Compactifications of Moduli of Abelian Varieties: an Introduction

نویسنده

  • MARTIN OLSSON
چکیده

In this expository paper, we survey the various approaches to compactifying moduli stacks of polarized abelian varieties. To motivate the different approaches to compactifying, we first discuss three different points of view of the moduli stacks themselves. Then we explain how each point of view leads to a different compactification. Throughout we emphasize maximal degenerations which capture much of the essence of the theory without many of the technicalities.

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تاریخ انتشار 2010