Moduli spaces of stable sheaves over quasi-polarized surfaces, and the relative Strange Duality morphism
Épijournal de Géométrie Algébrique, Tome 5 (2021)
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The main result of the present paper is a construction of relative moduli spaces of stable sheaves over the stack of quasipolarized projective surfaces. For this, we use the theory of good moduli spaces, whose study was initiated by Alper. As a corollary, we extend the relative Strange Duality morphism to the locus of quasipolarized K3 surfaces.
@article{10_46298_epiga_2021_7174,
author = {Makarova, Svetlana},
title = {Moduli spaces of stable sheaves over quasi-polarized surfaces, and the relative {Strange} {Duality} morphism},
journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
publisher = {mathdoc},
volume = {5},
year = {2021},
doi = {10.46298/epiga.2021.7174},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2021.7174/}
}
TY - JOUR AU - Makarova, Svetlana TI - Moduli spaces of stable sheaves over quasi-polarized surfaces, and the relative Strange Duality morphism JO - Épijournal de Géométrie Algébrique PY - 2021 VL - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.46298/epiga.2021.7174/ DO - 10.46298/epiga.2021.7174 LA - en ID - 10_46298_epiga_2021_7174 ER -
%0 Journal Article %A Makarova, Svetlana %T Moduli spaces of stable sheaves over quasi-polarized surfaces, and the relative Strange Duality morphism %J Épijournal de Géométrie Algébrique %D 2021 %V 5 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.46298/epiga.2021.7174/ %R 10.46298/epiga.2021.7174 %G en %F 10_46298_epiga_2021_7174
Makarova, Svetlana. Moduli spaces of stable sheaves over quasi-polarized surfaces, and the relative Strange Duality morphism. Épijournal de Géométrie Algébrique, Tome 5 (2021). doi: 10.46298/epiga.2021.7174
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