Skip to main content
Search type Search syntax
Tags [tag]
Exact "words here"
Author user:1234
user:me (yours)
Score score:3 (3+)
score:0 (none)
Answers answers:3 (3+)
answers:0 (none)
isaccepted:yes
hasaccepted:no
inquestion:1234
Views views:250
Code code:"if (foo != bar)"
Sections title:apples
body:"apples oranges"
URL url:"*.example.com"
Saves in:saves
Status closed:yes
duplicate:no
migrated:no
wiki:no
Types is:question
is:answer
Exclude -[tag]
-apples
For more details on advanced search visit our help page
Results tagged with
Search options questions only not deleted user 154157
7 votes
0 answers
223 views

What is the relationship between higher-order derivations (in the sense of Hasse-Schmidt) an...

Let $A$ and $B$ be $R$-algebras. A Hasse-Schmidt $m$-derivation $D : A \to B$ is a tuple $(D_0, D_1, \dots, D_m)$ of $R$-linear maps $A \to B$ satisfying the generalized Leibniz law, $$ D_k(xy) = \sum …
Ben C's user avatar
  • 3,625
3 votes
0 answers
137 views

How is differentiation defined on the Green-Griffiths jet bundles?

In their original paper Green and Griffiths remark that there is a differentiation operation on their jet bundles: $$ (-)' : \mathcal{J}_{k,m} \to \mathcal{J}_{k+1,m+1} $$ Which they define on p.47 vi …
Ben C's user avatar
  • 3,625
2 votes
1 answer
152 views

Splitting of higher order jet sequence

Let $X$ be a smooth variety. Because $\mathcal{O}_X$ admits a canonical connection $\mathrm{d} : \mathcal{O}_X \to \Omega_X$ the sequence, $$ 0 \to \Omega_X \to J^1(\mathcal{O}_X) \to \mathcal{O}_X \t …
Ben C's user avatar
  • 3,625