mathematics

Shigeru Iitaka

Shigeru Iitaka is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Shigeru Iitaka rather than just read about it. In short: Shigeru Iitaka (飯高茂 Iitaka Shigeru, born May 29, 1942, Chiba) is a Japanese mathematician at Gakushuin University working in algebraic geometry who introduced the Kodaira dimension, and Iitaka dimension. He was a world leader in the field of Algebraic geometry.

Key takeaways

Shigeru Iitaka belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Shigeru Iitaka to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Shigeru Iitaka from memory before moving on to harder problems.

Reference excerpt

Shigeru Iitaka (飯高茂 Iitaka Shigeru, born May 29, 1942, Chiba) is a Japanese mathematician at Gakushuin University working in algebraic geometry who introduced the Kodaira dimension, and Iitaka dimension. He was a world leader in the field of Algebraic geometry. He received his Ph.D. in 1970 from the University of Tokyo under Kunihiko Kodaira with thesis「代数多様体のD-次元について」(On D-dimensions of algebraic varieties). He was awarded the Iyanaga Prize of the Mathematical Society of Japan in 1980 and the Japan Academy Prize in 1990.

References

External links CV of Shigeru Iitaka

Worked examples

Example 1 — a first encounter with Shigeru Iitaka

Start with the simplest possible case. Write down what Shigeru Iitaka claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Shigeru Iitaka before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Shigeru Iitaka ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Shigeru Iitaka

In research: Shigeru Iitaka appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Shigeru Iitaka in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Shigeru Iitaka is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1942 births, 20th-century Japanese mathematicians, 21st-century Japanese mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Shigeru Iitaka outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Shigeru Iitaka in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Shigeru Iitaka means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Shigeru Iitaka out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Shigeru Iitaka in simple terms?

Why does Shigeru Iitaka matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Shigeru Iitaka?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Shigeru Iitaka.