## Limit Weierstrass points on nodal reducible curves

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- by Eduardo Esteves and Parham Salehyan PDF
- Trans. Amer. Math. Soc.
**359**(2007), 5035-5056 Request permission

## Abstract:

In the 1980s D. Eisenbud and J. Harris posed the following question: “What are the limits of Weierstrass points in families of curves degenerating to stable curves*not*of compact type?” In the present article, we give a partial answer to this question. We consider the case where the limit curve has components intersecting at points in general position and where the degeneration occurs along a general direction. For this case we compute the limits of Weierstrass points of any order. However, for the usual Weierstrass points, of order one, we need to suppose that all of the components of the limit curve intersect each other.

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## Additional Information

**Eduardo Esteves**- Affiliation: Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina, 110, 22460-320 Rio de Janeiro RJ, Brazil
- Email: esteves@impa.br
**Parham Salehyan**- Affiliation: Departament of Mathematics, IBILCE, Universidade Estadual Paulista (UNESP), Rua Cristóvão Colombo, 2265, 15054-000 São José do Rio Preto SP, Brazil
- Email: parham@ibilce.unesp.br
- Received by editor(s): April 4, 2005
- Received by editor(s) in revised form: September 19, 2005
- Published electronically: April 16, 2007
- Additional Notes: The first author was supported by CNPq, Proc. 300004/95-8

The second author was supported by CNPq, Proc. 142643/98-0 and 150258/03-8 - © Copyright 2007 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**359**(2007), 5035-5056 - MSC (2000): Primary 14H10, 14H55
- DOI: https://doi.org/10.1090/S0002-9947-07-04193-1
- MathSciNet review: 2320659