On the Gauss maps of space curves in characteristic p

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1. [1] M.F. Atiyah: Vector bundles over an elliptic curve, Proc. London Math. Soc. (3) 7 (1957) 414-452. Zbl0084.17305MR131423
2. [2] M. Flexor: Nouveaux contrexemples aux énoncés d'annulation "a la Kodaira" en caractéristique p > 0, Astérisque86 (1981) 79-89. Zbl0526.14027
3. [3] P. Griffiths and J. Harris: Principles of Algebraic Geometry, Pure Appl. Math., New York: John Wiley & Sons (1978). Zbl0408.14001MR507725
4. [4] P. Griffiths and J. Harris: Algebraic geometry and local differential geometry, Ann. Sci. École Norm. Sup. (4) 12 (1979) 355-432. Zbl0426.14019MR559347
5. [5] R. Hartshorne: Algebraic Geometry, Graduate Texts in Math. 52, New York/Berlin: Springer (1977). Zbl0367.14001MR463157
6. [6] M. Homma: Funny plane curves in characteristic p > 0, Comm. Algebra15 (1987) 1469-1501. Zbl0623.14014MR884025
7. [7] M. Homma: personal communication (1986). 
8. [8] M. Homma: personal communication (1987). 
9. [9] S. Iitaka: Algebriac Geometry, Graduate Texts in Math. 76, New York /Berlin: Springer (1982). Zbl0491.14006MR637060
10. [10] N. Jacobson: Lectures in Abstract Algebra, Vol. III, The Univ. Series in Higher Math., Princeton: Van Nostrand (1964). Zbl0124.27002MR172871
11. [11] H. Kaji: On the tangentially degenerate curves, J. London Math. Soc. (2) 33 (1986) 430-440. Zbl0565.14017MR850959
12. [12] T. Katsura and K. Ueno: On elliptic surfaces in characteristic p, Math. Ann.272 (1985) 291-330. Zbl0553.14019MR799664
13. [13] N. Katz and B. Mazur: Arithmetic Moduli of Elliptic Curves, Ann. of Math. Stud. 108, Princeton: Princeton Univ. Press (1985). Zbl0576.14026MR772569
14. [14] S.L. Kleiman: The enumerative theory of singularities, in Real and Complex Singularities, Oslo: Sijthoff & Noordhoff (1976). Zbl0385.14018MR568897
15. [15] S.L. Kleiman: Tangency and duality, Canad. Math. Soc., Conf. Proc.6 (1986) 163-225. Zbl0601.14046MR846021
16. [16] S.L. Kleiman and A. Thorup: Intersection theory and enumerative geometry: A decade in review, Proc. Sympos. Pure Math.46 (2) (1987) 321-370. Zbl0664.14031MR927987
17. [17] K. Komiya: Algebraic curves with non-classical types of gap sequences for genus three and four, Hiroshima Math. J.8 (1978) 371-400. Zbl0406.14007MR498586
18. [18] D. Laksov: Indecomposability of restricted tangent bundles, Astérisque87/88 (1981) 207-219. Zbl0489.14008MR646821
19. [19] D. Laksov: Wronskians and Plücker formulas for linear systems on curves, Ann. Sci. École Norm. Sup. (4) 17 (1984) 45-66. Zbl0555.14008MR744067
20. [20] M. Miyanishi: On affine-ruled irrational surfaces, Invent Math.70 (1982) 27-43. Zbl0499.14009MR679771
21. [21] S. Mukai: Counter example of Kodaira's vanishing and Yau's inequality in higher dimensional variety of characteristic p > 0, unpublished. 
22. [22] A. Neeman: Weierstrass points in characteristic p, Invent. Math.75 (1984) 359-376. Zbl0555.14009MR732551
23. [23] T. Oda: Vector bundles on the elliptic curve, Nagoya Math. J.43 (1971) 41-72. Zbl0201.53603MR318151
24. [24] R. Pardini: Some remarks on plane curves over fields of finite characteristic, Comp. Math.60 (1986) 3-17. Zbl0607.14023MR867952
25. [25] R. Piene: Numerical characters of a curve in projective n-space, in Real and Complex Singularities, Oslo: Sijthoff & Noordhoff (1976). Zbl0375.14017MR506323
26. [26] J. Rathmann: The uniform position principle for curves in characteristic p, Math. Ann.276 (1987) 565-579. Zbl0595.14041MR879536
27. [27] M. Raynaud: Contre-example au "vanishing theorem" en caractéristique p > 0, in C.P. Ramanujam-A Tribute, Tata Inst. Fund. Res. Studies in Math. 8, Bombay: Tata Inst. Fund. Res. (1978). Zbl0441.14006MR541027
28. [28] J. Roberts: Generic projections of algebraic varieties, Amer. J. Math.93 (1971) 191-214. Zbl0212.53801MR277530
29. [29] P. Samuel: Lectures on Old and New Results on Algebraic Curves, Tata Inst. Fund. Res. Lectures on Math. and Phys., Math. 36, Bombay: Tata Inst. Fund. Res. (1966). Zbl0165.24102MR222088
30. [30] F.K. Schmidt: Die Wronskische Determinante in beliebigen differenzierbaren Funktionenkörpern, Math. Z.45 (1939) 62-74. Zbl0020.10201MR1545804JFM65.0115.02
31. [31] F.K. Schmidt: Zur arithmetischen Theorie der algebraischen Funktionen. II. Allgemeine Theorie der Weierstrasspunkte, Math. Z.45 (1939) 75-96. Zbl0020.10202MR1545805
32. [32] H. Tango: On the behavior of extensions of vector bundles under the Frobenius map, Nagoya Math. J.48 (1972) 73-89. Zbl0239.14007MR314851
33. [33] A.H. Wallace: Tangency and duality over arbitrary fields, Proc. London Math. Soc. (3) 6 (1956) 321-342. Zbl0072.16002MR80354

1. Hajime Kaji, On the Gauss maps of space curves in characteristic p, II
2. Masaaki Homma, A souped-up version of Pardini's theorem and its application to funny curves