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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Бібліографічні деталі
Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2020
Автори: Milanov, Todor, Zha, Chenghan
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут математики НАН України 2020
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/210767
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Integral Structure for Simple Singularities. Todor Milanov and Chenghan Zha. SIGMA 16 (2020), 081, 28 pages

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
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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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last_indexed 2026-03-13T12:27:45Z
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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