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On the modularity of rigid Calabi−Yau threefolds: epilogue

✍ Scribed by L. Dieulefait

Publisher
Springer US
Year
2010
Tongue
English
Weight
520 KB
Volume
171
Category
Article
ISSN
1573-8795

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📜 SIMILAR VOLUMES

The L-series of Certain Rigid Calabi–Yau
The L-series of Certain Rigid Calabi–Yau Threefolds
✍ H.A Verrill 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 274 KB

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.