2026-04-17T15:02:02Zhttps://recercat.cat/oai/requestoai:recercat.cat:2445/2206562025-12-05T09:58:18Zcom_2072_1057col_2072_478917col_2072_478920
Ein–Lazarsfeld–Mustopa conjecture for the blow-up of a projective space
Miró-Roig, Rosa M. (Rosa Maria)
Salat Moltó, Martí
Àlgebra commutativa
Superfícies algebraiques
Geometria algebraica
Varietats algebraiques
Commutative algebra
Algebraic surfaces
Algebraic geometry
Algebraic varieties
We solve the Ein-Lazarsfeld-Mustopa conjecture for the blow up of a projective space along a linear subspace. More precisely, let $X$ be the blow up of $\mathbb{P}^n$ at a linear subspace and let $L$ be any ample line bundle on $X$. We show that the syzygy bundle $M_L$ defined as the kernel of the evalution map $H^0(X, L) \otimes \mathcal{O}_X \rightarrow L$ is $L$-stable. In the last part of this note we focus on the rigidness of $M_L$ to study the local shape of the moduli space around the point $\left[M_L\right]$.
2025-04-28T07:17:01Z
2025-04-28T07:17:01Z
2023-01-18
2025-04-28T07:17:01Z
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
0373-3114
https://hdl.handle.net/2445/220656
743642
eng
Reproducció del document publicat a: https://doi.org/10.1007/s10231-023-01359-2
Annali di Matematica Pura ed Applicata, 2023, vol. 203, num.1, p. 221-233
https://doi.org/10.1007/s10231-023-01359-2
cc by (c) Rosa M. Miró-Roig et al., 2023
http://creativecommons.org/licenses/by/3.0/es/
info:eu-repo/semantics/openAccess
13 p.
application/pdf
Springer Verlag
Articles publicats en revistes (Matemàtiques i Informàtica)