## Spiders and multiplicity sequences

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- by Shreeram S. Abhyankar and Ignacio Luengo PDF
- Proc. Amer. Math. Soc.
**141**(2013), 4071-4085 Request permission

## Abstract:

The spider principle is used for establishing a formula for a finite quadratic sequence which determines the multiplicity sequences of all the sprouts which are founded upon the given finite quadratic sequence. This formula is basic for the theories of curvettes and dicriticals.## References

- Shreeram Abhyankar,
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## Additional Information

**Shreeram S. Abhyankar**- Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
- Email: ram@cs.purdue.edu
**Ignacio Luengo**- Affiliation: Facultad de Matematicas, Universidad Complutense de Madrid, 28040 Madrid, Spain
- Email: iluengo@mat.ucm.es
- Received by editor(s): February 1, 2012
- Published electronically: August 30, 2013
- Additional Notes: The second author was partially supported by MTM2010-21740-C02-01
- Communicated by: Lev Borisov
- © Copyright 2013 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**141**(2013), 4071-4085 - MSC (2010): Primary 14A05
- DOI: https://doi.org/10.1090/S0002-9939-2013-12025-3
- MathSciNet review: 3105852