University of Connecticut

Course Info

MATH 5321: Algebraic Geometry II

Description: This course introduces further concepts and methods of modern algebraic geometry, including schemes and cohomology.

Prerequisites: MATH 5320.

Credits: 3

MATH 5321 - Section 1: Algebraic Geometry II

Description: We recall basic notions like schemes and sheaves, then move on to study (quasi)coherent sheaves, cohomology, divisor theory, projective morphisms, higher direct image sheaves, flatness, sheaves of differentials, smooth morphisms, and Bertini theorems. Time permitting, we will cover more advanced topics like Zariski's main theorem or base change for cohomology and geometric applications.

Prerequisites: MATH 5320, MATH 5211 and MATH 5310

Offered: Spring

Credits: 3

Sections: Spring 2018 on Storrs Campus

PSCourseID Course Sec Comp Time Room Instructor
15151 5321 001 Lecture TuTh 11:00:00 AM-12:15:00 PM MONT214 Fulger, Aurel