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Modularity of a Certain Calabi-Yau Threefold

✍ Scribed by Scott Ahlgren; Ken Ono


Publisher
Springer Vienna
Year
2000
Tongue
English
Weight
117 KB
Volume
129
Category
Article
ISSN
0026-9255

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The L-series of Certain Rigid Calabi–Yau
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The L-series of two Calabi Yau three-folds are found. In each case it is shown that the middle cohomology has dimension 2, and that (up to Euler factors at primes of bad reduction) the Mellin transform of the L-series of the middle cohomology is given by a modular form of weight four.

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