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Algebraic Geometry

The geometry of solution sets of polynomial equations, studied through the algebra of the rings that define them.

Publications in Algebraic Geometry
Browse academic publications and research works in this field

Every finite flat commutative group scheme over a noetherian local ring is the torsion component of the Picard scheme of a smooth projective scheme with 3-dimensional fibers, built as a quotient of a complete intersection. An application: Hodge numbers that jump in a smooth projective family.

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