On tangential deformations of homogeneous polynomials

Autor:	Wang, Zhenjian
Rok vydání:	2015
Předmět:	Mathematics - Algebraic Geometry Primary 14A25 Secondary 14C34 14J70
Druh dokumentu:	Working Paper
Popis:	The Jacobian ideal provides the set of infinitesimally trivial deformations for a homogeneous polynomial, or for the corresponding complex projective hypersurface. In this article, we investigate whether the associated linear deformation is indeed trivial, and show that the answer is no in a general situation. We also give a characterization of tangentially smoothable hypersurfaces with isolated singularities. Our results have applications in the local study of variations of projective hypersurfaces, complementing the global versions given by J. Carlson and P. Griffiths, R. Donagi and the author, and in the study of isotrivial linear systems on the projective space, showing that a general divisor does not belong to an isotrivial linear system of positive dimension. Comment: 16 pages. A major revision of the previous version is given
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1505.00615 Zobrazit plný text záznamu View this record from Arxiv