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 -