Geodesic
Matrix Factorizations and Curves in $\mathbb{P}^4$
Documenta mathematica, Tome 23 (2018), pp. 1895-1924
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

Let C be a curve in P4 and X be a hypersurface containing it. We show how it is possible to construct a matrix factorization on X from the pair (C,X) and, conversely, how a matrix factorization on X leads to curves lying on X. We use this correspondence to prove the unirationality of the Hurwitz space H12,8​ and the uniruledness of the Brill-Noether space W13,91​. Several unirational families of curves of genus 16≤g≤20 in P4 are also exhibited.
DOI : 10.4171/dm/663
Classification : 13D02, 14H10, 14M20, 14Q05
Mots-clés : matrix factorization, moduli of curves, unirationality, Hurwitz space 
@article{10_4171_dm_663,
     author = {Frank-Olaf Schreyer and Fabio Tanturri},
     title = {Matrix {Factorizations} and {Curves} in $\mathbb{P}^4$},
     journal = {Documenta mathematica},
     pages = {1895--1924},
     year = {2018},
     volume = {23},
     doi = {10.4171/dm/663},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/663/}
}
TY  - JOUR
AU  - Frank-Olaf Schreyer
AU  - Fabio Tanturri
TI  - Matrix Factorizations and Curves in $\mathbb{P}^4$
JO  - Documenta mathematica
PY  - 2018
SP  - 1895
EP  - 1924
VL  - 23
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/663/
DO  - 10.4171/dm/663
ID  - 10_4171_dm_663
ER  - 
%0 Journal Article
%A Frank-Olaf Schreyer
%A Fabio Tanturri
%T Matrix Factorizations and Curves in $\mathbb{P}^4$
%J Documenta mathematica
%D 2018
%P 1895-1924
%V 23
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/663/
%R 10.4171/dm/663
%F 10_4171_dm_663
Frank-Olaf Schreyer; Fabio Tanturri. Matrix Factorizations and Curves in $\mathbb{P}^4$. Documenta mathematica, Tome 23 (2018), pp. 1895-1924. doi: 10.4171/dm/663

Cité par Sources :