Compactification of a Drinfeld period domain over a finite field

DOI10.1090/S1056-3911-2013-00605-0zbMath1327.14123arXiv1007.4796MaRDI QIDQ5411621

Simon Schieder, Richard Pink

Publication date: 24 April 2014

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.4796

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Finite ground fields in algebraic geometry (14G15) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Modular and Shimura varieties (14G35) Rigid analytic geometry (14G22) Finite upper half-planes (11T60) Compactifications; symmetric and spherical varieties (14M27)

Related Items (8)

Explicit Drinfeld moduli schemes and Abhyankar's generalized iteration conjecture ⋮ Compactification of Drinfeld modular varieties and Drinfeld modular forms of arbitrary rank ⋮ Satake compactification of analytic Drinfeld modular varieties ⋮ Birational geometry of compactifications of Drinfeld half-spaces over a finite field ⋮ Cohomological Theory of Crystals over Function Fields and Applications ⋮ Towers of \(\mathrm{GL}(r)\)-type of modular curves ⋮ On Drinfeld modular forms of higher rank IV: modular forms with level ⋮ Compactification of Drinfeld moduli spaces as moduli spaces of 𝐴-reciprocal maps and consequences for Drinfeld modular forms

Cites Work

• Introduction to the theory of weighted projective spaces
• Compactification of Drinfeld modular varieties and Drinfeld modular forms of arbitrary rank
• A primer on the Dickson invariants
• Kohomologie von Periodenbereichen über endlichen Körpern
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