Algebraic theory of affine monoids

This thesis treats several aspects of affine monoids. First, we consider the structure of the set of holes of an affine monoid Q. This set is the difference between Q and its normalization. We find connections to algebraic properties of the monoi algebra K[Q] and in particular to its local cohom...

Fuld beskrivelse

Bibliografiske detaljer

Hovedforfatter:	Katthän, Lukas
Andre forfattere:	Welker, Volkmar (Prof. Dr.) (BetreuerIn (Doktorarbeit))
Format:	Dissertation
Sprog:	engelsk
Udgivet:	Philipps-Universität Marburg 2013
Fag:	Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) Polynomial rings and ideals; rings of integer-valued polynomials Affines Monoid Mathematik Affine monoid Kohomologie Kombinatorik affine monoid algebra Symmetrische Gruppe Halbgruppenring Lattice polytopes (including relations with commutative algebra and algebraic geometry) toric ideals Mathematics
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