## Siegel modular variety |

in mathematics, a

**siegel modular variety**or**siegel moduli space**is an that parametrizes certain types ofalgebraic variety of a fixedabelian varieties . more precisely, siegel modular varieties are thedimension ofmoduli spaces of a fixed dimension. they are named afterprincipally polarized abelian varieties ,carl ludwig siegel ^{[2]}a 20th-century german mathematician who specialized in . he introducednumber theory ^{[2]}siegel modular varieties in a 1943 paper.^{[3]}siegel modular varieties are the most basic examples of

.shimura varieties ^{[4]}siegel modular varieties generalize to higher dimensions and play a central role in the theory ofmoduli spaces of algebraic curves , which generalize classicalsiegel modular forms to higher dimensions.modular forms ^{[1]}they also have applications to andblack hole entropy .conformal field theory ^{[5]}- construction
- properties
- applications
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In mathematics, a **Siegel modular variety** or **Siegel moduli space** is an ^{[2]} a 20th-century German mathematician who specialized in ^{[2]} Siegel modular varieties in a 1943 paper.^{[3]}

Siegel modular varieties are the most basic examples of ^{[4]} Siegel modular varieties generalize ^{[1]} They also have applications to ^{[5]}