## Duke Mathematical Journal

### On the cylinder homomorphism for a family of algebraic cycles

#### Article information

Source
Duke Math. J., Volume 64, Number 1 (1991), 201-205.

Dates
First available in Project Euclid: 20 February 2004

https://projecteuclid.org/euclid.dmj/1077295392

Digital Object Identifier
doi:10.1215/S0012-7094-91-06409-4

Mathematical Reviews number (MathSciNet)
MR1131399

Zentralblatt MATH identifier
0756.14004

Subjects
Primary: 14C25: Algebraic cycles

#### Citation

Shimada, Ichiro. On the cylinder homomorphism for a family of algebraic cycles. Duke Math. J. 64 (1991), no. 1, 201--205. doi:10.1215/S0012-7094-91-06409-4. https://projecteuclid.org/euclid.dmj/1077295392

#### References

• [1] C. Borcea, Deforming varieties of $k$-planes of projective complete intersections, Pacific J. Math. 143 (1990), no. 1, 25–36.
• [2] C. H. Clemens, On the surjectivity of Abel-Jacobi mappings, Ann. of Math. (2) 117 (1983), no. 1, 71–76.
• [3] C. H. Clemens and P. A. Griffiths, The intermediate Jacobian of the cubic threefold, Ann. of Math. (2) 95 (1972), 281–356.
• [4] K. Lamotke, The topology of complex projective varieties after S. Lefschetz, Topology 20 (1981), no. 1, 15–51.
• [5] M. Letizia, The Abel-Jacobi mapping for the quartic threefold, Invent. Math. 75 (1984), no. 3, 477–492.
• [6] I. Shimada, On the cylinder homomorphisms of Fano complete intersections, J. Math. Soc. Japan 42 (1990), no. 4, 719–738.
• [7] I. Shimada, On the cylinder isomorphism associated to the family of lines on a hypersurface, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 37 (1990), no. 3, 703–719.
• [SGA 7], Groupes de monodromie en géométrie algébrique. II, Lecture Notes in Mathematics, vol. 340, Springer-Verlag, Berlin, 1973.