Motives and the hodge conjecture for moduli spaces of pairs

• Type: Article in International Scientific Journal
• Date: 2015

Authors

Muñoz, V (Author) Other; Oliveira, AG (Author) FCUP; Sánchez, J (Author) Other

Journal

Title: Asian Journal of Mathematics

Vol. 19

Pages: 281-306

ISSN: 1093-6106

Publisher: International Press of Boston, Inc.

Indexing

Scopus - 2 Citations

Other information

Authenticus ID: P-00K-1EK

DOI: 10.4310/ajm.2015.v19.n2.a5

Abstract (EN): Let C be a smooth projective curve of genus g ¿ 2 over C. Fix n ¿ 1, d ¿ Z. A pair (E, ¿) over C consists of an algebraic vector bundle E of rank n and degree d over C and a section ¿ ¿ H0(E). There is a concept of stability for pairs which depends on a real parameter ¿. Let M¿ (n, d) be the moduli space of ¿-polystable pairs of rank n and degree d over C. We prove that for a generic curve C, the moduli space M¿ (n, d) satisfies the Hodge Conjecture for n ¿ 4. For obtaining this, we prove first that M¿ (n, d) is motivated by C. © 2015 International Press.

Language: English

Type (Professor's evaluation): Scientific