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Footnotes to a paper of Beniamino Segre

The number ofg 1d 's on a generald-gonal curve, and the Unirationality of the Hurwitz spaces of 4-gonal and 5-gonal curves

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References

  1. Arbarello, E., Cornalba, M.: Su una congettura di Petri. Comment. Math. Helv.56, 1–38 (1981)

    Google Scholar 

  2. Fulton, W.: Hurwitz schemes and irreducibility of moduli of algebraic curves. Ann. Math.90, 542–575 (1969)

    Google Scholar 

  3. Horikawa, E.: On deformations of holomorphic maps I. J. Math. Soc. Japan25, 372–396 (1973); II, ibid.26, 647–667 (1974)

    Google Scholar 

  4. Kleiman, S., Laksov, D.: Another proof of the existence of special divisors. Acta Math.132, 163–176 (1974)

    Google Scholar 

  5. Permutti, R.: Sui moduli delle curvek-gonali. Rend. Mat. ser. V.9, 54–58 (1950)

    Google Scholar 

  6. Segre, B.: Sui moduli delle curve poligonali e sopra un complemento al teorema di esistenza di Riemann. Math. Ann.100, 537–551 (1928)

    Google Scholar 

  7. Segre, C.: Preliminari di una teoria delle varietá di spazi. Rend. Circ. Mat. Palermo.30, 87–121 (1910)

    Google Scholar 

  8. Sernesi, E.: L'unirazionalitá della varietá dei moduli delle curve di genere dodici. To appear in Ann. Scuola Norm. Sup. Pisa.

  9. Severi, F.: Sul teorema di esistenza di Riemann. Rend. Circ. Mat., Palermo46, 105–116 (1927)

    Google Scholar 

  10. Severi, F.: Vorlesungen über algebraische Geometrie. Leipzig: 1921

  11. Tannenbaum, A.: Families of algebraic curves with nodes. Compositio. Math.41, 107–126 (1980)

    Google Scholar 

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During the preparation of this manuscript the second named author was partially supported by N.S.F. (Grant MCS-78-07348) and by Consiglio Nazionale delle Ricerche

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Arbarello, E., Cornalba, M. Footnotes to a paper of Beniamino Segre. Math. Ann. 256, 341–362 (1981). https://doi.org/10.1007/BF01679702

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  • DOI: https://doi.org/10.1007/BF01679702

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