RT Journal Article
T1 Motives and the Hodge conjecture for moduli spaces of pairs
A1 Muñoz, Vicente
A1 Oliveira, André G.
A1 Sánchez Hernández, Jonathan
AB 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.
PB International Press
SN 1093-6106
YR 2015
FD 2015-04
LK https://hdl.handle.net/20.500.14352/24083
UL https://hdl.handle.net/20.500.14352/24083
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
NO FCT (Portugal)
NO Centro de Matematica da Universidade de Tras-os-Montes e Alto Douro
NO ITGP (Interactions of Low-Dimentional Topology and Geometry with Mathematical Physics), an ESF RNP
DS Docta Complutense
RD 14 dic 2025