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Exponents and freeness of 3-arrangements

Hold Date
2010-07-20 14:00〜2010-07-20 15:30
Seminar Room 3, Faculty of Mathematics building, Ito Campus
Object person
Takuro ABE(Kyoto Univ.)

summary:We consider special jumping lines of logarithmic derivation modules
of 3-arrangements of hyperplanes. Jumping lines of these types are related to
the exponents of 2-multiarrangements. Giving the theory on these exponents,
we consider a sufficient combinatorial condition for 3-arrangements to be free.
In other words, the splitting condition of the logarithmic derivation bundles to
split into the direct sum of line bundles in terms of Chern polynomials is given.