In this paper we deal with polarizations on a nodal curve C with smooth components. Our aim is to study and characterize a class of polarizations, which we call “good”, for which depth one sheaves on C reflect some properties that hold for vector bundles on smooth curves. We will concentrate, in particular, on the relation between the w̲-stability of OC and the goodness of w̲. We prove that these two concepts agree when C is of compact type and we conjecture that the same should hold for all nodal curves.

Brivio, S., Favale, F. (2022). Nodal curves and polarizations with good properties. REVISTA MATEMATICA COMPLUTENSE, 35(3), 763-790 [10.1007/s13163-021-00404-z].

Nodal curves and polarizations with good properties

Brivio, S;Favale, F
2022

Abstract

In this paper we deal with polarizations on a nodal curve C with smooth components. Our aim is to study and characterize a class of polarizations, which we call “good”, for which depth one sheaves on C reflect some properties that hold for vector bundles on smooth curves. We will concentrate, in particular, on the relation between the w̲-stability of OC and the goodness of w̲. We prove that these two concepts agree when C is of compact type and we conjecture that the same should hold for all nodal curves.
Articolo in rivista - Articolo scientifico
Moduli spaces; Nodal curves; Polarizations; Stability;
English
19-ago-2021
2022
35
3
763
790
none
Brivio, S., Favale, F. (2022). Nodal curves and polarizations with good properties. REVISTA MATEMATICA COMPLUTENSE, 35(3), 763-790 [10.1007/s13163-021-00404-z].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/320585
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