scientific article

zbMath0745.14012MaRDI QIDQ3971128

Robert Varley, Roy Campbell Smith

Publication date: 25 June 1992

Full work available at URL: http://www.numdam.org/item?id=CM_1990__76_3_367_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

generic constructive Torelli theoreminfinitesimal deformation theory for the singularities of theta divisorsrank-4 double pointrank-4 quadrics conjecturetheta divisor in the Jacobian of a non-hyperelliptic smooth curve

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Geometric invariant theory (14L24) Jacobians, Prym varieties (14H40) Theta functions and abelian varieties (14K25) Algebraic moduli of abelian varieties, classification (14K10) Singularities of curves, local rings (14H20) Theta functions and curves; Schottky problem (14H42) Local deformation theory, Artin approximation, etc. (14B12)

Related Items

Deforming curves in Jacobians to non-Jacobians. I: Curves in \(C^{(2)}\), Aspetti geometrici della teoria delle varietà di Prym, Second order theta divisors on Pryms, Deformations of minimal cohomology classes on abelian varieties

Cites Work

• Quadrics of rank four in the ideal of a canonical curve
• On Petri's analysis of the linear system of quadrics through a canonical curve
• Lectures on deformations of singularities. Notes by C. S. Seshadri, Allen Tannenbaum
• On the geometry of a theorem of Riemann
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
• Rigidity of quotient singularities
• On a characterization of a Jacobian variety
• The Equations Defining a Curve of Genus 4
• Tangent Cones to Discriminant Loci for Families of Hypersurfaces
• The Cotangent Complex of a Morphism
• Functors of Artin Rings
• Formal deformation theory
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