Limit Weierstrass schemes on stable curves with 2 irreducible components

Marc Coppens; Letterio Gatto

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (2001)

  • Volume: 12, Issue: 4, page 205-228
  • ISSN: 1120-6330

Abstract

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

How to cite

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Coppens, Marc, and 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 12.4 (2001): 205-228. <http://eudml.org/doc/252357>.

@article{Coppens2001,
abstract = {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 $m > 1$.},
author = {Coppens, Marc, Gatto, Letterio},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Stable curves of non compact type; Limits of Weierstrass points on reducible curves; Limit Weierstraßschemes; stable curves of non compact type; limits of Weierstrass points on reducible curves},
language = {eng},
month = {12},
number = {4},
pages = {205-228},
publisher = {Accademia Nazionale dei Lincei},
title = {Limit Weierstrass schemes on stable curves with 2 irreducible components},
url = {http://eudml.org/doc/252357},
volume = {12},
year = {2001},
}

TY - JOUR
AU - Coppens, Marc
AU - Gatto, Letterio
TI - Limit Weierstrass schemes on stable curves with 2 irreducible components
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 2001/12//
PB - Accademia Nazionale dei Lincei
VL - 12
IS - 4
SP - 205
EP - 228
AB - 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 $m > 1$.
LA - eng
KW - Stable curves of non compact type; Limits of Weierstrass points on reducible curves; Limit Weierstraßschemes; stable curves of non compact type; limits of Weierstrass points on reducible curves
UR - http://eudml.org/doc/252357
ER -

References

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