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Title of Journal: Math Ann

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Abbravation: Mathematische Annalen

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Springer-Verlag

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DOI

10.1007/s10955-011-0128-8

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1432-1807

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Spin curves and Scorza quartics

Authors: Hiromichi Takagi Francesco Zucconi
Publish Date: 2010/05/22
Volume: 349, Issue: 3, Pages: 623-645
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Abstract

In the paper Takagi and Zucconi in “On blowups of the quintic del Pezzo 3fold and varieties of power sums of quartic hypersurfaces” pp 1–40 preprint submitted 2008 we construct new subvarieties in the varieties of power sums for certain quartic hypersurfaces In this paper we show that these quartics coincide with the Scorza quartics of general pairs of trigonal curves and ineffective theta characteristics Among other applications we give an affirmative answer to the conjecture of Dolgachev and Kanev on the existence of the Scorza quartics for any general pairs of curves and ineffective theta characteristics We also give descriptions of the moduli spaces of trigonal even spin curves

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  1. Estimates of the Green function for X-elliptic operators
  2. Fibred multilinks and singularities $${f \overline g}$$
  3. The NSLUC property and Klee envelope
  4. Hölder estimates for parabolic p ( x , t )-Laplacian systems
  5. Ricci flow on surfaces with cusps
  6. A non-laminar dynamical Green current
  7. Artin characters, Hurwitz trees and the lifting problem
  8. Generic non-selfadjoint Zakharov–Shabat operators
  9. Strichartz estimates via the Schrödinger maximal operator
  10. Examples of relative deformation spaces that are not locally connected
  11. Polynomial approximation of Berkovich spaces and definable types
  12. Prographes sylvestres et groupes profinis presque libres
  13. Zone diagrams in Euclidean spaces and in other normed spaces
  14. A critical radius for unit Hopf vector fields on spheres
  15. Many triangulated 3-spheres
  16. New examples of c 0 -saturated Banach spaces
  17. Rational curves, Dynkin diagrams and Fano manifolds with nef tangent bundle
  18. Relatively weakly open sets in closed balls of Banach spaces, and real JB * -triples of finite rank
  19. The Bergman metric on complete Kähler manifolds
  20. Conformal dimension via subcomplexes for small cancellation and random groups
  21. Analytic torsion of Hirzebruch surfaces
  22. Déformations des cônes de vecteurs primitifs
  23. Radial entire solutions for supercritical biharmonic equations
  24. Weighted Calderón–Zygmund and Rellich inequalities in $$L^p$$
  25. On entropy, regularity and rigidity for convex representations of hyperbolic manifolds
  26. Rigidity of proper holomorphic maps between bounded symmetric domains
  27. On CR Paneitz operators and CR pluriharmonic functions
  28. Absence of wandering domains for some real entire functions with bounded singular sets
  29. Isomonodromic deformations of logarithmic connections and stability
  30. Pointwise equidistribution with an error rate and with respect to unbounded functions
  31. On the Frobenius stable part of Witt vector cohomology
  32. Quantitative mixing results and inner functions
  33. Configuration spaces, transfer, and 2-nodal solutions of a semiclassical nonlinear Schrödinger equation
  34. Points rationnels des variétés de Shimura: un principe du “tout ou rien”
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  37. On Oliver’s p -group conjecture: II
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