منابع مشابه
Fundamental Groups of Symmetric Sextics
We study the moduli spaces and compute the fundamental groups of plane sextics of torus type with at least two type E6 singular points. As a simple application, we compute the fundamental groups of 125 other sextics, most of which
متن کاملFundamental Groups of Symmetric Sextics. Ii
We study the moduli spaces and compute the fundamental groups of plane sextics of torus type with the set of inner singularities 2A8 or A17. We also compute the fundamental groups of a number of other sextics, both of and not of torus type. The groups found are simplest possible, i.e., Z2 ∗Z3 and Z6, respectively.
متن کاملIrreducible Plane Sextics with Large Fundamental Groups
We compute the fundamental group of the complement of each irreducible sextic of weight eight or nine (in a sense, the largest groups for irreducible sextics), as well as of 169 of their derivatives (both of and not of torus type). We also give a detailed geometric description of sextics of weight eight and nine and of their moduli spaces and compute their Alexander modules; the latter are show...
متن کاملFundamental Group of Sextics of Torus Type
We show that the fundamental group of the complement of any irreducible tame torus sextics in P is isomorphic to Z2 ∗ Z3 except one class. The exceptional class has the configuration of the singularities {C3,9, 3A2} and the fundamental group is bigger than Z2 ∗ Z3. In fact, the Alexander polynomial is given by (t 2 − t + 1). For the proof, we first reduce the assertion to maximal curves and the...
متن کاملOn Irreducible Sextics with Non-abelian Fundamental Group
We calculate the fundamental groups π = π1(P rB) for all irreducible plane sextics B ⊂ P2 with simple singularities for which π is known to admit a dihedral quotient D10. All groups found are shown to be finite, two of them being of large order: 960 and 21600.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 2008
ISSN: 2156-2261
DOI: 10.1215/kjm/1250271318