Determinantal criteria for transversality of morphisms

Pacific Journal of Mathematics

Volumn 156, Issue 2, 1992, Pages 307-328

  Laksov, Dan ^a   Speiser, Robert ^b  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b BRIGHAM YOUNG UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0013526549     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.1992.156.307     Document Type: Article

References (8)

1. A. Altman and S. L. Kleiman, Introduction to Grothendieck Duality Theory, Lecture Notes in Math., vol. 146, Springer-Verlag, New York-Heidelberg-Berlin, 1970.
2. A. Grothendieck (with J. Dieudonné), Eléments de géométrie algébrique, Chap. IV, Publ. Math, de I.H.E.S., 20 (1964), 24 (1964), 28 (1966), 32 (1967).
3. R. Hartshome, Algebraic Geometry, Springer GTM 52, New York-Heidelberg-Berlin, (1977).
4. S. L. Kleiman, The transversality of a general translate, Compositio Math., 28 (1974), 287-297.
5. D. Laksov, Deformation of determinantalschemes, Compositio Math., 30 (1975), 273-292.
6. D. Laksov and R. Speiser, Transversality Criteria in any Characteristic, Proc. 1987 Sitges conference on enumerative geometry, Lecture Notes in Math., vol. 1436, Springer-Verlag, New York-Heidelberg-Berlin, 1990, pp. 139-150.
7. R. Speiser, Transversality Theorems for Families of Maps, Proc. 1986 Sundance Conference, Lecture Notes in Math., vol. 1311, Springer-Verlag, New York-Heidelberg-Berlin, 1988, pp. 235-252.
8. O. Zariski, The theorem of Bertini on the variable singular points of a linear system of varieties, Trans. Amer. Math. Soc., 56 (1944), 130-140; also Collected papers, v.1, MIT Press, (1972), 242-252.