Thesis Chapters by Alessandro Bigazzi
A detailed essay about Castelnuovo-Mumford regularity definition and generalizations. Two differe... more A detailed essay about Castelnuovo-Mumford regularity definition and generalizations. Two differemt approaches are carried over: firstly a commutative-algebra based characterization for graded modules and then the second one, following Mumford's geometric definitions. The two topics are finally joint to produce a significant idea of regularity for projective varieties, of which curves play a remarkable role in this theory.
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Thesis Chapters by Alessandro Bigazzi