Linear free divisors and Frobenius manifolds
نویسندگان
چکیده
منابع مشابه
Linear Free Divisors
A free divisor D in C is linear if its module of logarithmic vector fields has a basis of global vector fields of degree 0. It is then defined by a homogeneous polynomial of degree n and its complement is an open orbit of an algebraic subgroup GD in Gln(C). The best known example is the normal crossing divisor. Many other such divisors arise, for instance, from quiver representations. We give a...
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We describe b-functions of linear free divisors and use these results to prove that the logarithmic comparison theorem holds for Koszul free reductive linear free divisors exactly if they are (strongly) Euler homogeneous.
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For an arbitrary Frobenius manifold a system of Virasoro constraints is constructed. In the semisimple case these constraints are proved to hold true in the genus one approximation. Particularly, the genus ≤ 1 Virasoro conjecture of T.Eguchi, K.Hori, M.Jinzenji, and C.-S.Xiong and of S.Katz is proved for smooth projective varieties having semisimple quantum cohomology.
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ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2009
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x09004217