Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Pierre D. Milman"'
Publikováno v:
Advances in Mathematics. 385:107777
We address the question of whether geometric conditions on the given data can be preserved by a solution in (1) the Whitney extension problem, and (2) the Brenner-Fefferman-Hochster-Kollar problem, both for C m functions. Our results involve a certai
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d2bbe2a7387d51286db5c7e89c2a93ce
https://doi.org/10.1016/j.aim.2021.107777
https://doi.org/10.1016/j.aim.2021.107777
Autor:
Pierre D. Milman, Edward Bierstone
Publikováno v:
Journal of the London Mathematical Society. 95:725-741
Quasianalytic classes are classes of infinitely differentiable functions that satisfy the analytic continuation property enjoyed by analytic functions. Two general examples are quasianalytic Denjoy-Carleman classes (of origin in the analysis of linea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::95d64ec307da9d0891adc864801e77f1
https://doi.org/10.1112/jlms.12032
https://doi.org/10.1112/jlms.12032
Publikováno v:
Proceedings of the American Mathematical Society. 142:4099-4111
It is shown that, for any reduced algebraic variety in characteristic zero, one can resolve all but simple normal crossings (snc) singularities by a finite sequence of blowings-up with smooth centres which, at every step, avoids points where the tran
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::af91d090fc754a7fe334559f333812ee
https://doi.org/10.1090/s0002-9939-2014-12178-2
https://doi.org/10.1090/s0002-9939-2014-12178-2
Publikováno v:
Bulletin of the London Mathematical Society. 45:1060-1064
We give an effective criterion for openness of a morphism of schemes of finite type over a field: Over a normal base of dimension n, failure of openness is detected by a vertical component in the n'th fibred power of the morphism. This is a topologic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b068c8ef60b3d31c1f985854e8b35480
https://doi.org/10.1112/blms/bdt028
https://doi.org/10.1112/blms/bdt028
Publikováno v:
Advances in Mathematics
Advances in Mathematics, Elsevier, 2013, 231 (5), pp.3003-3021. ⟨10.1016/j.aim.2012.08.001⟩
Advances in Mathematics, Elsevier, 2013, 231 (5), pp.3003-3021. ⟨10.1016/j.aim.2012.08.001⟩
In this sequel to Resolution except for minimal singularities I, we find the smallest class of singularities in four variables with which we necessarily end up if we resolve singularities except for normal crossings. The main new feature is a charact
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a6eb79e2690c6e28c9292e519c6e765d
Autor:
Pierre D. Milman, Dima Grigoriev
Publikováno v:
Advances in Mathematics
Advances in Mathematics, Elsevier, 2012
Advances in Mathematics, Elsevier, 2012
International audience; A stratification of the set of critical points of a map is universal in the class of stratifications satisfying the classical Thom and Whitney-a conditions if it is the coarsest among all such stratifications. We show that a u
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::79d785ba81d8d2a9a29fae3ecda1c9e8
https://doi.org/10.1016/j.aim.2012.07.024
https://doi.org/10.1016/j.aim.2012.07.024
Autor:
Pierre D. Milman, Edward Bierstone
Publikováno v:
Advances in Mathematics. 231:3022-3053
The philosophy of the article is that the desingularization invariant together with natural geometric information can be used to compute local normal forms of singularities. The idea is used in two related problems: (1) We give a proof of resolution
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8cfdffe319a5bdbeaa612919994b98d8
https://doi.org/10.1016/j.aim.2012.08.002
https://doi.org/10.1016/j.aim.2012.08.002
Publikováno v:
Canadian Journal of Mathematics. 60:721-733
We obtain a uniform linear bound for the Chevalley function at a point in the source of an analytic mapping that is regular in the sense of Gabrielov. There is a version of Chevalley's lemma also along a fibre, or at a point of the image of a proper
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a7b352e1a28e93d0557783ba724b7f00
https://doi.org/10.4153/cjm-2008-032-x
https://doi.org/10.4153/cjm-2008-032-x
The main problem studied is resolution of singularities of the cotangent sheaf of a complex- or real-analytic variety Y (or of an algebraic variety Y over a field of characteristic zero). Given Y, we ask whether there is a global resolution of singul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0bc5d8817c391c86e3c4870a1eca3b6a
Autor:
Pierre D. Milman, Edward Bierstone
Publikováno v:
Journal of Algebraic Geometry. 15:443-486
We give a combinatorial algorithm for equivariant embedded resolution of singularities of a toric variety defined over a perfect field. The algorithm is realized by a finite succession of blowings-up with smooth invariant centres that satisfy the nor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c920255de701bebb909a3ac8d4a9156b
https://doi.org/10.1090/s1056-3911-06-00430-9
https://doi.org/10.1090/s1056-3911-06-00430-9