An inequality conjecture and a weak Torelli-type theorem for isolated complete intersection singularities

Naveed Hussain; Stephen S.T. Yau; Huaiqing Zuo

doi:10.1016/j.geomphys.2022.104542

An inequality conjecture and a weak Torelli-type theorem for isolated complete intersection singularities

Naveed Hussain, Stephen S.T. Yau^*, Huaiqing Zuo

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this paper, we propose an inequality conjecture for the dimensions of derivation Lie algebras associated to isolated complete intersection singularities. We verify this conjecture for simple and unimodal isolated complete intersection singularities. We also construct several new one-parameter families of solvable Lie algebras from T₁₀, R₉, U₁₁, V₁₀, Y₁₁, and M₁₁ singularities and show that the weak Torelli-type theorem holds.

Original language	English
Article number	104542
Journal	Journal of Geometry and Physics
Volume	178
DOIs	https://doi.org/10.1016/j.geomphys.2022.104542
State	Published - Aug 2022
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2022 Elsevier B.V.

Keywords

Derivations
Hessian algebra
Isolated singularity
Weighted homogeneous

ASJC Scopus subject areas

Mathematical Physics
General Physics and Astronomy
Geometry and Topology

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10.1016/j.geomphys.2022.104542

Cite this

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title = "An inequality conjecture and a weak Torelli-type theorem for isolated complete intersection singularities",

abstract = "In this paper, we propose an inequality conjecture for the dimensions of derivation Lie algebras associated to isolated complete intersection singularities. We verify this conjecture for simple and unimodal isolated complete intersection singularities. We also construct several new one-parameter families of solvable Lie algebras from T10, R9, U11, V10, Y11, and M11 singularities and show that the weak Torelli-type theorem holds.",

keywords = "Derivations, Hessian algebra, Isolated singularity, Weighted homogeneous",

author = "Naveed Hussain and Yau, \{Stephen S.T.\} and Huaiqing Zuo",

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doi = "10.1016/j.geomphys.2022.104542",

language = "English",

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AU - Hussain, Naveed

AU - Yau, Stephen S.T.

AU - Zuo, Huaiqing

PY - 2022/8

Y1 - 2022/8

N2 - In this paper, we propose an inequality conjecture for the dimensions of derivation Lie algebras associated to isolated complete intersection singularities. We verify this conjecture for simple and unimodal isolated complete intersection singularities. We also construct several new one-parameter families of solvable Lie algebras from T10, R9, U11, V10, Y11, and M11 singularities and show that the weak Torelli-type theorem holds.

AB - In this paper, we propose an inequality conjecture for the dimensions of derivation Lie algebras associated to isolated complete intersection singularities. We verify this conjecture for simple and unimodal isolated complete intersection singularities. We also construct several new one-parameter families of solvable Lie algebras from T10, R9, U11, V10, Y11, and M11 singularities and show that the weak Torelli-type theorem holds.

KW - Derivations

KW - Hessian algebra

KW - Isolated singularity

KW - Weighted homogeneous

UR - https://www.scopus.com/pages/publications/85130338796

U2 - 10.1016/j.geomphys.2022.104542

DO - 10.1016/j.geomphys.2022.104542

M3 - Article

AN - SCOPUS:85130338796

SN - 0393-0440

VL - 178

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

M1 - 104542

ER -

An inequality conjecture and a weak Torelli-type theorem for isolated complete intersection singularities

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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