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Martin Sleziak
Martin Sleziak
1:12 PM
new-tag A new tag cycles was created. There is also a tag-excerpt and a tag-wiki.
> The study of algebraic cycles in algebraic and arithmetic geometry in terms of the Chow group $\operatorname{CH}^*(X)$, the grothendieck group $\operatorname{K}_0(X)$ and the Chern character $ch:\operatorname{K}_0(X)_{\mathbb{Q}}\rightarrow \operatorname{CH}^*(X)_{\mathbb{Q}}$"
Algebraic cycle
In mathematics, an algebraic cycle on an algebraic variety V is a formal linear combination of subvarieties of V. These are the part of the algebraic topology of V that is directly accessible by algebraic methods. Understanding the algebraic cycles on a variety can give profound insights into the structure of the variety. The most trivial case is codimension zero cycles, which are linear combinations of the irreducible components of the variety. The first non-trivial case is of codimension one subvarieties, called divisors. The earliest work on algebraic cycles focused on the case of divisors...
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Q: Resolution of coherent sheaves on abelian varieties.

hm2020If $A$ is a commutative unital ring and $E$ is a finite rank projective $A$-module there is a surjective $A$-linear map $\phi: A^n \rightarrow E$, with kernel $F:=ker(\phi)$ and $F\oplus E \cong A^n$ an isomorphism of $A$-modules. We get a short exact sequence of projective finite rank $A$-module...

algebraic-geometry algebraic-groups k-theory abelian-varieties cycles
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Q: $2x^2 + xy + 2y^2 = 0$ a pair of straight lines

saniIs the following equation a Pair of Straight lines ? $2x^2 + xy + 2y^2 = 0$ I can see $h^2 - ab$ is negative. I do not think it will be a Pair of Straight lines. Then what is it ? Can anyone please explain ?

analytic-geometry conic-sections pair-of-straight-lines
Jun 1 '17 at 11:40, by Martin Sleziak
Not too long ago the tag straight-lines has been created. Then discussion on meta led to removal of the tag. But since the tag-creator already added the tag to many questions, more than 70 questions were bumped twice. (Once when the tag was added, once when it was removed.) See also here: http://chat.stackexchange.com/transcript/3740/2017/1/4
 

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