Edward Bierstone | University of Toronto (original) (raw)

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Papers by Edward Bierstone

Research paper thumbnail of Resolution except for minimal singularities II. The case of four variables

arXiv (Cornell University), Jul 27, 2011

Research paper thumbnail of Geometric Auslander criterion for flatness

arXiv (Cornell University), Jan 18, 2009

Research paper thumbnail of Desingularization preserving stable simple normal crossings

arXiv (Cornell University), Nov 27, 2013

Research paper thumbnail of Resolution of singularities of pairs preserving semi-simple normal crossings

arXiv (Cornell University), Sep 14, 2011

Research paper thumbnail of Geometric Auslander criterion for flatness

arXiv (Cornell University), Jan 18, 2009

Research paper thumbnail of Resolution of singularities of the cotangent sheaf of a singular variety

arXiv (Cornell University), Apr 27, 2015

Research paper thumbnail of Geometric and differential properties of subanalytic sets

Bulletin of the American Mathematical Society, 1991

Research paper thumbnail of Differentiable functions defined in closed sets. A problem of Whitney

arXiv (Cornell University), Nov 20, 2001

Research paper thumbnail of Resolution of singularities in Denjoy-Carleman classes

arXiv (Cornell University), Aug 29, 2001

Research paper thumbnail of Resolution except for minimal singularities I

arXiv (Cornell University), Jul 27, 2011

Research paper thumbnail of Resolution except for minimal singularities II. The case of four variables

Research paper thumbnail of Partial desingularization

arXiv (Cornell University), Nov 28, 2022

Research paper thumbnail of Conference Festschrift Arnol'd (Vladimir Igorevich) on his 60th birthday

Research paper thumbnail of Composite Differentiable Functions

We introduce a new point of view towards Glaeser's theorem on composite C^∞ functions [Ann. o... more We introduce a new point of view towards Glaeser's theorem on composite C^∞ functions [Ann. of Math. 1963], with respect to which we can formulate a "C^k composite function property" that is satisfied by all semiproper real analytic mappings. As a consequence, we see that a closed subanalytic set X satisfies the C^∞ composite function property if and only if the ring C^∞ (X) of C^∞ functions on X is the intersection of all finite differentiability classes.

Research paper thumbnail of Algebras of composite differentiable functions

[Research paper thumbnail of Resolution except for minimal singularities II. The case of four variables, preprint arXiv:1107.5598v2 [math.AG](https://attachments.academia-assets.com/93486866/thumbnails/1.jpg)

Research paper thumbnail of The structure of orbit spaces and the singularities equivariant mappings

Research paper thumbnail of The extension problem and related themes in differential analysis

Proceedings of Symposia in Pure Mathematics, 1983

Research paper thumbnail of 7:00–9:00 Breakfast 9:00–9:15 Welcome and introduction. SCHEDULE 9:20–10:10 Dan Abramovich, Overview: Resolution of singularities and toroidal geometry

Resolution of singularities, factorization of birational mappings, and

Research paper thumbnail of Local analytic invariants

Banach Center Publications, 1988

Research paper thumbnail of Resolution except for minimal singularities II. The case of four variables

arXiv (Cornell University), Jul 27, 2011

Research paper thumbnail of Geometric Auslander criterion for flatness

arXiv (Cornell University), Jan 18, 2009

Research paper thumbnail of Desingularization preserving stable simple normal crossings

arXiv (Cornell University), Nov 27, 2013

Research paper thumbnail of Resolution of singularities of pairs preserving semi-simple normal crossings

arXiv (Cornell University), Sep 14, 2011

Research paper thumbnail of Geometric Auslander criterion for flatness

arXiv (Cornell University), Jan 18, 2009

Research paper thumbnail of Resolution of singularities of the cotangent sheaf of a singular variety

arXiv (Cornell University), Apr 27, 2015

Research paper thumbnail of Geometric and differential properties of subanalytic sets

Bulletin of the American Mathematical Society, 1991

Research paper thumbnail of Differentiable functions defined in closed sets. A problem of Whitney

arXiv (Cornell University), Nov 20, 2001

Research paper thumbnail of Resolution of singularities in Denjoy-Carleman classes

arXiv (Cornell University), Aug 29, 2001

Research paper thumbnail of Resolution except for minimal singularities I

arXiv (Cornell University), Jul 27, 2011

Research paper thumbnail of Resolution except for minimal singularities II. The case of four variables

Research paper thumbnail of Partial desingularization

arXiv (Cornell University), Nov 28, 2022

Research paper thumbnail of Conference Festschrift Arnol'd (Vladimir Igorevich) on his 60th birthday

Research paper thumbnail of Composite Differentiable Functions

We introduce a new point of view towards Glaeser's theorem on composite C^∞ functions [Ann. o... more We introduce a new point of view towards Glaeser's theorem on composite C^∞ functions [Ann. of Math. 1963], with respect to which we can formulate a "C^k composite function property" that is satisfied by all semiproper real analytic mappings. As a consequence, we see that a closed subanalytic set X satisfies the C^∞ composite function property if and only if the ring C^∞ (X) of C^∞ functions on X is the intersection of all finite differentiability classes.

Research paper thumbnail of Algebras of composite differentiable functions

[Research paper thumbnail of Resolution except for minimal singularities II. The case of four variables, preprint arXiv:1107.5598v2 [math.AG](https://attachments.academia-assets.com/93486866/thumbnails/1.jpg)

Research paper thumbnail of The structure of orbit spaces and the singularities equivariant mappings

Research paper thumbnail of The extension problem and related themes in differential analysis

Proceedings of Symposia in Pure Mathematics, 1983

Research paper thumbnail of 7:00–9:00 Breakfast 9:00–9:15 Welcome and introduction. SCHEDULE 9:20–10:10 Dan Abramovich, Overview: Resolution of singularities and toroidal geometry

Resolution of singularities, factorization of birational mappings, and

Research paper thumbnail of Local analytic invariants

Banach Center Publications, 1988