Moduli spaces of abstract and embedded Kummer varieties

DOI10.1142/S0129167X21500543zbMath1486.14019arXiv1806.00267OpenAlexW3174458169MaRDI QIDQ5007070

Sara Perna, Mattia Galeotti

Publication date: 18 August 2021

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.00267

zbMATH Keywords

abelian varietymoduliabelian schemeKummer variety

Mathematics Subject Classification ID

Theta functions and abelian varieties (14K25) Algebraic moduli of abelian varieties, classification (14K10) Families, moduli, classification: algebraic theory (14J10) Moduli, classification: analytic theory; relations with modular forms (14J15) Stacks and moduli problems (14D23)

Related Items (1)

On the cone of effective surfaces on $\overline{\mathcal A}_3$

Uses Software

• Macaulay2

Cites Work

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• Perfect forms and the moduli space of abelian varieties
• Principally polarized semi-abelic varieties of small torus rank, and the Andreotti-Mayer loci
• On the equations defining Abelian varieties. I-III
• The Universal Kummer Threefold
• Geometry of Algebraic Curves
• Some equations for the universal Kummer variety
• Geometric Invariant Theory
• (16,6) configurations and geometry of Kummer surfaces in 𝑃³
• Twisted Bundles and Admissible Covers
• Geometry of theta divisors --- a survey

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