TY - JOUR
T1 - Cubic fourfolds fibered in sextic del pezzo surfaces
AU - Addington, Nicolas
AU - Hassett, Brendan
AU - Tschinkel, Yuri
AU - Várilly-Alvarado, Anthony
N1 - Funding Information:
Research of the second author supported in part by NSF grant DMS-155514; research of the fourth author supported by NSF grant DMS-1352291.
Funding Information:
Manuscript received September 8, 2016; revised February 28, 2019. Research of the second author supported in part by NSF grant DMS-155514; research of the fourth author supported by NSF grant DMS-1352291. American Journal of Mathematics 141 (2019), 1479–1500. ©c 2019 by Johns Hopkins University Press.
Publisher Copyright:
© 2019 by Johns Hopkins University Press.
PY - 2019/12
Y1 - 2019/12
N2 - We exhibit new examples of rational cubic fourfolds, parametrized by a countably infinite union of codimension-two subvarieties in the moduli space. Our examples are fibered in sextic del Pezzo surfaces over the projective plane; they are rational whenever the fibration has a rational section.
AB - We exhibit new examples of rational cubic fourfolds, parametrized by a countably infinite union of codimension-two subvarieties in the moduli space. Our examples are fibered in sextic del Pezzo surfaces over the projective plane; they are rational whenever the fibration has a rational section.
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U2 - 10.1353/ajm.2019.0041
DO - 10.1353/ajm.2019.0041
M3 - Article
AN - SCOPUS:85075461067
VL - 141
SP - 1479
EP - 1500
JO - American Journal of Mathematics
JF - American Journal of Mathematics
SN - 0002-9327
IS - 6
ER -