Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Patel, Aftab"'
This paper develops the geometry of locally bounded rational functions on non-singular real algebraic varieties. First various basic geometric and algebraic results regarding these functions are established in any dimension, culminating with a versio
Externí odkaz:
http://arxiv.org/abs/2409.04232
Autor:
Patel, Aftab
This paper shows that Cohen-Macaulay algebras can be algebraically approximated in such a way that their Cohen-Macaulayness and minimal Betti numbers are preserved. This is achieved by showing that finitely generated modules over power series rings c
Externí odkaz:
http://arxiv.org/abs/2204.11439
Autor:
Patel, Aftab
This paper considers the problems of finite determinacy and approximation of flat analytic maps from germs of real or complex analytic spaces. It is shown that the flatness of analytic maps from germs of real or complex analytic spaces whose local ri
Externí odkaz:
http://arxiv.org/abs/2109.06821
Autor:
Adamus, Janusz, Patel, Aftab
We show that a Cohen-Macaulay analytic singularity can be arbitrarily closely approximated by germs of Nash sets which are also Cohen-Macaulay and share the same Hilbert-Samuel function. We also prove that every analytic singularity is topologically
Externí odkaz:
http://arxiv.org/abs/1910.11498
Autor:
Adamus, Janusz, Patel, Aftab
We give an elementary combinatorial proof of the following fact: Every real or complex analytic complete intersection germ X is equisingular -- in the sense of the Hilbert-Samuel function -- with a germ of an algebraic set defined by sufficiently lon
Externí odkaz:
http://arxiv.org/abs/1705.08985
Autor:
Patel, Aftab
Publikováno v:
Proceedings of the American Mathematical Society. 151:201-213
This paper considers the problems of finite determinacy and approximation of flat analytic maps from germs of real or complex analytic spaces. It is shown that the flatness of analytic maps from germs of real or complex analytic spaces whose local ri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ecde7f24c08e8283c35d1e454b375b5d
https://doi.org/10.1090/proc/16161
https://doi.org/10.1090/proc/16161
Autor:
Patel, Aftab Yusuf
Publikováno v:
Electronic Thesis and Dissertation Repository
This thesis deals with the problem of approximating germs of real or complex analytic spaces by Nash or algebraic germs. In particular, we investigate the problem of approximating analytic germs in various ways while preserving the Hilbert-Samuel fun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______1548::3e257a07a7c5d8a485aa749c3c0d05c7
https://ir.lib.uwo.ca/context/etd/article/10899/viewcontent/patel_thesis_final.pdf
https://ir.lib.uwo.ca/context/etd/article/10899/viewcontent/patel_thesis_final.pdf
Autor:
Patel, Aftab
Publikováno v:
Proceedings of the American Mathematical Society; Jan2023, Vol. 151 Issue 1, p201-213, 13p
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