A question of Griffiths–Schmid asks when the monodromy group of an algebraic family of complex varieties is arithmetic. We resolve this in the affirmative for a class of algebraic surfaces known as Atiyah–Kodaira manifolds, which have base and fibers equal to complete algebraic curves. Our methods are topological in nature and involve an analysis of the ‘geometric’ monodromy, valued in the mapping class group of the fiber.
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Algebraic Program Analysis
This paper is a tutorial on algebraic program analysis. It explains the foundations of algebraic program analysis, its strengths and limitations, and gives examples of algebraic program analyses for numerical invariant generation and termination analysis.
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 Award ID(s):
 1942537
 NSFPAR ID:
 10317800
 Date Published:
 Journal Name:
 Computer Aided Verification
 Format(s):
 Medium: X
 Sponsoring Org:
 National Science Foundation
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