The tale begins with the discovery of a body, when an artist named Eva Magnus is out walking along the river with her daughter. Oddly, Eva pretends (to her daughter) to be calling the police while actually doing nothing to report the discovery.
As Sejer works to find the identity of the dead man in the river, he comes across another case with certain overlapping elements, concerning the death of a woman named Maja. So we have two deaths and a single mother and artist who is acting guilty--most of the novel is occupied in bringing to light the connections among these elements, first by following Sejer's investigation, alternating with Eva's daily life as a painter and divorced mother who is suddenly and inexplicably able to pay her past-due bills.
Sejer pays several visits to Eva, resulting ultimately in a long flashback to a time when the two murder victims were still alive and Eva was struggling to get by. The flashback is told in a third-person narrative, but it is set into the novel as her story, as told to Sejer. Fairly early in that narrative, the picture begins to come into focus for the reader, but Fossum is very good at keeping us engaged, as things become clear--and also very good at upsetting our assumptions after we once again join Sejer in the "present" of the novel.
Eva's Eye must have been a very auspicious beginning for the series, for those able to see it when it came out. There are some details of daily life that date the story, but Fossum's concern is with the characters, whose lives and options are fully contemporary. She is particularly apt in her portrayal of Eva, both as a mother and an artist who is convinced (against all evidence) that she is a great artist (a hubris that seems to be required for anyone to continue in that calling). Black Seconds remains my favorite of the Sejer novels so far, but I would currently rank Eva's Eye a close second.