Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Herwig Hauser"'
Autor:
Herwig Hauser, Sebastian Woblistin
Publikováno v:
Forum of Mathematics, Sigma, Vol 9 (2021)
Spaces of power series solutions $y(\mathrm {t})$ in one variable $\mathrm {t}$ of systems of polynomial, algebraic, analytic or formal equations $f(\mathrm {t},\mathrm {y})=0$ can be viewed as ‘infinite-dimensional’ varieties over the g
Externí odkaz:
https://doaj.org/article/5c1baca8811745ecbeaf6e6a0cbe3592
Autor:
Herwig Hauser
Publikováno v:
Bulletin of the American Mathematical Society. 59:607-609
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::02d7d055702e8e6297968f02359580a9
https://doi.org/10.1090/bull/1778
https://doi.org/10.1090/bull/1778
Autor:
Herwig Hauser, Stefan Perlega
Publikováno v:
Publications of the Research Institute for Mathematical Sciences. 55:835-857
In characteristic zero, the residual order constitutes, after the local multiplicity, the second key invariant for the resolution of singularities. It is defined as the order of the coefficient ideal in a local hypersurface of maximal contact, minus
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc359b44d5b6f71dc45b4c1c09f76f5d
https://doi.org/10.4171/prims/55-4-7
https://doi.org/10.4171/prims/55-4-7
Autor:
Christopher Chiu, Herwig Hauser
We define the notion of isosingular loci of algebraic varieties, following the analytic case first studied by Ephraim. In particular, we give a partial extension of his main result in arbitrary characteristic and a full extension assuming characteris
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3610e1ccdb11d046f7c8ffde776e18f3
Autor:
Herwig Hauser
Publikováno v:
Transcendence in Algebra, Combinatorics, Geometry and Number Theory ISBN: 9783030843038
An abstract look at the work of Fuchs and Frobenius on the solutions of ordinary differential equations at regular singularites.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::225efa4d8bf8ef1baf4f3d746ef6ca92
https://doi.org/10.1007/978-3-030-84304-5_11
https://doi.org/10.1007/978-3-030-84304-5_11
Publikováno v:
Bulletin of the London Mathematical Society. 50:649-662
Gabrielov's famous example for the failure of analytic Artin approximation in the presence of nested subring conditions is shown to be due to a growth phenomenon in standard basis computations for echelons, a generalization of the concept of ideals i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::05c617c1444457d8ba1390db3191ae78
https://doi.org/10.1112/blms.12162
https://doi.org/10.1112/blms.12162
Autor:
Herwig Hauser
Publikováno v:
Bulletin of the American Mathematical Society. 56:687-689
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2ce484319e9e41dff6731354fea4d067
https://doi.org/10.1090/bull/1679
https://doi.org/10.1090/bull/1679
Autor:
Herwig Hauser
Publikováno v:
Bulletin of the American Mathematical Society. 55:289-293
The purpose of this note is to clarify and complement various places in the article The classical Artin approximation theorems, published in Bull. Amer. Math. Soc. 54 (2017), no. 4, 595–633. A few reasonings in the article may have been difficult t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::db23f9c4db8a3ab236c4d60739eb6e1d
https://doi.org/10.1090/bull/1606
https://doi.org/10.1090/bull/1606
Autor:
Herwig Hauser
Publikováno v:
Bulletin of the American Mathematical Society. 54:595-633
The various Artin approximation theorems assert the existence of power series solutions of a certain qualityQQ(i.e., formal, analytic, algebraic) of systems of equations of the same qualityQQ, assuming the existence of power series solutions of a wea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ee2e01a98eaadfe19741e46061c51e1e
https://doi.org/10.1090/bull/1579
https://doi.org/10.1090/bull/1579
Publikováno v:
Foundations of Computational Mathematics. 18:789-833
The division algorithm for ideals of algebraic power series satisfying Hironaka’s box condition is shown to be finite when expressed suitably in terms of the defining polynomial codes of the series. In particular, the codes of the reduced standard
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3bc0c0e971b0afc28ba49aa9d9f4bc1a
https://doi.org/10.1007/s10208-017-9354-z
https://doi.org/10.1007/s10208-017-9354-z