Geodesic
Limit Weierstrass schemes on stable curves with 2 irreducible components
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 12 (2001) no. 4, pp. 205-228

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

We are concerned with limits of Weierstrass points under degeneration of smooth curves to stable curves of non compact type, union of two irreducible smooth components meeting transversely at $m \ge 1$ points. The case $m = 1$ having already been treated by Eisenbud and Harris in [8], we analyze the situation for $m > 1$. 
@article{RLIN_2001_9_12_4_a1,
     author = {Coppens, Marc and Gatto, Letterio},
     title = {Limit {Weierstrass} schemes on stable curves with 2 irreducible components},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {205--228},
     publisher = {mathdoc},
     volume = {Ser. 9, 12},
     number = {4},
     year = {2001},
     zbl = {1072.14038},
     mrnumber = {MR1898462},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_2001_9_12_4_a1/}
}
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Coppens, Marc; Gatto, Letterio. Limit Weierstrass schemes on stable curves with 2 irreducible components. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 12 (2001) no. 4, pp. 205-228. http://geodesic.mathdoc.fr/item/RLIN_2001_9_12_4_a1/