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2
votes
1answer
210 views

Castelnuovo Mumford Regularity

Let $$ ‎‏0 ‎‎\rightarrow‎‎‏ ‎E_{n-1} ‎‎\rightarrow ‎... ‎‎‎\rightarrow ‎E_1 ‎‎‎\rightarrow ‎E_0 ‎‎‎\rightarrow I \rightarrow 0‎ ‎,‎ $$ be a minimal free resolution of ideal $I$, where $$ E_p = ...
2
votes
1answer
118 views

higher order Noether identities

Noether's 2nd variational theorem gives a correspondence between symmetries of a Lagrangian and Noether identities = relations among the E-L equations. How about relations among relations among the ...
1
vote
3answers
280 views

Syzygies of determinantal varieties: Looking for English text

I would like to understand the syzygies of the determinantal ideal $I_r$, generated by the $r\times r$ minors of a matrix $(X_{ij})$ of indeterminantes in the polynomial ring over an algebraically ...
3
votes
1answer
261 views

Defining ideals for rational curves in space

A rational normal curve $C_d\subset\mathbb{P}^d$ is defined by quadrics. I guess, for the generic projection $\mathbb{P}^d\stackrel{\pi}{\to}\mathbb{P}^n$ the image $\pi(C_d)$ is still defined by ...