MOTIVES AND THE HODGE CONJECTURE FOR MODULI SPACES OF PAIRS

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

Authors

Munoz, V (Author) Other; Oliveira, AG (Author) FCUP; Sanchez, J (Author) Other

Journal

Title: Asian Journal of Mathematics

Vol. 19

Pages: 281-305

ISSN: 1093-6106

Publisher: International Press of Boston, Inc.

Indexing

ISI Web of Knowledge - 2 Citations

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 25