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You searched for `subject:(symbolic powers)`

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University of Waterloo

1. Roche, Daniel Steven. Efficient Computation with Sparse and Dense Polynomials.

Degree: 2011, University of Waterloo

URL: http://hdl.handle.net/10012/5869

► Computations with polynomials are at the heart of any computer algebra system and also have many applications in engineering, coding theory, and cryptography. Generally speaking,…
(more)

Subjects/Keywords: computer algebra; symbolic computation; polynomials; multiplication; interpolation; perfect powers

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Roche, D. S. (2011). Efficient Computation with Sparse and Dense Polynomials. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/5869

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Roche, Daniel Steven. “Efficient Computation with Sparse and Dense Polynomials.” 2011. Thesis, University of Waterloo. Accessed August 07, 2020. http://hdl.handle.net/10012/5869.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Roche, Daniel Steven. “Efficient Computation with Sparse and Dense Polynomials.” 2011. Web. 07 Aug 2020.

Vancouver:

Roche DS. Efficient Computation with Sparse and Dense Polynomials. [Internet] [Thesis]. University of Waterloo; 2011. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/10012/5869.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Roche DS. Efficient Computation with Sparse and Dense Polynomials. [Thesis]. University of Waterloo; 2011. Available from: http://hdl.handle.net/10012/5869

Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Chicago

2. Niu, Wenbo. Bounding the Castelnuovo-Mumford Regularity of Algebraic Varieties.

Degree: 2012, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/9630

► In this monograph, we study bounds for the Castelnuovo-Mumford regularity of algebraic varieties. In chapter three, we give a computational bounds for an homogeneous ideal,…
(more)

Subjects/Keywords: Castelnuovo-Mumford regularity; powers of ideals; symbolic powers; multiplier ideal sheaves; vanishing theorems; asymptotic regularity; multiregularity; Mukai regularity.

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Niu, W. (2012). Bounding the Castelnuovo-Mumford Regularity of Algebraic Varieties. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/9630

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Niu, Wenbo. “Bounding the Castelnuovo-Mumford Regularity of Algebraic Varieties.” 2012. Thesis, University of Illinois – Chicago. Accessed August 07, 2020. http://hdl.handle.net/10027/9630.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Niu, Wenbo. “Bounding the Castelnuovo-Mumford Regularity of Algebraic Varieties.” 2012. Web. 07 Aug 2020.

Vancouver:

Niu W. Bounding the Castelnuovo-Mumford Regularity of Algebraic Varieties. [Internet] [Thesis]. University of Illinois – Chicago; 2012. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/10027/9630.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Niu W. Bounding the Castelnuovo-Mumford Regularity of Algebraic Varieties. [Thesis]. University of Illinois – Chicago; 2012. Available from: http://hdl.handle.net/10027/9630

Not specified: Masters Thesis or Doctoral Dissertation

3.
Chen, Yuanyuan.
Filtration Theorems and Bounding Generators of *Symbolic* Multi-* powers*.

Degree: PhD, Mathematics, 2019, University of Michigan

URL: http://hdl.handle.net/2027.42/151674

► We prove a very powerful generalization of the theorem on generic freeness that gives countable ascending filtrations, by prime cyclic A-modules A/P, of finitely generated…
(more)

Subjects/Keywords: symbolic powers; filtration theorems; Mathematics; Science

…*Symbolic* multi-*powers* are defined analogously using *symbolic* *powers* instead of
*powers*. We use our… …sequence of ideals and of the *symbolic* multi-*powers* as well under
various conditions. This… …includes the case of ordinary *symbolic* *powers* of one ideal.
Furthermore, we give new results… …*symbolic*
power or of an intersection of *powers*. In this thesis, we will introduce a powerful tool… …number
of generators of the multi-*powers* of ideals, i.e., I1n1 X ¨ ¨ ¨ X Iknk , and of *symbolic*…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Chen, Y. (2019). Filtration Theorems and Bounding Generators of Symbolic Multi-powers. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/151674

Chicago Manual of Style (16^{th} Edition):

Chen, Yuanyuan. “Filtration Theorems and Bounding Generators of Symbolic Multi-powers.” 2019. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/151674.

MLA Handbook (7^{th} Edition):

Chen, Yuanyuan. “Filtration Theorems and Bounding Generators of Symbolic Multi-powers.” 2019. Web. 07 Aug 2020.

