Evento
Descrizione:
The maximum genus problem for locally Cohen- Macaulay curves in projective space P3 asks for the maximum arithmetic genus P(d,s) of a degree d curve not contained in a surface of degree s-1. Beorchia found an upper bound for P(d,s) that is conjecturally sharp; she also remarked that sharpness would follow if one could prove existence of certain primitive multiple lines with good cohomology. In this seminar I will explain what are primitive multiple lines with good cohomology and speculate on their construction, reporting on some results obtained jointly with Paolo Lella in the framework of an ongoing research project with Beorchia and Lella.