TY - JOUR
T1 - A note on periods of Calabi–Yau fractional complete intersections
AU - Lee, Tsung Ju
N1 - Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2023/8
Y1 - 2023/8
N2 - We prove that the GKZ D -module MAβ arising from Calabi–Yau fractional complete intersections in toric varieties is complete, i.e., all the solutions to MAβ are period integrals. This particularly implies that MAβ is equivalent to the Picard–Fuchs system. As an application, we give explicit formulae of the period integrals of Calabi–Yau threefolds coming from double covers of P3 branched over eight hyperplanes in general position.
AB - We prove that the GKZ D -module MAβ arising from Calabi–Yau fractional complete intersections in toric varieties is complete, i.e., all the solutions to MAβ are period integrals. This particularly implies that MAβ is equivalent to the Picard–Fuchs system. As an application, we give explicit formulae of the period integrals of Calabi–Yau threefolds coming from double covers of P3 branched over eight hyperplanes in general position.
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U2 - 10.1007/s00209-023-03321-7
DO - 10.1007/s00209-023-03321-7
M3 - Article
AN - SCOPUS:85165273165
SN - 0025-5874
VL - 304
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
IS - 4
M1 - 60
ER -