Algebraic invariants in classification of 6-points in degenerations of surfaces

Meirav Amram, Rebecca Lehman, Robert Shwartz, M. Teicher

Research output: Contribution to journalArticlepeer-review


In this paper, we find isomorphisms between certain invariant groups corresponding to different numerations on 6-points of surfaces. There is a combinatorial correspondence between four 6-point orderings obtained by exchanging two opposite labels. We derive isomorphisms between certain invariant quotient groups obtained from these 6-point numerations. This is a preliminary step towards an ultimate classification of 6-points invariants, and perhaps towards a proof that the invariant groups, or at least certain derived invariants, are independent of the arbitrary choice of the numeration.
Original languageAmerican English
Pages (from-to)14-49
JournalDifferential Geometry-Dynamical Systems
StatePublished - 2014


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