Ahmad, Shahid (2009) *Poincare Series Associated to Milnor Algebras.* PhD thesis, Govt. College University, Lahore.

HTML 11Kb |

## Abstract

Let ƒ be a homogenous polynomial with complex coefficients. Let M (ƒ) denotes the corresponding Milnor algebra, and V (ƒ) the hypersurface defined by the equation ƒ=0 in the complex projective space. The algebra M (ƒ) is a graded C-algebra. The aim of this Thesis is to determine the Poincare series of the Milnor algebra M (ƒ) in terms of the geometry of the hypersurface V (ƒ). The result is classically known for the case when V (ƒ) is smooth. The goal of this research is to discuss the case when V (ƒ) has only isolated singularities. The main new results are Theorem 1.6.4 and Theorem 3.0.2.

Item Type: | Thesis (PhD) |
---|---|

Uncontrolled Keywords: | Poincare, Series, Associated, Milnor, Algebras, complex, coefficients, geometry, hypersurface |

Subjects: | Physical Sciences (f) > Mathematics(f5) |

ID Code: | 6699 |

Deposited By: | Mr. Javed Memon |

Deposited On: | 19 Jul 2011 09:13 |

Last Modified: | 19 Jul 2011 09:13 |

Repository Staff Only: item control page