PK BQ imsmanifest.xml
IMS Content
1.1
OCW
CWSpace
0.1
Algebraic Geometry
OCW Master Course Number
18.726
Spring 2009
OCW_LOMv1.0
Author
Kedlaya, Kiran
2020-12-24
OCW Course Topics
Mathematics
Algebra and Number Theory
OCW Course Topics
Mathematics
Topology and Geometry
contents/index.htm.xml
Algebraic Geometry
-
Algebraic Geometry
-
A commutative diagram expressing the universal property of a categorical pullback
-
A commutative diagram expressing the universal property of a categorical pullback
-
Syllabus
-
Lecture Notes
-
GAGA
-
More properties of schemes
-
Spectral sequences and Čech cohomology
-
Hilbert polynomials and flatness
-
Cohen-Macaulay schemes and Serre duality
-
Dualizing sheaves and Riemann-Roch
-
Divisors, linear systems, and projective embeddings
-
Flat morphisms and descent
-
Sheaves
-
Projective morphisms, part 2
-
Higher Riemann-Roch
-
Sheaves of modules
-
Differentials
-
More properties of morphisms
-
Divisors on curves and Riemann-Roch
-
Cohomology of quasicoherent sheaves
-
Sheaf cohomology
-
More on abelian sheaves
-
Category theory
-
Homological algebra
-
Projective morphisms, part 1
-
Cohomology of projective space
-
Schemes
-
Morphisms of schemes
-
Étale cohomology
-
Introduction
-
Serre duality for projective space
-
Assignments
-
Problem Set 12
-
Problem Set 9
-
Problem Set 2
-
Problem Set 1
-
Problem Set 3
-
Problem Set 7
-
Problem Set 11
-
Problem Set 5
-
Problem Set 10
-
Problem Set 6
-
Problem Set 4
-
Problem Set 8
-
Student Q&A
-
Legal Notices
-
Privacy Statement
-
Trademark Notices
contents/18-726s09-th.jpg.xml
contents/lecture-notes/MIT18_726s09_lec27_etale_cohom.pdf.xml
contents/assignments/MIT18_726s09_pset12.pdf.xml
contents/assignments/MIT18_726s09_pset07.pdf.xml
contents/lecture-notes/MIT18_726s09_lec04_abelian_sheaves.pdf.xml
contents/lecture-notes/MIT18_726s09_lec12_flat.pdf.xml
contents/lecture-notes/MIT18_726s09_lec03_sheaves.pdf.xml
contents/lecture-notes/MIT18_726s09_lec21_spectral.pdf.xml
contents/assignments/MIT18_726s09_pset03.pdf.xml
contents/lecture-notes/MIT18_726s09_lec25_serre_dual.pdf.xml
contents/lecture-notes/MIT18_726s09_lec15_divisors2.pdf.xml
contents/lecture-notes/MIT18_726s09_lec13_differentials.pdf.xml
contents/lecture-notes/index.htm.xml
contents/lecture-notes/MIT18_726s09_lec19_cohomproj.pdf.xml
contents/lecture-notes/MIT18_726s09_lec05_schemes.pdf.xml
contents/assignments/MIT18_726s09_pset08.pdf.xml
contents/lecture-notes/MIT18_726s09_lec24_dualizing.pdf.xml
contents/lecture-notes/MIT18_726s09_lec10_projective2.pdf.xml
contents/lecture-notes/MIT18_726s09_lec01_intro.pdf.xml
contents/assignments/MIT18_726s09_pset02.pdf.xml
contents/lecture-notes/MIT18_726s09_lec17_sheafcoh.pdf.xml
contents/lecture-notes/MIT18_726s09_lec11_more_schemes.pdf.xml
contents/assignments/MIT18_726s09_pset04.pdf.xml
contents/lecture-notes/MIT18_726s09_lec23_serre_dual_proj.pdf.xml
contents/assignments/MIT18_726s09_pset01.pdf.xml
contents/lecture-notes/MIT18_726s09_lec07_modules.pdf.xml
contents/lecture-notes/MIT18_726s09_lec18_sheafquasi.pdf.xml
contents/lecture-notes/MIT18_726s09_lec16_homalg.pdf.xml
contents/student-q-a/index.htm.xml
contents/assignments/index.htm.xml
contents/assignments/MIT18_726s09_pset06.pdf.xml
contents/lecture-notes/MIT18_726s09_lec06_morphisms.pdf.xml
contents/syllabus/index.htm.xml
contents/assignments/MIT18_726s09_pset09.pdf.xml
contents/lecture-notes/MIT18_726s09_lec08_finite_type.pdf.xml
contents/lecture-notes/MIT18_726s09_lec26_higher_riemann_roch.pdf.xml
contents/index.htm.xml
contents/lecture-notes/MIT18_726s09_lec02_categories.pdf.xml
contents/assignments/MIT18_726s09_pset05.pdf.xml
contents/lecture-notes/MIT18_726s09_lec09_projective.pdf.xml
contents/18-726s09.jpg.xml
contents/lecture-notes/MIT18_726s09_lec22_gaga.pdf.xml
contents/assignments/MIT18_726s09_pset11.pdf.xml
contents/lecture-notes/MIT18_726s09_lec14_divisors.pdf.xml
contents/assignments/MIT18_726s09_pset10.pdf.xml
contents/lecture-notes/MIT18_726s09_lec20_hilbpoly.pdf.xml
PK ׄQ~3! 18-726-spring-2009/ReadMe.txtThis zip package contains the HTML pages and files associated with the course.
Some materials - such as videos, java applets, and other special content - are not posted on the OCW server, and are therefore not part of this package. This prevents zip packages from becoming too large for download. To download these resources to your computer, please read the FAQ at https://ocw.mit.edu/help/faq-technology/ .
Use of the materials in this package are governed by the same Creative Commons license as all other materials published on MIT OpenCourseWare. For more information, see https://ocw.mit.edu/terms .
If you have any trouble using this package, please contact us at ocw@mit.edu .PK ׄQ%aD6 6 18-726-spring-2009/START.htm
MIT OpenCourseWare | Welcome
Welcome to MIT Open Course Ware. You will be automatically redirected to Home. If you aren not forwarded to the new page, Click here to access the home page of the downloaded Click Here
PK BQ2 "M8 8 ) 18-726-spring-2009/contents/18-726s09.jpg JFIF d d Ducky d Adobe d @@
!1Q#x Aq"37W8Xa2C$5u4%bScBe ? .S`,W)|Zodai+e
IVjJ%2bV4(7rA)*xk1%; WjE`ZI)CJ1-71Ւ4ș\[i[T諺pە)(X|w\~EbKҖ8gaDC