, Function field, Fundamental groups, Generalized function, Geometric point, Good reduction, Green function, Green functions, Groupe fondamental, Harmonic, Harmonic function, Hermitian, Hermitian form, Hermitian line bundle, Hodge, Hodge index inequality, Hodge index theorem, Holomorphic, Holomorphic embedding, Homotopy equivalence, Ihara, Inequality, Intersection pairing, Intersection product, Inverse image, Irreducible, Irreducible component, Irreducible components, Isomorphism, Laplace equation, Lecture notes, Lefschetz, Lefschetz theorem, Lefschetz theorems, Line bundle, Local holomorphic, Main result, Main theorem, Maximum principle, Meromorphic function, Morphism, Neighbourhood, Normale, Normale supbrieure, Normale superieure, Normale supfirieure, Number field, Numerical effectivity, Open disk, Open neighbourhood, Open subscheme, Open subset, Other hand, Pairing, Polar, Polar subset, Potential theory, Present paper, Projection formula, Projective, Projective arithmetic surface, Projective integral, Projective surfaces, Quotient, Rational function, Real coefficients, Real number, Regular boundary point, Regularity, Resp, Riemann, Riemann surface, Riemann surfaces, Right hand side, Sbrie tome, Scientifiques, Sfirie tome, Sobolev space, Spec, Special case, Stein factorization, Subharmonic, Subharmonic function, Subharmonic functions, Subscheme, Subset, Supfirieure, Theorem, Tome, Topology, Variational characterization, Vector space, Vertical fibers, Weil, Weil divisor.
• Teeft :
  • Algebraic, Algebraic geometry, Algebraic varieties, Analogue, Annales, Annales scientifiques, Arakelov, Arakelov degree, Arakelov divisor, Arakelov divisors, Arakelov geometry, Arakelov intersection pairing, Arakelov intersection theory, Arithmetic, Arithmetic analogue, Arithmetic chow group, Arithmetic surface, Arithmetic surfaces, Biholomorphic, Bost, Canonical, Capacity theory, Cartier, Cartier divisor, Closure, Compact riemann, Compact riemann surface, Compact subset, Complex conjugation, Conjugation, Connectedness, Connectedness assertion, Connectedness theorem, Constant function, Continuous function, Converges, Corollary, Dirichlet, Dirichlet form, Disjoint, Disjoint union, Divisor, Effective divisor, Effective divisors, Effective weil divisor, Elliptic, Elliptic curve, Embedding, Equilibrium potentials, Equivalently, Faltings, Faltings height, First part, Function field, Fundamental groups, Generalized function, Geometric point, Good reduction, Green function, Green functions, Groupe fondamental, Harmonic, Harmonic function, Hermitian, Hermitian form, Hermitian line bundle, Hodge, Hodge index inequality, Hodge index theorem, Holomorphic, Holomorphic embedding, Homotopy equivalence, Ihara, Inequality, Intersection pairing, Intersection product, Inverse image, Irreducible, Irreducible component, Irreducible components, Isomorphism, Laplace equation, Lecture notes, Lefschetz, Lefschetz theorem, Lefschetz theorems, Line bundle, Local holomorphic, Main result, Main theorem, Maximum principle, Meromorphic function, Morphism, Neighbourhood, Normale, Normale supbrieure, Normale superieure, Normale supfirieure, Number field, Numerical effectivity, Open disk, Open neighbourhood, Open subscheme, Open subset, Other hand, Pairing, Polar, Polar subset, Potential theory, Present paper, Projection formula, Projective, Projective arithmetic surface, Projective integral, Projective surfaces, Quotient, Rational function, Real coefficients, Real number, Regular boundary point, Regularity, Resp, Riemann, Riemann surface, Riemann surfaces, Right hand side, Sbrie tome, Scientifiques, Sfirie tome, Sobolev space, Spec, Special case, Stein factorization, Subharmonic, Subharmonic function, Subharmonic functions, Subscheme, Subset, Supfirieure, Theorem, Tome, Topology, Variational characterization, Vector space, Vertical fibers, Weil, Weil divisor.

Abstract

• https://api.istex.fr/document/FB5414D78AF82EDA59C1362B65414669205D32AA/fulltext/pdf

Affiliations:

• France
• Île-de-France
• Orsay
• Université Paris-Sud

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