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Homotopy theory, homological algebra, algebraic treatments of manifolds.

2 votes

What is the fundamental group of $\mathcal O_{\mathbb P^n}(k)$ minus the zero section

Another way to see that the fundamental group is $\mathbb{Z}/k$ is using geometry of cyclic quotient singularities and it goes as follows. We consider the negative twists first. In this case the tot …
Evgeny Shinder's user avatar
7 votes
Accepted

Torsion in the cohomology of Fano varieties of lines

Here is an expanded version of my comments. Let's work over the complex numbers which I suppose is assumed in the question. Let $K_0(Var)$ be the Grothendieck ring of varieties (see e.g. https://arxiv …
Evgeny Shinder's user avatar
3 votes

Milnor lattice and Du Val singularity

Nikulin, in $\S$2 of his classical paper about lattices explains an algorithm how to compute the Milnor lattice of a function germ with an isolated singularity. Specifically, in Theorem 2.2.2 he says …
Evgeny Shinder's user avatar