A general notion of coherent systems

Alexander Schmitt ^[1]
1. [1] Universität Berlin
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 38, Nº 6, 2022, págs. 1783-1826
Idioma: inglés
DOI: 10.4171/RMI/1314
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Resumen
- We look at coherent systems for decorated vector bundles and propose a notion of semistability. In the special case of tensor powers, we will examine this notion more closely. In particular, we will construct moduli spaces with the help of geometric invariant theory. It is an interesting aspect that ampleness of the linearization in the geometric invariant theory construction yields a bound on the stability parameter for coherent systems