Serres_Tor-Formel_und_Reduktion_auf_die_Diagonale/bibliography.bib

@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@unpublished{ash2003acourse,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, 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–
23, and IV, 1), 24 (IV, 2–7), 28 (IV, 8–15), 32 ((IV, 16–21)},
  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 Serre’s multiplicity conjec-
tures},
  author={Roberts, Paul C.},
  subtitle={Gabber’s proof of the nonnegativity conjecture},
  year={1998},
  volume={44},
  pages={305 - 324},
  journal={L’Enseignement Mathématique}
}

@book{fulton1998intersection,
  title={Intersection Theory},
  author={Fulton, William},
  series={Ergebnisse der Mathematik und ihrer Grenzgebiete},
  year={1998},
  publisher={Springer New York}
}