Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Luis Narváez Macarro"'
Publikováno v:
Journal of Algebra. 574:70-91
We prove that any multi-variate Hasse–Schmidt derivation can be decomposed in terms of substitution maps and uni-variate Hasse–Schmidt derivations. As a consequence we prove that the bracket of two m-integrable derivations is also m-integrable, f
Autor:
Christopher Chiu, Luis Narváez Macarro
Publikováno v:
Michigan Mathematical Journal.
Publikováno v:
Advances in Mathematics. 352:372-405
We introduce tautological systems defined by prehomogeneous actions of reductive algebraic groups. If the complement of the open orbit is a linear free divisor satisfying a certain finiteness condition, we show that these systems underly mixed Hodge
Publikováno v:
Arc Schemes and Singularities
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6ac98c0ec1461b297ec3b66fe4702538
https://doi.org/10.1142/9781786347206_0016
https://doi.org/10.1142/9781786347206_0016
Autor:
Luis Narváez Macarro
Let $k$ be a commutative ring and $A$ a commutative $k$-algebra. In this paper we introduce the notion of enveloping algebra of Hasse--Schmidt derivations of $A$ over $k$ and we prove that, under suitable smoothness hypotheses, the canonical map from
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a843633bfb7fd732795e221560e748d
Autor:
Luis Narváez Macarro
We prove that, in characteristic 0, any Hasse-Schmidt module structure can be recovered from its underlying integrable connection, and consequently Hasse--Schmidt modules and modules endowed with an integrable connection coincide.
20 pages; comm
20 pages; comm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c81793b88873c4b6551fa0b283e9a32e
http://arxiv.org/abs/1903.08985
http://arxiv.org/abs/1903.08985
Autor:
Luis Narváez Macarro
Publikováno v:
Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics ISBN: 9783319968261
We study the action of substitution maps between power series rings as an additional algebraic structure on the groups of Hasse–Schmidt derivations. This structure appears as a counterpart of the module structure on classical derivations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::408a6bb9e71251373a993725b6c0f1f2
Autor:
Luis Narváez Macarro
In this paper we survey the notion and basic results on multivariate Hasse--Schmidt derivations over arbitrary commutative algebras and we associate to such an object a family of classical derivations. We study the behavior of these derivations under
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9384115ff61cd64d93b552bd4302dafb
This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra. The motivation for this collection comes from the wide-ranging