TY - JOUR

T1 - Algebraic invariants in classification of 6-points in degenerations of surfaces

AU - Amram, Meirav

AU - Lehman, Rebecca

AU - Shwartz, Robert

AU - Teicher, M.

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

UR - http://vectron.mathem.pub.ro/dgds/v16/D16-am-887.pdf

M3 - Article

VL - 16

SP - 14

EP - 49

JO - Differential Geometry-Dynamical Systems

JF - Differential Geometry-Dynamical Systems

ER -