Pure and Applied Mathematics Quarterly
Volume 18 (2022)
Special Issue in Honor of Bernie Shiffman
Guest Editors: Yuan Yuan, Christopher Sogge, and Steven Morris Zelditch
Lines, conics, and all that
Pages: 101 – 176
This is a survey on the Fano schemes of linear spaces, conics, rational curves, and curves of higher genera in smooth projective hypersurfaces, complete intersections, Fano threefolds, on the related Abel–Jacobi mappings, etc.
line, conic, rational curve, Fano threefold, projective hypersurface, complete intersection, Fano scheme, Abel–Jacobi mapping
2010 Mathematics Subject Classification
Primary 14-02, 14H15, 14N10, 14Q10. Secondary 14N25.
The authors’ research was supported by the MIUR Excellence Department Project awarded to the Department of Mathematics, University of Rome Tor Vergata, CUP E83C18000100006.
Ciro Ciliberto is a member of GNSAGA of INdAM.
Received 19 February 2020
Accepted 23 March 2020
Published 10 February 2022