Geometry of the theta divisor of a compactified jacobian
Copyright policy )Geometry of the theta divisor of a compactified jacobian
The object of this paper is the theta divisor of the compactified jacobian of a nodal curve. We determine its irreducible components and give it a geometric interpretation. A characterization of hyperelliptic irreducible stable curves is appended as an application.
- Roma Tre University Italy
Picard schemes, higher Jacobians, Nodal curve, hyperelliptic stable curve, 14H40, 14H51, 14K30, 14D20, Special divisors on curves (gonality, Brill-Noether theory), Mathematics - Algebraic Geometry, Nodal curve, line bundle, compactified Picard scheme, theta divisor, Abel map, hyperelliptic stable curve, line bundle, Algebraic moduli problems, moduli of vector bundles, compactified Picard scheme, Abel map, FOS: Mathematics, theta divisor, Jacobians, Prym varieties, Algebraic Geometry (math.AG)
Picard schemes, higher Jacobians, Nodal curve, hyperelliptic stable curve, 14H40, 14H51, 14K30, 14D20, Special divisors on curves (gonality, Brill-Noether theory), Mathematics - Algebraic Geometry, Nodal curve, line bundle, compactified Picard scheme, theta divisor, Abel map, hyperelliptic stable curve, line bundle, Algebraic moduli problems, moduli of vector bundles, compactified Picard scheme, Abel map, FOS: Mathematics, theta divisor, Jacobians, Prym varieties, Algebraic Geometry (math.AG)
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