Tangent spaces in moduli via deformations with applications to Weierstrass points
Steven Diaz
Source: Duke Math. J. Volume 51, Number 4 (1984), 905-922.
First Page PDF: View first page of article (PDF, 103 KB)Primary Subjects: 14H15
Secondary Subjects: 14F07, 32G15
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077304100
Mathematical Reviews number (MathSciNet):
MR771387
Zentralblatt MATH identifier:
0581.14019
Digital Object Identifier: doi:10.1215/S0012-7094-84-05140-8
References
[1] E. Arbarello, On subvarieties of the moduli space of curves of genus $g$ defined in terms of Weierstrass points, Atti Accad. Naz. Lincei Mem. Cl. Sci. Fis. Mat. Natur. Sez. Ia (8) 15 (1978), no. 1, 3–20.
Mathematical Reviews (MathSciNet):
MR80f:14013
Zentralblatt MATH:
0435.14007
[2] E. Arbarello, Weierstrass points and moduli of curves, Compositio Math. 29 (1974), 325–342.
Mathematical Reviews (MathSciNet):
MR50:13048
Zentralblatt MATH:
0355.14013
[3] E. Arbarello, M. Cornalba, P. Griffiths, and J. Harris, Topics in the theory of algebraic curves, to appear.
[4] A. Clebsch, Zür Theorie der Riemann'schen Fläche, Math. Ann. 6 (1872), 216–230.
Digital Object Identifier: doi:10.1007/BF01443193
[5] S. Diaz, Exceptional Weierstrass points and the divisor on moduli space that they define, Ph.D. thesis, Brown, 1982.
[6] W. Fulton, Hurwitz schemes and irreducibility of moduli of algebraic curves, Ann. of Math. (2) 90 (1969), 542–575.
Mathematical Reviews (MathSciNet):
MR41:5375
Zentralblatt MATH:
0194.21901
Digital Object Identifier: doi:10.2307/1970748
JSTOR: links.jstor.org
[7] J. Harer, The second homology group of the mapping class group of an orientable surface, Invent. Math. 72 (1983), no. 2, 221–239.
Mathematical Reviews (MathSciNet):
MR84g:57006
Zentralblatt MATH:
0533.57003
Digital Object Identifier: doi:10.1007/BF01389321
[8] R. F. Lax, On the dimension of varieties of special divisors, Trans. Amer. Math. Soc. 203 (1975), 141–159.
Mathematical Reviews (MathSciNet):
MR50:13049
Zentralblatt MATH:
0332.32016
Digital Object Identifier: doi:10.2307/1997075
[9] R. F. Lax, Weierstrass points of the universal curve, Math. Ann. 216 (1975), 35–42.
Mathematical Reviews (MathSciNet):
MR52:5681
Zentralblatt MATH:
0291.32028
Digital Object Identifier: doi:10.1007/BF02547970
[10] H. E. Rauch, Weierstrass points, branch points, and moduli of Riemann surfaces, Comm. Pure Appl. Math. 12 (1959), 543–560.
Mathematical Reviews (MathSciNet):
MR22:1666
Zentralblatt MATH:
0091.07301
Digital Object Identifier: doi:10.1002/cpa.3160120310
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