MathOverflow Asked on January 5, 2022
Let $P$ be a prime ideal in $S=mathbb{C}[x_1,ldots , x_n],$ and write $[n] = { 1, ldots , n }.$ The algebraic matroid of $P$ can be defined according to circuit axioms as follows: $Csubset [n]$ is a circuit if $P cap mathbb{C} [x_i mid i in C]$ is principal, and we call a generator of this ideal a circuit polynomial. The circuit ideal $P_{mathcal{C}}subset S$ is generated by all circuit polynomials.
Question For which $P$ do we have $sqrt{P_{mathcal{C}}}=P$?
For context, I include the following facts:
1 Asked on February 17, 2021
at algebraic topology cohomology fundamental group homological algebra homotopy theory
1 Asked on February 16, 2021 by castor
co combinatorics gr group theory graph theory reference request sandpile
1 Asked on February 16, 2021 by bernard_karkanidis
0 Asked on February 15, 2021
expander graphs extremal graph theory graph theory spanning tree trees
0 Asked on February 15, 2021 by proof-by-wine
1 Asked on February 14, 2021 by sina
2 Asked on February 12, 2021 by federico-fallucca
ag algebraic geometry covering spaces field extensions ramification
1 Asked on February 12, 2021 by gmra
1 Asked on February 12, 2021 by patrick-nicodemus
at algebraic topology ct category theory homological algebra
1 Asked on February 12, 2021 by christian-gaetz
co combinatorics discrete geometry hyperplane arrangements mg metric geometry
1 Asked on February 8, 2021 by harharkh
2 Asked on February 7, 2021 by mustafa-said
1 Asked on February 7, 2021 by fozz
ap analysis of pdes fa functional analysis harmonic functions
1 Asked on February 6, 2021 by sylvain-julien
analytic number theory goldbach type problems nt number theory prime constellations prime numbers
4 Asked on February 5, 2021 by john-r-ramsden
1 Asked on February 5, 2021
complex geometry dg differential geometry differential operators vector bundles
28 Asked on February 3, 2021 by psihodelia
2 Asked on February 2, 2021 by serge
computer algebra hochschild cohomology quivers ra rings and algebras
0 Asked on February 2, 2021
Get help from others!
Recent Answers
Recent Questions
© 2023 AnswerBun.com. All rights reserved. Sites we Love: PCI Database, MenuIva, UKBizDB, Menu Kuliner, Sharing RPP, SolveDir