Computing Néron–Severi groups and cycle class groups
Copyright policy )Computing Néron–Severi groups and cycle class groups
Assuming the Tate conjecture and the computability of étale cohomology with finite coefficients, we give an algorithm that computes the Néron–Severi group of any smooth projective geometrically integral variety, and also the rank of the group of numerical equivalence classes of codimension $p$cycles for any$p$.
- University of Warwick United Kingdom
- Leiden University Netherlands
- Massachusetts Institute of Technology United States
Mathematics - Number Theory, Picard groups, cycle class groups, Algebraic cycles, Étale and other Grothendieck topologies and (co)homologies, Mathematics - Algebraic Geometry, Néron-Severi groups, Other nonalgebraically closed ground fields in algebraic geometry, FOS: Mathematics, Number Theory (math.NT), 14C22 (Primary) 14C25, 14F20, 14G13 (Secondary), QA, Tate conjecture, Algebraic Geometry (math.AG), Global ground fields in algebraic geometry
Mathematics - Number Theory, Picard groups, cycle class groups, Algebraic cycles, Étale and other Grothendieck topologies and (co)homologies, Mathematics - Algebraic Geometry, Néron-Severi groups, Other nonalgebraically closed ground fields in algebraic geometry, FOS: Mathematics, Number Theory (math.NT), 14C22 (Primary) 14C25, 14F20, 14G13 (Secondary), QA, Tate conjecture, Algebraic Geometry (math.AG), Global ground fields in algebraic geometry
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