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Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.

17 votes

Is there a "crash-course" book on Abelian varieties (e.g., an introduction for physicists)?

Topics in Complex Function Theory, Abelian Functions and Modular Functions of Several Variables by C. L. Siegel is a standard reference using complex function theory. There are older works (e.g. H. F. …
Charles Matthews's user avatar
1 vote

Subrings of rational functions invariant under change of sign

So at the level of function fields, you have a group of order 2 acting on L, the field of fractions of R, and there is a subfield K fixed by it. The extension L/K will be of degree 2, so quadratic. In …
Charles Matthews's user avatar