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.
On the Pythagoras Numbers of Real Analytic Rings
✍ Scribed by José F Fernando
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 155 KB
- Volume
- 243
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
We show that the Pythagoras number of a real analytic ring of dimension 2 is finite, bounded by a function of the multiplicity and the codimension.
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