Vancouver:

Chen Y. Filtration Theorems and Bounding Generators of Symbolic Multi-powers. [Internet] [Doctoral dissertation]. University of Michigan; 2019. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/151674.

Council of Science Editors:

Chen Y. Filtration Theorems and Bounding Generators of Symbolic Multi-powers. [Doctoral Dissertation]. University of Michigan; 2019. Available from: http://hdl.handle.net/2027.42/151674

4.
More, Ajinkya Ajay.
*Symbolic**Powers* and other Contractions of Ideals in Noetherian Rings.

Degree: PhD, Mathematics, 2012, University of Michigan

URL: http://hdl.handle.net/2027.42/94031

► The results in this thesis are motivated by the following four questions: 1. (Eisenbud-Mazur conjecture): Given a regular local ring (R,m) containing a field of…
(more)

Subjects/Keywords: Symbolic Powers, Eisenbud-Mazur Conjecture, Regular Local Ring, Uniform Bounds, Contractions; Mathematics; Science

…*symbolic* *powers*, chapter 4) Given a Noetherian complete
local domain R, is there a positive… …first need a more general definition of *symbolic*
*powers*.
3
Definition 1.1.2. Let R be a… …positive integers n.
10
1.3
Uniform bounds on *symbolic* *powers* of prime ideals
The question… …particular
this implies that there is a uniform bound for the growth of *symbolic* *powers* of ideals… …uniform bounds on *symbolic* *powers*
of prime ideals. Finally in chapter 5 we raise some questions…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

More, A. A. (2012). Symbolic Powers and other Contractions of Ideals in Noetherian Rings. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/94031

Chicago Manual of Style (16^{th} Edition):

More, Ajinkya Ajay. “Symbolic Powers and other Contractions of Ideals in Noetherian Rings.” 2012. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/94031.

MLA Handbook (7^{th} Edition):

More, Ajinkya Ajay. “Symbolic Powers and other Contractions of Ideals in Noetherian Rings.” 2012. Web. 07 Aug 2020.

Vancouver:

More AA. Symbolic Powers and other Contractions of Ideals in Noetherian Rings. [Internet] [Doctoral dissertation]. University of Michigan; 2012. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/94031.

Council of Science Editors:

More AA. Symbolic Powers and other Contractions of Ideals in Noetherian Rings. [Doctoral Dissertation]. University of Michigan; 2012. Available from: http://hdl.handle.net/2027.42/94031

5.
Walker, Robert.
Uniform *Symbolic* Topologies in Non-Regular Rings.

Degree: PhD, Mathematics, 2019, University of Michigan

URL: http://hdl.handle.net/2027.42/149907

► When does a Noetherian commutative ring R have uniform *symbolic* topologies (USTP) on primes – read, when does there exist an integer D>0 such that…
(more)

Subjects/Keywords: Symbolic Powers of Ideals in Noetherian Integral Domains; Rationally Singular Combinatorially Defined Algebras; Weil divisor class groups of Noetherian normal integral domains; Mathematics; Science

…We investigate two collections of ideals, namely, the regular and *symbolic* *powers* of
a… …the *symbolic*
*powers* of I are a family of ideals {I (N ) } in R indexed… …The reader should not infer from the above example that computation of *symbolic*
*powers* is… …easy. Indeed, *symbolic* *powers* are difficult to understand algebraically –
it is generally… …Nagata theorem says the *symbolic*- and
differential *powers* of I coincide (see [17, Thm…

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Walker, R. (2019). Uniform Symbolic Topologies in Non-Regular Rings. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/149907

Chicago Manual of Style (16^{th} Edition):

Walker, Robert. “Uniform Symbolic Topologies in Non-Regular Rings.” 2019. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/149907.

MLA Handbook (7^{th} Edition):

Walker, Robert. “Uniform Symbolic Topologies in Non-Regular Rings.” 2019. Web. 07 Aug 2020.

Vancouver:

Walker R. Uniform Symbolic Topologies in Non-Regular Rings. [Internet] [Doctoral dissertation]. University of Michigan; 2019. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/149907.

Council of Science Editors:

Walker R. Uniform Symbolic Topologies in Non-Regular Rings. [Doctoral Dissertation]. University of Michigan; 2019. Available from: http://hdl.handle.net/2027.42/149907