Details
| Original language | English |
|---|---|
| Article number | 1250108 |
| Number of pages | 31 |
| Journal | International Journal of Mathematics |
| Volume | 23 |
| Issue number | 10 |
| Publication status | Published - Oct 2012 |
Abstract
Keywords
- abelian fourfold, automorphism, Hilbert modular surface, Moduli space, Shimura variety, zeta function
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: International Journal of Mathematics, Vol. 23, No. 10, 1250108, 10.2012.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Two moduli spaces of abelian fourfolds with an automorphism of order five
AU - Van Geemen, Bert
AU - Schütt, Matthias
PY - 2012/10
Y1 - 2012/10
N2 - We find explicit projective models of a compact Shimura curve and of a (non-compact) surface which are the moduli spaces of principally polarized abelian fourfolds with an automorphism of order five. The surface has a 24-nodal canonical model in P 4 which is the complete intersection of two S 5-invariant cubics. It is dominated by a Hilbert modular surface and we give a modular interpretation for this. We also determine the L-series of these varieties as well as those of several modular covers of the Shimura curve
AB - We find explicit projective models of a compact Shimura curve and of a (non-compact) surface which are the moduli spaces of principally polarized abelian fourfolds with an automorphism of order five. The surface has a 24-nodal canonical model in P 4 which is the complete intersection of two S 5-invariant cubics. It is dominated by a Hilbert modular surface and we give a modular interpretation for this. We also determine the L-series of these varieties as well as those of several modular covers of the Shimura curve
KW - abelian fourfold
KW - automorphism
KW - Hilbert modular surface
KW - Moduli space
KW - Shimura variety
KW - zeta function
UR - http://www.scopus.com/inward/record.url?scp=84869439316&partnerID=8YFLogxK
U2 - 10.1142/S0129167X1250108X
DO - 10.1142/S0129167X1250108X
M3 - Article
AN - SCOPUS:84869439316
VL - 23
JO - International Journal of Mathematics
JF - International Journal of Mathematics
SN - 0129-167X
IS - 10
M1 - 1250108
ER -