TY - JOUR
T1 - Complete intersection Calabi–Yau manifolds with respect to homogeneous vector bundles on Grassmannians
AU - Inoue, Daisuke
AU - Ito, Atsushi
AU - Miura, Makoto
N1 - Funding Information:
The authors thank Professor Shinobu Hosono and Doctor Fumihiko Sanda for valuable discussions at weekly seminars and for various useful comments. The authors also thank the anonymous referees for providing a number of valuable comments and suggesting to simplify the arguments on the alternative description of No. 15, 17 and 18 in Section 6. A.?I.?was supported by the Grant-in-Aid for JSPS fellows, No. 26?1881. A part of this work was done when M.?M.?was supported by Frontiers of Mathematical Sciences and Physics at University of Tokyo. M.?M.?was also supported by Korea Institute for Advanced Study.
Publisher Copyright:
© 2018, Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2019/6/1
Y1 - 2019/6/1
N2 - Based on the method by Küchle (Math Z 218(4), 563–575, 1995), we give a procedure to list up all complete intersection Calabi–Yau manifolds with respect to direct sums of irreducible homogeneous vector bundles on Grassmannians for each dimension. In particular, we give a classification of such Calabi–Yau 3-folds and determine their topological invariants. We also give alternative descriptions for some of them.
AB - Based on the method by Küchle (Math Z 218(4), 563–575, 1995), we give a procedure to list up all complete intersection Calabi–Yau manifolds with respect to direct sums of irreducible homogeneous vector bundles on Grassmannians for each dimension. In particular, we give a classification of such Calabi–Yau 3-folds and determine their topological invariants. We also give alternative descriptions for some of them.
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U2 - 10.1007/s00209-018-2163-5
DO - 10.1007/s00209-018-2163-5
M3 - Article
AN - SCOPUS:85056718397
SN - 0025-5874
VL - 292
SP - 677
EP - 703
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
IS - 1-2
ER -