Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (6)
- Authors
- Antipova, Irina A.; Mikhalkin, Evgeny N.; Tsikh, Avgust K.
- Contact information
- Antipova, Irina A.: Institute of Space and Information Technologies Siberian Federal University Kirensky, 26, Krasnoyarsk, 660074 Russia; ; Mikhalkin, Evgeny N.: Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia; ; Tsikh, Avgust K.: Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia;
- Keywords
- singular point; A-discriminant; logarithmic Gauss map
- Abstract
We consider a complex hypersurface V given by an algebraic equation in k unknowns, where the set A Zk of monomial exponents is fixed, and all the coefficients are variable. In other words, we consider a family of hypersurfaces in (C n 0)k parametrized by its coefficients a = (a ) 2A 2 CA. We prove that when A generates the lattice Zk as a group, then over the set of regular points a in the A-discriminantal set, the singular points of V admit a rational expression in a
- Pages
- 670–679
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/108413
Journal of Siberian Federal University. Mathematics & Physics / Singular Points of Complex Algebraic Hypersurfaces
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