These are the differentials of order n

Transactions of the American Mathematical Society

Volumn 351, Issue 4, 1999, Pages 1293-1353

  Laksov, Dan ^a   Thorup, Anders ^b  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22644450827     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-99-02120-0     Document Type: Article

References (24)

1. A. Buium, Intersections in jet spaces and a conjecture of S. Lang, Ann. of Math. 136 (1992), 557-567. MR 93j:14055
2. A. Buium, Geometry of differential polynomial functions, I: algebraic groups, Amer. J. Math. 115 (1993), 1385-1444. MR 95c:12011
3. A. Buium, Geometry of differential polynomial functions, II: algebraic curves, Amer. J. Math. 116 (1994), 785-818. MR 96a:14039
4. A. Buium, Geometry of differential polynomial functions, III: moduli spaces, Amer. J. Math. 117 (1995), 1-73. MR 96b:14059
5. S. J. Colley and G. Kennedy, A higher-order contact formula for plane curves, Comm. Algebra 19(2) (1991), 479-508. MR 92f:14056
6. S. J. Colley and G. Kennedy, The enumeration of simultaneous higher-order contacts between plane curves, Compositio Math. 93(2) (1994), 171-206. MR 95f:14097
7. A. Collino, Evidence for a conjecture of Ellingsrud and Stramme on the Chow ring of Hilbd(P2), Illinois J. Math. 32 (1988), 171-210. MR 89d:14004
8. J.-P. Demailly, Algebraic criteria for Kobayashi hyperbolic projective varieties and jet differentials, Lecture Notes, AMS Summer Research Institute Santa Cruz 1995, PSPM, vol. 62, part 2, 1997. CMP 98:07
9. A. Grothendieck, with J. Dieudonné, Eléments de Géométrie Algébrique IVi, Inst. Hautes Études Sei. Publ. Math. 32 (1967), 1-361. MR 39:220
10. S. litaka, Symmetric forms and \Veierstrass cycles, Proc. Japan Acad., Ser. A 54 (1978), 101-103. MR 58:10893
11. S. litaka, Duality theorems for symmetric differential forms, Proc. Jap. Acad., Ser. A 55 (1979), 53-58. MR 80j:14018
12. S. litaka, Symmetric forms and \Veierstrass semigroups, Algebraic geometry, Proc. Summer Meet., Copenh. 1978, Lect. Notes Math. 732, 1979, pp. 157-170. MR 81e:14012
13. S. litaka, Weierstrass forms associated with linear systems, Adv. Math. 33 (1979), 14-30. MR 81c:14003
14. J. Johnson, Order for systems of differential equations and a generalization of the notion of differential ring, J. Algebra 78 (1982), 91-119. MR 85i:12010
15. J. Johnson, Prolongations of integral domains, J. Algebra 94 (1985), 173-210. MR 86i:12008
16. E. R. Kolchin, Differential algebra and algebraic groups, Academic Press, 1973. MR 58:27929
17. E. R. Kolchin, Differential algebraic groups, Academic Press, New York, 1985. MR 87i:12016
18. D. Laksov and A. Thorup, The Brill-Segre formula for families of curves, Enumerative Algebraic Geometry: Proceedings of the 1989 Zeuthen Symposium in Copenhagen, S. L. Kleiman and A. Thorup (Eds.), Contemporary Mathematics 123, AMS, Providence, 1991, pp. 131-148. MR 92k:14029
19. D. Laksov and A. Thorup, Weierstrass points and gap sequences for families of curves, Ark. Mat. 32 (1994), 393-422. MR 96b:14041
20. D. Laksov and A. Thorup, Weierstrass points on schemes, J. Reine Angew. Math. 460 (1995), 127-164. MR 96b:14016
21. P.-A. Meyer, Formes différentielles d'ordre n 1, Publication IRMA, Université Louis Pasteur, Strasbourg, 1979/80.
22. P.-A. Meyer, Qu'est ce qu'une différentielle d'ordre n?, Exposition. Math. 7 (1989), 249-264. MR 91d:60125
23. J. F. Ritt, Differential Algebra, Amer. Math. Soc. Coll. Publ. 33, Amer. Math. Soc., New York, 1950. MR 12:7c
24. R. Speiser, Derived triangles and differential systems, Projective geometry with applications, Lecture Notes in Pure and Applied Mathematics, 166, Dekker, New York, 1994, pp. 97-109. MR 95k:14073