## Anabelian geometry study materials?

There is this very beautiful survey Nakamura, Hiroaki; Tamagawa, Akio; Mochizuki, Shinichi The Grothendieck conjecture on the fundamental groups of …

There is this very beautiful survey Nakamura, Hiroaki; Tamagawa, Akio; Mochizuki, Shinichi The Grothendieck conjecture on the fundamental groups of …

No, it’s not true in general (EGA 2, (1.2.3)). The following example is taken from EGA 2, (1.3.3). Over a …

The quadratic cone is the quotient of $mathbb{A}^2 = mathrm{Spec}(mathbb{C}[u,v])$ by the involution $iota colon (u,v) mapsto (-u,-v)$. Consequently, $$ …

Over $mathbf{C}$, algebraic normalization and analytic normalization are equivalent concepts. See N. Kuhlmann: Die Normalisierung komplexer Räume, Math. Ann. 144 …

First of all, I am not technically answering your question because you ask specifically for a reference. However, here is …

MR1075991 Abhyankar, Shreeram S. Algebraic geometry for scientists and engineers. AMS Providence, RI, 1990. It is really for scientists and …

If $X$ is smooth and proper, GAGA does in fact suffice (despite the observation that $d$ is not $mathcal{O}_X$-linear: One …

A likely candidate for this would be a non-Du Bois singularity. Du Bois, following Deligne’s ideas, constructed a filtered complex …

You might like to look at this paper: Monica Nicolau, Arnold J. Levine, and Gunnar Carlsson, Topology based data analysis …

The answer is affirmative (in Serre’s formulation via principal homogeneous spaces) for proper, geometrically reduced, and geometrically connected schemes $X$ …