An algorithm for a lifted Massey triple product of a smooth projective plane curve
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- Title
- An algorithm for a lifted Massey triple product of a smooth projective plane curve
- Authors
- LEE, YOUNGGI; PARK, JEEHOON; PARK, JUNYEONG; YIM, JAEHYUN
- Date Issued
- 2020-09
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Abstract
- We provide an explicit algorithm to compute a lifted Massey triple product relative to a defining system for a smooth projective plane curve X defined by a homogeneous polynomial G((x) under bar) over a field. The main idea is to use the description (due to Carlson and Griffiths) of the cup product for H-1(X, C) in terms of the multiplications inside the Jacobian ring of G((x) under bar) and the Cech-deRham complex of X. Our algorithm gives a criterion whether a lifted Massey triple product vanishes or not in H-2(X) under a particular nontrivial defining system of the Massey triple product and thus can be viewed as a generalization of the vanishing criterion of the cup product in H-2(X) of Carlson and Griffiths. Based on our algorithm, we provide explicit numerical examples by running the computer program.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/104783
- DOI
- 10.1142/S0218196720500587
- ISSN
- 0218-1967
- Article Type
- Article
- Citation
- INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, vol. 30, no. 8, page. 1651 - 1669, 2020-09
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