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 -