Integral Structure for Simple Singularities
We compute the image of the Milnor lattice of an ADE singularity under a period map. We also prove that the Milnor latticecan be identified with an appropriate relative -group defined through the Berglund-Hübsch dual of the corresponding singularity.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2020 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/210767 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Integral Structure for Simple Singularities. Todor Milanov and Chenghan Zha. SIGMA 16 (2020), 081, 28 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862572018157748224 |
|---|---|
| author | Milanov, Todor Zha, Chenghan |
| author_facet | Milanov, Todor Zha, Chenghan |
| citation_txt | Integral Structure for Simple Singularities. Todor Milanov and Chenghan Zha. SIGMA 16 (2020), 081, 28 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We compute the image of the Milnor lattice of an ADE singularity under a period map. We also prove that the Milnor latticecan be identified with an appropriate relative -group defined through the Berglund-Hübsch dual of the corresponding singularity.
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| first_indexed | 2026-03-13T12:27:45Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210767 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-13T12:27:45Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Milanov, Todor Zha, Chenghan 2025-12-17T14:31:25Z 2020 Integral Structure for Simple Singularities. Todor Milanov and Chenghan Zha. SIGMA 16 (2020), 081, 28 pages 1815-0659 2020 Mathematics Subject Classification: 14D05; 32S30; 19L47 arXiv:2003.12820 https://nasplib.isofts.kiev.ua/handle/123456789/210767 https://doi.org/10.3842/SIGMA.2020.081 We compute the image of the Milnor lattice of an ADE singularity under a period map. We also prove that the Milnor latticecan be identified with an appropriate relative -group defined through the Berglund-Hübsch dual of the corresponding singularity. The work of T.M. is partially supported by JSPS Grant-in-Aid (Kiban C) 17K05193 and by the World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan. The work of C.Z. is supported by the JSPS DC1 program, including Grant-in-Aid, and was previously supported by the MEXT scholarship. We would like to thank the referees of our paper for pointing out several inaccuracies and useful suggestions. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Integral Structure for Simple Singularities Article published earlier |
| spellingShingle | Integral Structure for Simple Singularities Milanov, Todor Zha, Chenghan |
| title | Integral Structure for Simple Singularities |
| title_full | Integral Structure for Simple Singularities |
| title_fullStr | Integral Structure for Simple Singularities |
| title_full_unstemmed | Integral Structure for Simple Singularities |
| title_short | Integral Structure for Simple Singularities |
| title_sort | integral structure for simple singularities |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210767 |
| work_keys_str_mv | AT milanovtodor integralstructureforsimplesingularities AT zhachenghan integralstructureforsimplesingularities |