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Regular version of the site
Of all publications in the section: 3
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Article
Lvovsky S. Manuscripta Mathematica. 1995. Vol. 88.
Added: Jun 11, 2010
Article
Serge Lvovski. Manuscripta Mathematica. 2014. Vol. 145. P. 235-242.

We show that using an idea from a paper by Van de Ven one may obtain a simple proof of Zak's classification of smooth projective surfaces with zero vanishing cycles. This method of proof allows one to extend Zak's theorem to the case of finite characteristic.

Added: Oct 14, 2014
Article
Gusein-Zade S. Manuscripta Mathematica. 2018. Vol. 155. No. 3-4. P. 335-353.

For a germ of a quasihomogeneous function with an isolated critical point at the origin invariant with respect to an appropriate action of a finite abelian group, H. Fan, T. Jarvis, and Y. Ruan defined the so-called quantum cohomology group. It is considered as the main object of the quantum singularity theory (FJRW-theory). We define orbifold versions of the monodromy operator on the quantum (co)homology group, of the Milnor lattice, of the Seifert form and of the intersection form. We also describe some symmetry properties of invariants of invertible polynomials refining the known ones.

Added: Oct 27, 2020