| 000 | 02773nam a22004935i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-26503-0 | ||
| 003 | DE-He213 | ||
| 005 | 20161121230931.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2005 gw | s |||| 0|eng d | ||
| 020 |
_a9783540265030 _9978-3-540-26503-0 |
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| 024 | 7 |
_a10.1007/b137713 _2doi |
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| 050 | 4 | _aQA251.3 | |
| 072 | 7 |
_aPBF _2bicssc |
|
| 072 | 7 |
_aMAT002010 _2bisacsh |
|
| 082 | 0 | 4 |
_a512.44 _223 |
| 100 | 1 |
_aVasconcelos, Wolmer. _eauthor. |
|
| 245 | 1 | 0 |
_aIntegral Closure _h[electronic resource] : _bRees Algebras, Multiplicities, Algorithms / _cby Wolmer Vasconcelos. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2005. |
|
| 300 |
_aXII, 520 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aSpringer Monographs in Mathematics, _x1439-7382 |
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| 505 | 0 | _aNumerical Invariants of a Rees Algebra -- Hilbert Functions and Multiplicities -- Depth and Cohomology of Rees Algebras -- Divisors of a Rees Algebra -- Koszul Homology -- Integral Closure of Algebras -- Integral Closure and Normalization of Ideals -- Integral Closure of Modules -- HowTo. | |
| 520 | _aIntegral Closure gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. These are shared concerns in commutative algebra, algebraic geometry, number theory and the computational aspects of these fields. The overall goal is to determine and analyze the equations of the assemblages of the set of solutions that arise under various processes and algorithms. It gives a comprehensive treatment of Rees algebras and multiplicity theory - while pointing to applications in many other problem areas. Its main goal is to provide complexity estimates by tracking numerically invariants of the structures that may occur. This book is intended for graduate students and researchers in the fields mentioned above. It contains, besides exercises aimed at giving insights, numerous research problems motivated by the developments reported. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aAlgebraic geometry. | |
| 650 | 0 | _aCommutative algebra. | |
| 650 | 0 | _aCommutative rings. | |
| 650 | 0 | _aNumber theory. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aCommutative Rings and Algebras. |
| 650 | 2 | 4 | _aAlgebraic Geometry. |
| 650 | 2 | 4 | _aNumber Theory. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540255406 |
| 830 | 0 |
_aSpringer Monographs in Mathematics, _x1439-7382 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/b137713 |
| 912 | _aZDB-2-SMA | ||
| 950 | _aMathematics and Statistics (Springer-11649) | ||
| 999 |
_c506105 _d506105 |
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