Components with the expected codimension in the moduli scheme of stable spin curves

Edoardo Ballico

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2015)

  • Volume: 69, Issue: 1
  • ISSN: 0365-1029

Abstract

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Here we study the Brill–Noether theory of “extremal” Cornalba’s theta-characteristics on stable curves C of genus g, where “extremal” means that they are line bundles on a quasi-stable model of C with #(Sing(C)) exceptional components.

How to cite

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Edoardo Ballico. "Components with the expected codimension in the moduli scheme of stable spin curves." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 69.1 (2015): null. <http://eudml.org/doc/289746>.

@article{EdoardoBallico2015,
abstract = {Here we study the Brill–Noether theory of “extremal” Cornalba’s theta-characteristics on stable curves C of genus g, where “extremal” means that they are line bundles on a quasi-stable model of C with #(Sing(C)) exceptional components.},
author = {Edoardo Ballico},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Stable curve; theta-characteristic; spin curve; Brill–Noether theory},
language = {eng},
number = {1},
pages = {null},
title = {Components with the expected codimension in the moduli scheme of stable spin curves},
url = {http://eudml.org/doc/289746},
volume = {69},
year = {2015},
}

TY - JOUR
AU - Edoardo Ballico
TI - Components with the expected codimension in the moduli scheme of stable spin curves
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2015
VL - 69
IS - 1
SP - null
AB - Here we study the Brill–Noether theory of “extremal” Cornalba’s theta-characteristics on stable curves C of genus g, where “extremal” means that they are line bundles on a quasi-stable model of C with #(Sing(C)) exceptional components.
LA - eng
KW - Stable curve; theta-characteristic; spin curve; Brill–Noether theory
UR - http://eudml.org/doc/289746
ER -

References

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  1. Arbarello, E., Cornalba, M., Griffiths, P. A., Geometry of Algebraic Curves. Vol. II, Springer, Berlin, 2011. 
  2. Ballico, E., Sections of theta-characteristics on stable curves, Int. J. Pure Appl. Math. 54, No. 3 (2009), 335–340. 
  3. Benzo, L., Components of moduli spaces of spin curves with the expected codimension, Mathematische Annalen (2015), DOI 10.1007/s00208-015-1171-6, arXiv:1307.6954. 
  4. Caporaso, L., A compactification of the universal Picard variety over the moduli space of stable curves, J. Amer. Math. Soc. 7, No. 3 (1994), 589–660. 
  5. Cornalba, M., Moduli of curves and theta-characteristics. Lectures on Riemann surfaces (Trieste, 1987), World Sci. Publ., Teaneck, NJ, 1989, 560–589. 
  6. Farkas, G., Gaussian maps, Gieseker–Petri loci and large theta-characteristics, J. Reine Angew. Math. 581 (2005), 151–173. 
  7. Fontanari, C., On the geometry of moduli of curves and line bundles, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 16, No. 1 (2005), 45–59. 
  8. Harris, J., Theta-characteristics on algebraic curves, Trans. Amer. Math. Soc. 271 (1982), 611–638. 
  9. Jarvis, T. J., Torsion-free sheaves and moduli of generalized spin curves, Compositio Math. 110, No. 3 (1998), 291–333. 

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