Irreducibility of the moduli space of stable vector bundles of rank two and odd degree on a very general quintic surface

Autor: Nicole Mestrano, Carlos Simpson

The moduli space $M(c_2)$, of stable rank two vector bundles of degree one on a very general quintic surface $X\subset {\mathbb P}^3$, is irreducible for all $c_2\geq 4$ and empty otherwise.
Comment: Adds a review of initial cases

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18edcedc54a739a5adafa2badab2ba53
https://hal.archives-ouvertes.fr/hal-00788692v4/document

Moduli of sheaves

Autor: Carlos Simpson, Nicole Mestrano

Publikováno v: Development of Moduli Theory — Kyoto 2013, O. Fujino, S. Kondō, A. Moriwaki, M. Saito and K. Yoshioka, eds. (Tokyo: Mathematical Society of Japan, 2016)
Development of Moduli Theory---Kyoto 2013
Development of Moduli Theory---Kyoto 2013, 69, pp.77-172, 2016, Advanced Studies in Pure Mathematics

International audience; We survey classical and recent developments in the theory of moduli spaces of sheaves on projective varieties

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf0ac60568846c097653f7b9ad6cc773
https://projecteuclid.org/euclid.aspm/1538622430

Conjecture de Franchetta forte

Autor: Nicole Mestrano

Publikováno v: Inventiones Mathematicae. 87:365-376

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::18c8479aa6626424d236fbff631489d3
https://doi.org/10.1007/bf01389421