A remark on the Picard group of spin moduli space

Maurizio Cornalba

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1991)

  • Volume: 2, Issue: 3, page 211-217
  • ISSN: 1120-6330

Abstract

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We describe a number of classes in the Picard group of spin moduli space and determine the relations they satisfy; as an application we show that the Picard group in question contains 4-torsion elements.

How to cite

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Cornalba, Maurizio. "A remark on the Picard group of spin moduli space." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 2.3 (1991): 211-217. <http://eudml.org/doc/244213>.

@article{Cornalba1991,
abstract = {We describe a number of classes in the Picard group of spin moduli space and determine the relations they satisfy; as an application we show that the Picard group in question contains 4-torsion elements.},
author = {Cornalba, Maurizio},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Moduli; Algebraic curves; Theta-characteristics; generation of Picard group; spin moduli space; algebraic curve; theta characteristic},
language = {eng},
month = {9},
number = {3},
pages = {211-217},
publisher = {Accademia Nazionale dei Lincei},
title = {A remark on the Picard group of spin moduli space},
url = {http://eudml.org/doc/244213},
volume = {2},
year = {1991},
}

TY - JOUR
AU - Cornalba, Maurizio
TI - A remark on the Picard group of spin moduli space
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1991/9//
PB - Accademia Nazionale dei Lincei
VL - 2
IS - 3
SP - 211
EP - 217
AB - We describe a number of classes in the Picard group of spin moduli space and determine the relations they satisfy; as an application we show that the Picard group in question contains 4-torsion elements.
LA - eng
KW - Moduli; Algebraic curves; Theta-characteristics; generation of Picard group; spin moduli space; algebraic curve; theta characteristic
UR - http://eudml.org/doc/244213
ER -

References

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  1. CORNALBA, M., Moduli of curves and theta-characteristics. In: M. CORNALBA - X. GOMEZ-MONT - A. VERJOVSKY (eds.), Lectures on Riemann Surfaces. World Scientific, Singapore1989, 560-589. Zbl0800.14011MR1082361
  2. DELIGNE, P., La formule de dualité globale. In: Théorie des Topos et Cohomologie Étale des Schémas. (S.G.A. 4), tome 3. Lecture Notes in Mathematics, 305, 1973, 481-587. Zbl0259.14006
  3. DELIGNE, P., Le déterminant de la cohomologie. In: K. A. RIBET (éd.), Current Trends in Arithmetical Algebraic Geometry. Contemporary Mathematics, 67, 1987, 93-177. Zbl0629.14008MR902592DOI10.1090/conm/067/902592
  4. HARRIS, J. - MUMFORD, D., On the Kodaira dimension of the moduli space of curves. Invent. Math., 67, 1982, 23-86. Zbl0506.14016MR664324DOI10.1007/BF01393371
  5. MUMFORD, D., Stability of projective varieties. L'Enseignement Mathém., 23, 1977, 39-110. Zbl0363.14003MR450272
  6. MUMFORD, D., Picard groups of moduli problems. In: O. F. G. SCHILLING (éd.), Arithmetical Algebraic Geometry. Harper and Row, New York1965, 33-81. Zbl0187.42801MR201443

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