Nash blowups in prime characteristic
D Duarte, L Núñez-Betancourt - Revista Matemática Iberoamericana, 2021 - ems.press
We initiate the study of Nash blowups in prime characteristic. First, we show that a normal
variety is non-singular if and only if its Nash blowup is an isomorphism, extending a theorem …
variety is non-singular if and only if its Nash blowup is an isomorphism, extending a theorem …
Higher Jacobian ideals, contact equivalence and motivic zeta functions
We show basic properties of higher Jacobian matrices and higher Jacobian ideals for
functions and apply it to obtain two results concerning singularities of functions. Firstly, we …
functions and apply it to obtain two results concerning singularities of functions. Firstly, we …
Higher Jacobian matrix of weighted homogeneous polynomials and derivation algebras
We prove that the ideal generated by the maximal minors of the higher-order Jacobian
matrix of a weighted homogeneous polynomial is also weighted homogeneous. As an …
matrix of a weighted homogeneous polynomial is also weighted homogeneous. As an …
High-order derivations of the Hasse-Schmidt algebra
P Barajas - arXiv preprint arXiv:2305.04537, 2023 - arxiv.org
arXiv:2305.04537v1 [math.AC] 8 May 2023 Page 1 arXiv:2305.04537v1 [math.AC] 8 May 2023
High-order derivations of the Hasse-Schmidt algebra Paul Barajas May 9, 2023 Abstract In this …
High-order derivations of the Hasse-Schmidt algebra Paul Barajas May 9, 2023 Abstract In this …
[PDF][PDF] Arc scheme and higher differential forms
Y Le Dréau, J Sebag - Osaka J. Math., To appear - math.sci.osaka-u.ac.jp
Let k be a field. In this article, we identify the component of weight 2 of the natural Gm, k-
graduation on the k-algebra of the arc scheme attached to an affine algebraic variety X with …
graduation on the k-algebra of the arc scheme attached to an affine algebraic variety X with …