MOTIVES AND THE HODGE CONJECTURE FOR MODULI SPACES OF PAIRS

• Tipo: Artigo em Revista Científica Internacional
• Data: 2015

Autores

Munoz, V (Autor) Outra; Oliveira, AG (Autor) FCUP; Sanchez, J (Autor) Outra

Revista

Título: Asian Journal of Mathematics

Vol. 19

Páginas: 281-305

ISSN: 1093-6106

Editora: International Press of Boston, Inc.

Indexação

ISI Web of Knowledge - 2 Citações

Outras Informações

ID Authenticus: P-00A-CDC

Abstract (EN): Let C be a smooth projective curve of genus g >= 2 over C. Fix n >= 1, d is an element of Z. A pair (E, phi) over C consists of an algebraic vector bundle E of rank n and degree d over C and a section phi is an element of H-0(E). There is a concept of stability for pairs which depends on a real parameter tau. Let M-tau (n, d) be the moduli space of tau-polystable pairs of rank n and degree d over C. We prove that for a generic curve C, the moduli space M-tau (n, d) satisfies the Hodge Conjecture for n <= 4. For obtaining this, we prove first that M-tau (n, d) is motivated by C.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 25