The equations of singular loci of ample divisors on (subvarieties of) abelian varieties

  • Luigi Lombardi Università degli studi di Roma Tor Vergata
  • Francesco Malaspina Politecnico di Torino
Keywords: Singular loci, Continuously global generation, Bundle of differential operators


In this paper we consider ideal sheaves associated to the singular loci of a divisor in a linear system |L| of an ample line bundle on a complex abelian variety. We prove an effective result on their (continuous) global generation, after suitable twists by powers of L. Moreover we show that similar results hold for subvarieties of a complex abelian variety.

Author Biographies

Luigi Lombardi, Università degli studi di Roma Tor Vergata
Dipartimento di Matematica
Via della Ricerca Scientifica, 1
00133 Roma
Francesco Malaspina, Politecnico di Torino
Dipartimento di Matematica
Corso Duca degli Abbruzzi, 24
10129 Torino