Serres_Tor-Formel_und_Reduk.../bibliography.bib
2017-09-21 18:14:43 +02:00

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@book{serre2000local,
title={Local Algebra},
author={Serre, Jean-Pierre},
translator={Chin, CheeWhye},
series={Springer Monographs in Mathematics},
year={2000},
publisher={Springer Berlin Heidelberg}
}
@book{roberts1998multiplicities,
title={Multiplicities and Chern Classes in Local Algebra},
author={Roberts, Paul C.},
series={Cambridge Tracts in Mathematics},
year={1998},
publisher={Cambridge University Press}
}
@book{eisenbud2004commutative,
title={Commutative Algebra},
subtile={with a View Toward Algebraic Geometry},
author={Eisenbud, David},
series={Graduate Texts in Mathematics},
year={2004},
publisher={Springer New York}
}
@unpublished{ash2003acourse,
author = {Ash, Robert B.},
title = {A Course In Commutative Algebra},
year = 2003,
url = {http://www.math.uiuc.edu/~r-ash/ComAlg.html},
urldate = {2017-08-16}
}
@book{cartan1956homological,
title={Homological Algebra},
author={Cartan, Henri and Eilenberg, Samuel},
series={Princeton Mathematical Series},
year={1956},
publisher={Princeton University Press}
}
@book{bourbaki2006algebre,
title={Algèbre commutative},
subtitle={Chapitres 1 à 4},
author={Bourbaki, Nicolas},
year={2006},
publisher={Springer Berlin Heidelberg}
}
@article{EGA,
title={Éléments de géométrie algébrique},
author={Grothendieck, Alexander and Dieudonné, Jean},
year={1961--1967},
volume={4 (Chapter 0, 17, and I, 110), 8 (II, 18), 11 (Chapter 0, 813, and III, 15), 17 (III, 67), 20 (Chapter 0, 14
23, and IV, 1), 24 (IV, 27), 28 (IV, 815), 32 ((IV, 1621)},
journal={Publications Mathématiques de l'Institut des Hautes Études Scientifiques}
}
@article{bardavid11aneffective,
title={An Effective Description of {$k[[X]] \otimes_k k[[Y]]$}},
author={Bardavid, Colas},
year={2011},
volume={5},
number={18},
pages={873 - 882},
journal={International Journal of Algebra},
}
@article{auslander59unique,
title={Unique factorization in regular local rings},
author={Auslander, Maurice and Buchsbaum, David Alvin},
year={1959},
volume={45},
pages={733 734},
journal={Proceedings of the National Academy of Sciences of the United States of America},
}
@book{kaplansky1974commutative,
title={Commutative Rings},
author={Kaplansky, Irving},
series={Chicago Lectures in Mathematics},
year={1974},
publisher={University of Chicago Press}
}
@article{cohen46onthestructure,
title={On the structure and ideal theory of complete local rings},
author={Cohen, Irvin S.},
year={1946},
volume={59},
pages={54 - 106},
journal={Transactions of the American Mathematical Society},
}
@book{samuel1967methodes,
title={Méthodes d'algèbre abstraite en géométrie algébrique},
author={Samuel, Pierre},
series={Ergebnisse der Mathematik und Ihrer Grenzgebiete},
year={1967},
publisher={Springer Berlin Heidelberg}
}
@article{roberts1998recent,
title={Recent developments on Serres multiplicity conjec-
tures},
author={Roberts, Paul C.},
subtitle={Gabbers proof of the nonnegativity conjecture},
year={1998},
volume={44},
pages={305 - 324},
journal={LEnseignement Mathématique}
}
@book{fulton1998intersection,
title={Intersection Theory},
author={Fulton, William},
series={Ergebnisse der Mathematik und ihrer Grenzgebiete},
year={1998},
publisher={Springer New York}
}
@book{weibel1995introduction,
title={An Introduction to Homological Algebra},
author={Weibel, Charles A.},
series={Cambridge Studies in Advanced Mathematics},
year={1995},
publisher={Cambridge University Press}
}