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Mathematical Object

Jacobian Variety

Algebraic Geometry and K-Theory

In algebraic geometry, the Jacobian variety of a non-singular algebraic curve of genus g is the moduli space of degree zero line bundles on the curve, equivalently the connected component of the identity in the curve own Picard group, making it an abelian variety. It is named after Carl Gustav Jacobi and is a principally polarized abelian variety of dimension g. Over the complex numbers it is a complex torus, and any algebraic curve can be embedded into its own Jacobian variety. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

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Structure or Algebraic Object 1
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Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.

Sources
1. Jacobian Variety (Wikipedia)
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