On the Dimension of Varieties of Special Divisors

DOI10.2307/1997075zbMath0332.32016OpenAlexW4245645368MaRDI QIDQ4097993

Robert F. Lax

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/1997075

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Jacobians, Prym varieties (14H40) Divisors, linear systems, invertible sheaves (14C20) Families, moduli of curves (analytic) (14H15)

Related Items (10)

Gap sequences and moduli in genus 4 ⋮ Weierstrass points on rational nodal curves ⋮ Multiples of Weierstrass Points as Special Divisors ⋮ Riemann surfaces ⋮ Deformations of Exceptional Weierstrass Points ⋮ Weierstrass points of the universal curve ⋮ On higher order Weierstrass points of the universal curve ⋮ Reconstructing pluricanonical embeddings of general \(k\)-gonal curves via odd theta-characteristics ⋮ Connected components of the strata of quadratic differentials over the Teichmüller space ⋮ Tangent spaces in moduli via deformations with applications to Weierstrass points

Cites Work

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• The determinantal formula of Schubert calculus
• Another proof of the existence of special divisors
• Rauch's variational formula and the heat equation
• Variations of Teichmueller and Torelli surfaces
• Weierstrass points, branch points, and moduli of riemann surfaces
• Lectures on Riemann Surfaces: Jacobi Varieties
• Special Divisors and Analytic Subloci of Teichmueller Space
• On the varieties of special divisors on a curve.
• Varieties of special divisors on a curve. II.
• On the Existence of Special Divisors
• On a Theorem of Torelli

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