瘦削 发表于 2025-3-21 16:44:03
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,Differential Structure of Étale Extensions of Polynomial Algebras,actions [.] we observed that this is easily proved if . is equivariant for a reductive group acting on the two ℂ.’s and having a dense orbit and a fixed point. One is thus tempted to try to prove the Jacobian conjecture by “feeding” such group actions into the picture. For example, let . = ..(ℂ) actGRAIN 发表于 2025-3-22 01:32:03
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Rank Varieties of Matrices,f matrices by studying varieties of square matrices defined by conditions on the ranks of powers of the matrices, or more generally on the ranks of polynomial functions of them. We show that the irreducible components of such varieties are always Gorenstein with rational singularities (in particular夜晚 发表于 2025-3-22 20:40:50
A Characterization of ,-Regularity in Terms of ,-Purity, characteristic . techniques (relying on special properties of the Frobenius homomorphism). In particular, Hochster and Roberts [.] proved that the ring .. of invariants of a group . acting on a regular ring . is necessarily Cohen-Macaulay by an argument which exploits the fact that .. is a direct sConflagration 发表于 2025-3-22 22:35:32
Some Transcendence Degree Questions,ring . with identity with particular interest in those . algebras which are contained in a polynomial ring over .. To be precise, let . = .[..] where [..] = {..,…,..{, a set of independent indeterminates and the objects of interest are .-algebras ... with . finitely generated over .. The paper gives证实 发表于 2025-3-23 05:06:23
Exceptional Prime Divisors of Two-dimensional Local Domains,ons. We consider the normal local domains between . and . that are spots over .. Any such spot lies on the blow-up of some ideal . of . and on the normalized blow-up Proj(.[.]′) (where . is an indeterminate and ′ denotes integral closure) of an ideal generated by two elements. The purpose of the pre新娘 发表于 2025-3-23 06:27:49
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