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Questions and Answers
What is arithmetic geometry roughly about?
What is arithmetic geometry roughly about?
- Applying techniques from number theory to problems in algebraic geometry
- Applying techniques from statistics to problems in algebraic geometry
- Applying techniques from calculus to problems in number theory
- Applying techniques from algebraic geometry to problems in number theory (correct)
How can arithmetic geometry be defined in more abstract terms?
How can arithmetic geometry be defined in more abstract terms?
- As the study of rational points over the spectrum of the ring of integers
- As the study of schemes of finite type over the spectrum of the ring of integers (correct)
- As the study of polynomial equations over real numbers
- As the study of prime numbers over the spectrum of the ring of integers
What are the classical objects of interest in arithmetic geometry?
What are the classical objects of interest in arithmetic geometry?
- Rational points (correct)
- Imaginary numbers
- Irrational numbers
- Complex numbers
How can rational points be directly characterized?
How can rational points be directly characterized?
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What has become a central area of interest in arithmetic geometry?
What has become a central area of interest in arithmetic geometry?
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