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Online ISSN 1534-7486; Print ISSN 1056-3911
Corrigenda to “Rational curves on prime Fano threefolds of index $1$”
Authors:
Eric Jovinelly, Brian Lehmann and Sho Tanimoto
Journal:
J. Algebraic Geom. 34 (2025), 535-542
DOI:
https://doi.org/10.1090/jag/841
Published electronically:
January 8, 2025
Full-text PDF
Abstract | References | Additional Information
Abstract: The authors provide correct proofs of Theorems 7.4 and 7.6 of Brian Lehmann and Sho Tanimoto in “Rational curves on prime Fano threefolds of index 1” [J. Algebraic Geom. 30 (2021), 151–188].
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- V. A. Iskovskikh and Yu. G. Prokhorov, Fano varieties, Algebraic geometry, V, Encyclopaedia Math. Sci., vol. 47, Springer, Berlin, 1999, pp. 1–247. MR 1668579
- János Kollár and Shigefumi Mori, Birational geometry of algebraic varieties, Cambridge Tracts in Mathematics, vol. 134, Cambridge University Press, Cambridge, 1998. With the collaboration of C. H. Clemens and A. Corti; Translated from the 1998 Japanese original. MR 1658959, DOI 10.1017/CBO9780511662560
- Brian Lehmann and Sho Tanimoto, On exceptional sets in Manin’s conjecture, Res. Math. Sci. 6 (2019), no. 1, Paper No. 12, 41. MR 3893027, DOI 10.1007/s40687-018-0174-9
- Brian Lehmann and Sho Tanimoto, Rational curves on prime Fano threefolds of index 1, J. Algebraic Geom. 30 (2021), no. 1, 151–188. MR 4233180, DOI 10.1090/jag/751
- Brian Lehmann and Sho Tanimoto, Classifying sections of del Pezzo fibrations, I, J. Eur. Math. Soc. (JEMS) 26 (2024), no. 1, 289–354. MR 4705653, DOI 10.4171/jems/1363
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Additional Information
Eric Jovinelly
Affiliation:
Department of Mathematics, University of Illinois Chicago, Chicago, Illinois 60607
Address at time of publication:
Department of Mathematics, Brown University, Providence, Rhode Island 02912
MR Author ID:
1352567
Email:
eric_jovinelly@brown.edu
Brian Lehmann
Affiliation:
Department of Mathematics, Boston College, Chestnut Hill, Massachusetts 02467
MR Author ID:
977848
ORCID:
0000-0002-7837-8797
Email:
lehmannb@bc.edu
Sho Tanimoto
Affiliation:
Graduate School of Mathematics, Nagoya University, Furocho Chikusa-ku, Nagoya 464-8602, Japan
MR Author ID:
973697
ORCID:
0000-0002-1884-7934
Email:
sho.tanimoto@math.nagoya-u.ac.jp
Received by editor(s):
October 25, 2023
Received by editor(s) in revised form:
April 18, 2024, and June 17, 2024
Published electronically:
January 8, 2025
Additional Notes:
The first author was supported by an NSF postdoctoral research fellowship, DMS-2303335. The second author was supported by Simons Foundation grant Award Number 851129. The third author was partially supported by JST FOREST program Grant number JPMJFR212Z, by JSPS KAKENHI Grand-in-Aid (B) 23H01067, and by JSPS Bilateral Joint Research Projects Grant number JPJSBP120219935.
Article copyright:
© Copyright 2025
University Press, Inc.