Ahmad, Shahid (2009) Poincare Series Associated to Milnor Algebras. PhD thesis, Govt. College University, Lahore.
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)|
|Deposited By:||Mr. Javed Memon|
|Deposited On:||19 Jul 2011 09:13|
|Last Modified:||19 Jul 2011 09:13|
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