121 lines
3.3 KiB
BibTeX
121 lines
3.3 KiB
BibTeX
@book{serre2000local,
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title={Local Algebra},
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author={Serre, Jean-Pierre},
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translator={Chin, CheeWhye},
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series={Springer Monographs in Mathematics},
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year={2000},
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publisher={Springer Berlin Heidelberg}
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}
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@book{roberts1998multiplicities,
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title={Multiplicities and Chern Classes in Local Algebra},
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author={Roberts, Paul C.},
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series={Cambridge Tracts in Mathematics},
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year={1998},
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publisher={Cambridge University Press}
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}
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@book{eisenbud2004commutative,
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title={Commutative Algebra},
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subtile={with a View Toward Algebraic Geometry},
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author={Eisenbud, David},
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series={Graduate Texts in Mathematics},
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year={2004},
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publisher={Springer New York}
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}
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@unpublished{ash2003acourse,
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author = {Ash, Robert B.},
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title = {A Course In Commutative Algebra},
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year = 2003,
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url = {http://www.math.uiuc.edu/~r-ash/ComAlg.html},
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urldate = {2017-08-16}
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}
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@book{cartan1956homological,
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title={Homological Algebra},
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author={Cartan, Henri and Eilenberg, Samuel},
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series={Princeton Mathematical Series},
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year={1956},
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publisher={Princeton University Press}
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}
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@book{bourbaki2006algebre,
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title={Algèbre commutative},
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subtitle={Chapitres 1 à 4},
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author={Bourbaki, Nicolas},
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year={2006},
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publisher={Springer Berlin Heidelberg}
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}
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@article{EGA,
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title={Éléments de géométrie algébrique},
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author={Grothendieck, Alexander and Dieudonné, Jean},
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year={1961--1967},
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volume={4 (Chapter 0, 1–7, and I, 1–10), 8 (II, 1–8), 11 (Chapter 0, 8–13, and III, 1–5), 17 (III, 6–7), 20 (Chapter 0, 14–
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23, and IV, 1), 24 (IV, 2–7), 28 (IV, 8–15), 32 ((IV, 16–21)},
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journal={Publications Mathématiques de l'Institut des Hautes Études Scientifiques}
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}
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@article{bardavid11aneffective,
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title={An Effective Description of {$k[[X]] \otimes_k k[[Y]]$}},
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author={Bardavid, Colas},
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year={2011},
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volume={5},
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number={18},
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pages={873 - 882},
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journal={International Journal of Algebra},
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}
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@article{auslander59unique,
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title={Unique factorization in regular local rings},
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author={Auslander, Maurice and Buchsbaum, David Alvin},
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year={1959},
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volume={45},
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pages={733 – 734},
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journal={Proceedings of the National Academy of Sciences of the United States of America},
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}
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@book{kaplansky1974commutative,
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title={Commutative Rings},
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author={Kaplansky, Irving},
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series={Chicago Lectures in Mathematics},
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year={1974},
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publisher={University of Chicago Press}
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}
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@article{cohen46onthestructure,
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title={On the structure and ideal theory of complete local rings},
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author={Cohen, Irvin S.},
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year={1946},
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volume={59},
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pages={54 - 106},
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journal={Transactions of the American Mathematical Society},
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}
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@book{samuel1967methodes,
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title={Méthodes d'algèbre abstraite en géométrie algébrique},
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author={Samuel, Pierre},
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series={Ergebnisse der Mathematik und Ihrer Grenzgebiete},
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year={1967},
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publisher={Springer Berlin Heidelberg}
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}
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@article{roberts1998recent,
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title={Recent developments on Serre’s multiplicity conjec-
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tures},
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author={Roberts, Paul C.},
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subtitle={Gabber’s proof of the nonnegativity conjecture},
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year={1998},
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volume={44},
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pages={305 - 324},
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journal={L’Enseignement Mathématique}
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}
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@book{fulton1998intersection,
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title={Intersection Theory},
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author={Fulton, William},
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series={Ergebnisse der Mathematik und ihrer Grenzgebiete},
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year={1998},
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publisher={Springer New York}
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}
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