Limit Weierstrass schemes on stable curves with 2 irreducible components

Coppens, Marc; Gatto, Letterio

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 12 (2001), p. 205-228 / Harvested from Biblioteca Digitale Italiana di Matematica

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Abstract
Résumé

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 $m \geq 1$ points. The case $m = 1$ having already been treated by Eisenbud and Harris in [8], we analyze the situation for $m > 1$ .

Si studiano limiti di punti di Weierstrass per degenerazioni di curve lisce a curve stabili di tipo non compatto, unione di due componenti lisce irriducibili che si intersecano trasversalmente in $m \geq 1$ punti. Il caso $m = 1$ , essendo di tipo compatto, è già stato trattato da Eisenbud e Harris in [8], sicché nella presente Nota verrà analizzata la situazione per $m > 1$ .

Publié le : 2001-12-01

MR 1898462 | Zbl 1072.14038

@article{RLIN_2001_9_12_4_205_0,
     author = {Marc Coppens and Letterio Gatto},
     title = {Limit Weierstrass schemes on stable curves with 2 irreducible components},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {12},
     year = {2001},
     pages = {205-228},
     zbl = {1072.14038},
     mrnumber = {1898462},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_2001_9_12_4_205_0}
}

Coppens, Marc; Gatto, Letterio. Limit Weierstrass schemes on stable curves with 2 irreducible components. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 12 (2001) pp. 205-228. http://gdmltest.u-ga.fr/item/RLIN_2001_9_12_4_205_0/

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