NOETHER–LEFSCHETZ THEORY AND NÉRON–SEVERI GROUP
Copyright policy )NOETHER–LEFSCHETZ THEORY AND NÉRON–SEVERI GROUP
Let Z be a closed subscheme of a smooth complex projective complete intersection variety Y ⊆ ℙN, with dim Y = 2r + 1 ≥ 3. We describe the Néron–Severi group NSr(X) of a general smooth hypersurface X ⊂ Y of sufficiently large degree containing Z.
Settore MAT/03 - GEOMETRIA, Néron-Severi group, Noether-Lefschetz theory; Neron-Severi group; Milnor fibration; semistable degenerations, Noether-Lefschetz theory, Algebraic cycles, semistable degenerations, Neron-Severi group, Mathematics - Algebraic Geometry, Structure of families (Picard-Lefschetz, monodromy, etc.), Transcendental methods, Hodge theory (algebro-geometric aspects), FOS: Mathematics, Complete intersections, Divisors, linear systems, invertible sheaves, Milnor fibration, Milnor fibration; relations with knot theory, Algebraic Geometry (math.AG), 14C25, 14D05, 32S55, 14C20, 14C30, 14M10
Settore MAT/03 - GEOMETRIA, Néron-Severi group, Noether-Lefschetz theory; Neron-Severi group; Milnor fibration; semistable degenerations, Noether-Lefschetz theory, Algebraic cycles, semistable degenerations, Neron-Severi group, Mathematics - Algebraic Geometry, Structure of families (Picard-Lefschetz, monodromy, etc.), Transcendental methods, Hodge theory (algebro-geometric aspects), FOS: Mathematics, Complete intersections, Divisors, linear systems, invertible sheaves, Milnor fibration, Milnor fibration; relations with knot theory, Algebraic Geometry (math.AG), 14C25, 14D05, 32S55, 14C20, 14C30, 14M10
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