19030h
Undergraduate Course
SoSe 13: Proseminar: Syzgien und Kombinatorik
Elena Martinengo
Additional information / Pre-requisites
Voraussetzungen:
Grundvorlesungen
Wünschenswert:
Algebra oder Algebra und Zahlentheorie.
Wünschenswert:
Algebra oder Algebra und Zahlentheorie.
Comments
Inhalt:
Graduierte Ringe und Moduln, Graduierte Komplexe,
Hilbertfunktion und Hilbertpolynom, minimale freie Auflösung, Syzygie,
Bettizahlen and Bettitafeln, Koszulkomplexe, Hilberts Syzygiensatz,
Monomiale Ordnung und Gröbnerbasis, Berechnung in Singular und Macaulay2.
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Suggested reading
Literatur:
- David Eisenbud, Commutative algebra, with a view toward
algebraic geometry, Graduate Texts in Mathematics Vol. 150,
- David Eisenbud, Commutative algebra, with a view toward
algebraic geometry, Graduate Texts in Mathematics Vol. 150,
Springer-Verlag, 1995.
- David Eisenbud, The Geometry of Syzygies, Graduate Texts in Mathematics
Vol. 229, Springer-Verlag, 2004.
- Jürgen Herzog, Takayubi Hibi, Monomial Ideals, Graduate Texts in
Mathmatics Vol. 260, Springr-Verlag, 2011.
- Ezra Miller, Bernd Sturmfels, Combinatorial commutative algebra, Graduate
Texts in Mathematics Vol. 227, Springer-Verlag, 2004.
- Irena Peeva, Graded Syzygies, Algebra and Applications 14,
Springer-Verlag, 2011.
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- David Eisenbud, Commutative algebra, with a view toward algebraic geometry, Graduate Texts in Mathematics Vol. 150,
- David Eisenbud, Commutative algebra, with a view toward algebraic geometry, Graduate Texts in Mathematics Vol. 150, Springer-Verlag, 1995.
- David Eisenbud, The Geometry of Syzygies, Graduate Texts in Mathematics Vol. 229, Springer-Verlag, 2004.
- Jürgen Herzog, Takayubi Hibi, Monomial Ideals, Graduate Texts in Mathmatics Vol. 260, Springr-Verlag, 2011.
- Ezra Miller, Bernd Sturmfels, Combinatorial commutative algebra, Graduate Texts in Mathematics Vol. 227, Springer-Verlag, 2004.
- Irena Peeva, Graded Syzygies, Algebra and Applications 14, Springer-Verlag, 2011.
13 Class schedule
Regular appointments
Wed, 2013-04-10 10:00 - 12:00
Wed, 2013-04-17 10:00 - 12:00
Wed, 2013-04-24 10:00 - 12:00
Wed, 2013-05-08 10:00 - 12:00
Wed, 2013-05-15 10:00 - 12:00
Wed, 2013-05-22 10:00 - 12:00
Wed, 2013-05-29 10:00 - 12:00
Wed, 2013-06-05 10:00 - 12:00
Wed, 2013-06-12 10:00 - 12:00
Wed, 2013-06-19 10:00 - 12:00
Wed, 2013-06-26 10:00 - 12:00
Wed, 2013-07-03 10:00 - 12:00
Wed, 2013-07-10 10:00 - 12:00
Inhalt:
Graduierte Ringe und Moduln, Graduierte Komplexe, Hilbertfunktion und Hilbertpolynom, minimale freie Auflösung, Syzygie, Bettizahlen and Bettitafeln, Koszulkomplexe, Hilberts ...
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