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Period mappings and differential equations. From $\bf C$ to $\bf C_p$
André, Yves
HAL, hal-00010041 / Harvested from HAL
This is an introduction to $p$-adic geometry and $p$-adic analysis focusing on the theme of $p$-adic period mappings. We follow as closely as possible the development of the classical theory of complex period mappings, blending differential equations, group theory and geometry. The text ends with a detailed discussion of $p$-adic triangle groups.
Publié le : 2002-07-05
Classification:  [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT],  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
@article{hal-00010041,
     author = {Andr\'e, Yves},
     title = {Period mappings and differential equations. From $\bf C$ to $\bf C\_p$},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00010041}
}
André, Yves. Period mappings and differential equations. From $\bf C$ to $\bf C_p$. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00010041/