We consider a pair (H, I) where I is an involutive ideal of a Poisson algebra and H is an element of I. We show that if I defines a "2n-gon singularity" then, under arithmetical conditions on H, any deformation of H can be integrated as a deformation of (H, I).
机构:
Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
Univ Freiburg, Math Inst, D-79104 Freiburg, GermanyNanjing Univ, Dept Math, Nanjing 210093, Peoples R China
Cui XiaoJun
Zhao Lei
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机构:
IMCCE, ASD, F-75014 Paris, France
Univ Paris 07, Dept Math, F-75013 Paris, FranceNanjing Univ, Dept Math, Nanjing 210093, Peoples R China
机构:
Capital Normal Univ, Dept Math, Beijing 100048, Peoples R China
Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USACapital Normal Univ, Dept Math, Beijing 100048, Peoples R China
Rong, Xiaochun
Zhang, Yuguang
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机构:
Capital Normal Univ, Dept Math, Beijing 100048, Peoples R ChinaCapital Normal Univ, Dept Math, Beijing 100048, Peoples R China
机构:
Capital Normal Univ, Dept Math, Beijing 100048, Peoples R China
Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USACapital Normal Univ, Dept Math, Beijing 100048, Peoples R China
Liu, Kefeng
Xia, Wei
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机构:
Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Zhejiang, Peoples R ChinaCapital Normal Univ, Dept Math, Beijing 100048, Peoples R China
机构:
Department of Mathematics,Capital Normal University
Department of Mathematics,University of California at Los AngelesDepartment of Mathematics,Capital Normal University
Kefeng Liu
Wei Xia
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机构:
Center of Mathematical Sciences,Zhejiang UniversityDepartment of Mathematics,Capital Normal University