On the local Severi problem
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- by Robert Treger PDF
- Bull. Amer. Math. Soc. 19 (1988), 325-327
References
- Enrico Arbarello and Maurizio Cornalba, On a notable property of the morphisms of a curve with general moduli into a projective space, Rend. Sem. Mat. Univ. Politec. Torino 38 (1980), no. 2, 87–99 (1981) (Italian, with English summary). MR 624390
- Alexander Grothendieck, Le groupe de Brauer. I. Algèbres d’Azumaya et interprétations diverses, Dix exposés sur la cohomologie des schémas, Adv. Stud. Pure Math., vol. 3, North-Holland, Amsterdam, 1968, pp. 46–66 (French). MR 244269
- Joe Harris, On the Severi problem, Invent. Math. 84 (1986), no. 3, 445–461. MR 837522, DOI 10.1007/BF01388741
- Ziv Ran, On nodal plane curves, Invent. Math. 86 (1986), no. 3, 529–534. MR 860680, DOI 10.1007/BF01389266 5. F. Severi, Vorlesungen über algebraische Geometrie, Anhang F, Teubner, Leipzig, 1921.
- Oscar Zariski, Dimension-theoretic characterization of maximal irreducible algebraic systems of plane nodal curves of a given order $n$ and with a given number $d$ of nodes, Amer. J. Math. 104 (1982), no. 1, 209–226. MR 648487, DOI 10.2307/2374074
- Oscar Zariski, On the problem of irreducibility of the algebraic system of irreducible plane curves of a given order and having a given number of nodes, Arithmetic and geometry, Vol. II, Progr. Math., vol. 36, Birkhäuser Boston, Boston, MA, 1983, pp. 465–481. MR 717621
Additional Information
- Journal: Bull. Amer. Math. Soc. 19 (1988), 325-327
- MSC (1985): Primary 14H10, 14H45
- DOI: https://doi.org/10.1090/S0273-0979-1988-15659-5
- MathSciNet review: 940497