https://wiki.devclub.in/index.php?action=history&feed=atom&title=MTL755 2026-04-09T06:03:41Z Revision history for this page on the wiki MediaWiki 1.45.1 https://wiki.devclub.in/index.php?title=MTL755&diff=1650&oldid=prev 2026-03-04T10:14:50Z

<p>Creating course page via bot</p> <p><b>New page</b></p><div>{{Infobox Course<br /> | code = MTL755<br /> | name = Algebraic Geometry<br /> | credits = 3<br /> | credit_structure = 3-0-0<br /> | pre_requisites = MTL105/MTL501<br /> | overlaps = <br /> }}<br /> <br /> == MTL755 : Algebraic Geometry ==<br /> Rings of polynomials and their quotients, local rings, DVR, modules, free modules, exact sequences. Affine algebraic sets, The Hilbert basis theorem. Hilbert&#039;s Nullstellansatz. Affine varieties: Coordinate rings, polynomial maps, coordinate changes, rational functions. Local Properties of plane curves: Multiple points, tangent lines, multiplicities and local rings, intersection number. Projective varieties: projective algebraic sets, projective plane curves, linear systems of curves, Bezout&#039;s theorem, Max Noether&#039;s fundamental theorem and its applications. Variety, Morphisms and Rational maps: The Zariski topology, varieties and their morphism, dimension of varieties, rational maps. Resolution of sigularies: Blowing up a point in affine and projective planes, quadratic transformations and nonsingular models of curves.</div>

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