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Moduli of distributions via singular schemes

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Autor(es):
Correa, Mauricio ; Jardim, Marcos ; Muniz, Alan
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: MATHEMATISCHE ZEITSCHRIFT; v. 301, n. 3, p. 23-pg., 2022-03-05.
Resumo

Let X be a smooth projective variety. We show that the map that sends a codimension one distribution on X to its singular scheme is a morphism from the moduli space of distributions into a Hilbert scheme. We describe its fibers and, when X = P-n, compute them via syzygies. As an application, we describe the moduli spaces of degree 1 distributions on P-3. We also give the minimal graded free resolution for the ideal of the singular scheme of a generic distribution on P-3. (AU)

Processo FAPESP: 18/21391-1 - Teoria de calibre e geometria algébrica
Beneficiário:Marcos Benevenuto Jardim
Modalidade de apoio: Auxílio à Pesquisa - Temático