It takes the average reader 1 hour and 30 minutes to read Torus Fibrations, Gerbes, and Duality by Ron Donagi
Assuming a reading speed of 250 words per minute. Learn more
Let $X$ be a smooth elliptic fibration over a smooth base $B$. Under mild assumptions, the authors establish a Fourier-Mukai equivalence between the derived categories of two objects, each of which is an $\mathcal{O}{\times}$ gerbe over a genus one fibration which is a twisted form of $X$. The roles of the gerbe and the twist are interchanged by the authors' duality. The authors state a general conjecture extending this to allow singular fibers, and they prove the conjecture when $X$ is a surface. The duality extends to an action of the full modular group. This duality is related to the...
Torus Fibrations, Gerbes, and Duality by Ron Donagi is 90 pages long, and a total of 22,500 words.
This makes it 30% the length of the average book. It also has 27% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 2 hours and 2 minutes to read Torus Fibrations, Gerbes, and Duality aloud.
Torus Fibrations, Gerbes, and Duality is suitable for students ages 10 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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