Department of Mathematics
INDIAN INSTITUTE OF SCIENCE
Home
(current)
Research
Research Areas
All Publications
Faculty Publications (by author)
Research Landscape
Academic Review Reports
People
Chair & Committees
Faculty
Honorary Faculty
NMI Distinguished Associates
Inspire Fellows/DST Young Scientists
Instructors
Postdocs
Visitors
STUDENTS
Ph.D.
Integrated Ph.D.
Interdisciplinary Ph.D.
ALUMNI
Faculty
Inspire Faculty and DST scientists
Postdocs
Ph.D.
Undergraduate
Staff
Project Staff
Academics
COURSES
Current & Upcoming
Course Schedule
Academic Calendar
Final Examination Schedule
Catalogue
Mathematics Intranet
DEGREE PROGRAMMES
Ph.D. Programme
Integrated Ph.D. Programme
Undergraduate Programme
B.Tech Maths & Computing
RESOURCES
Student Information Handbook
Scheme of Instruction
Undergrad Scheme of Instruction
Jobs
Faculty
Postdoctoral
News & Events
Seminars
News & Announcements
Events
Eigenfunctions Seminars
Thesis colloquium/defence
Bangalore Probability Seminar
Algebra & Combinatorics Seminar
Geometry & Topology Seminar
Number Theory Seminar
APRG Seminar
Student Seminars
Students' Topology & Geometry Seminars
"Cult of Categories" seminar
Resources
IISc Mail
IISc Course Registration
MathSciNet
Computer/Network FAQs
Changed E-mails (at IISc)
Mathematics Library
NBHM Regional Library
IFCAM
NMI
Chair & Committees
Contact Us
UTILITIES
Comprehensive Report Templates
TA form
Department Forms
IISc SAP S/4 HANA
Samadhan
Opportunities
MA 308: Basic Algebraic Geometry
Credits: 3:0
Prerequisite courses: Algebra II (MA 213).
Pre-requisites :
The course will assume that that the student is comfortable with Abstract Algebra at the level of Galois theory.
We will develop all the Commutative algebra that we will need.
The material to be covered will include:
Affine algebraic sets: Zariski topology, irreducible components, Hilbert Nullstellensatz theorem, maps of algebraic sets
Algebraic varieties: Definitions, affine algebraic varieties, projective varieties, morphisms
Rational functions and rational maps
Algebraic curves, B´ezout’s theorem * Reimann-Roch theorem
Suggested books and references:
William D. Fulton,
Algebraic curves
, available free (and legally) at http://www.math.lsa.umich.edu/ wfulton/CurveBook.pdf.
All Courses
Contact
:
+91 (80) 2293 2711, +91 (80) 2293 2265 ;
E-mail:
chair.math[at]iisc[dot]ac[dot]in
Last updated: 17 May 2024