Using elementary techniques of linear algebra in relation with Gram matrices, we bound the Pythagoras number of a real irreducible algebroid curve by its multiplicity.
Tjurina Number of a Generic Irreducible Curve Singularity
β Scribed by Rosa Peraire
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 495 KB
- Volume
- 196
- Category
- Article
- ISSN
- 0021-8693
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β¦ Synopsis
Γ 4 of H rJ, which is easily determined, give a basis of β«ήβ¬ x, y rJ.
0
In case of a single characteristic exponent our algorithm is equivalent w x but not equal to the algorithm of 2 .
An implementation of our algorithm in a Mathematica package has been written by J. Elias and the author. The package is available, on request, from the author.
for certain p, 1 F pk. We have to show that i q s g n .
Ε½ p . to prove that s g n . On the other hand as i q sm , i
Ε½ p . F i-m then i q s g n and i g n , hence s g n , as
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