LINEAR SERIES ON GENERAL CURVES WITH PRESCRIBED INCIDENCE CONDITIONS-Reference-Cited by-同舟云学术

LINEAR SERIES ON GENERAL CURVES WITH PRESCRIBED INCIDENCE CONDITIONS

Published:2022-06-06 Issue: Volume: Page:1-21
ISSN:1474-7480
Container-title:Journal of the Institute of Mathematics of Jussieu
language:en
Short-container-title:J. Inst. Math. Jussieu

Author:

Farkas Gavril^ORCID,Lian Carl^ORCID

Abstract

Abstract Using degeneration and Schubert calculus, we consider the problem of computing the number of linear series of given degree d and dimension r on a general curve of genus g satisfying prescribed incidence conditions at n points. We determine these numbers completely for linear series of arbitrary dimension when d is sufficiently large, and for all d when either

$r=1$

$n=r+2$

. Our formulas generalise and give new proofs of recent results of Tevelev and of Cela, Pandharipande and Schmitt.

Funder

H2020 European Research Council

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference19 articles.

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3. On the variety of special linear systems on a general algebraic curve

4. Numero delle involuzioni razionali giacenti sopra una curva di dato genere, Atti Accad;Castelnuovo;Naz. Lincei Rend. Lincei Mat. Appl.,1889

5. [4] Cela, A. and Lian, C. , Generalized Tevelev degrees of ${\mathbb{P}}^1$ , 2021, arXiv:2111.05880.

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