Singular Coverings of Toposes (Lecture Notes in Mathematics)

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Compare it with molding when a planar steel sheet is transformed into something curved. A striking connection between algebraic topology and arithmetic geometry is given by the Weil conjectures, which tell you the following remarkable thing: suppose you have a nice variety which is defined over [math]\mathbb{Q}[/math], which roughly means that you can find a set of defining equations for it with rational coefficients. The first interesting case is the following: suppose your variety [math]X[/math] is a smooth projective Algebraic curve of genus [math]g[/math], which means that over [math]\mathbb{C}[/math] it looks like a doughnut with [math]g[/math] holes.

Pages: 225

Publisher: Springer; 2006 edition (June 2, 2010)

ISBN: 3540363599

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