On the converse theorem for Borcherds products

A. Weil , Sur certaines groupes d’operateurs unitaires, Acta Math. 111

1965

Earlier work this paper cites.

V. V. Nikulin , Integer symmetric bilinear forms and some of their geometric applications. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 43

1980

Earlier work this paper cites.

S. Kudla and J. Millson

1990

Earlier work this paper cites.

A. Knapp , Elliptic Curves, Princeton University Press (1992)

1992

Earlier work this paper cites.

R. E. Borcherds , Automorphic forms on O s + 2 , 2 ⁡ ( ℝ ) \operatorname{O}_{s+2,2}(\mathbb{R}) and infinite products, Invent. Math. 120

1995

Earlier work this paper cites.

B. van Geemen and N. O. Nygaard

1995

Earlier work this paper cites.

S. Kudla , Algebraic cycles on Shimura varieties of orthogonal type. Duke Math. J. 86

1997

Earlier work this paper cites.

R. E. Borcherds , Automorphic forms with singularities on Grassmannians, Invent. Math. 132

1998

Earlier work this paper cites.

V. Gritsenko and V. Nikulin

1998

Cited alongside, same era.

R. Borcherds , The Gross-Kohnen-Zagier theorem in higher dimensions, Duke Math. J. 97

1999

Cited alongside, same era.

J. H. Bruinier and E. Freitag

2001

Cited alongside, same era.

J. H. Bruinier , Borcherds products on O ⁡ ( 2 , l ) \operatorname{O}(2,l) and Chern classes of Heegner divisors, Springer Lecture Notes in Mathematics 1780

2002

Cited alongside, same era.

J. H. Bruinier , On the rank of Picard groups of modular varieties attached to orthogonal groups, Compos. Math. 133

2002

Cited alongside, same era.

A. Barnard , The Singular Theta Correspondence, Lorentzian Lattices and Borcherds-Kac-Moody Algebras, Ph.D. Dissertation, U.C. Berkeley (2003). arXiv:math/0307102v1 [math.GR]

N. R. Scheithauer , On the classification of automorphic products and generalized Kac-Moody algebras, Invent. Math. 164

2006

Later among the works it cites.

J. H. Bruinier and T. Yang , Faltings heights of CM cycles and derivatives of L L -functions, Invent. Math. 177

2009

Later among the works it cites.

J. H. Bruinier and J. Funke

2010

Later among the works it cites.

J. H. Bruinier and K. Ono , Heegner divisors, L L -functions and harmonic weak Maass forms, Annals of Math. 172

2010

Later among the works it cites.

E. Freitag and R. Salvati Manni

2010

Later among the works it cites.

S. Cynck, E. Freitag and R. Salvati Manni

2011

Later among the works it cites.