Mixed cusp forms and holomorphic forms on elliptic varieties

Min Ho Lee

Vol. 132 (1988), No. 2, 363–370

DOI: 10.2140/pjm.1988.132.363

Abstract

Let E^m be an elliptic variety. We define mixed cusp forms associated to E^m and prove that the space of mixed cusp forms coincides with the space of holomorphic (m + 1)-forms on E^m. We also determine the geometric genus of E^m under certain conditions.

Mathematical Subject Classification 2000

Primary: 11F12

Secondary: 14D20, 14J27

Milestones

Received: 20 February 1987

Published: 1 April 1988