MATH 7314 — Algebraic Geometry 1

4 semester hoursGraduateLecturetypical days: ThBostonTraditional

Concentrates on the techniques of algebraic geometry arising from commutative and homological algebra, beginning with a discussion of the basic results for general algebraic varieties, and developing the necessary commutative algebra as needed. Considers affine and projective varieties, morphisms of algebraic varieties, regular and singular points, and normality. Discusses algebraic curves, with a closer look at the relations between the geometry, algebra, and function theories. Examines the Riemann-Roch theorem with its many applications to the study of the geometry of curves. Studies the singularities of curves.

Prerequisites

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TermSectionsEnrolledCapacityFullOpen seats/section
Spring 20241112348%12.0

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Unlocks

MATH 7319, MATH 7320

Courses that list MATH 7314 in their prerequisites.

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