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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

3 votes
2 answers
339 views

Some special subgroups of formal groups

Let $G$ be a 1-dimensional, commutative formal group over a ring $R$. Give $G$ a coordinate $x$ and let $A\subset R$ be the subring generated by the coefficients of the corresponding formal group law …
kiran's user avatar
  • 2,052
9 votes
0 answers
270 views

A kind of algebraic sphere?

Let $Sch$ be the 1-category of schemes. Is there a cosimplicial scheme $D^\bullet$ and a sequence of schemes $S_1, S_2, ...$ such that the geometric realization of the simplicial set $Hom_{Sch}(D^\bul …
kiran's user avatar
  • 2,052
4 votes
1 answer
358 views

Splitting the Witt vectors of $\overline{\mathbb{F}_p}$

Let $\overline{\mathbb{F}_p}$ be the algebraic closure of $\mathbb{F}_p$. Let $W({-})$ denote the functor of taking $p$-typical Witt vectors. Then the extension $\mathbb{F}_p\rightarrow \overline{\mat …
kiran's user avatar
  • 2,052