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Algebraic Geometry: Notes on a Course
About this Title
Michael Artin, Massachusetts Institute of Technology, Cambridge, MA
Publication: Graduate Studies in Mathematics
Publication Year:
2022; Volume 222
ISBNs: 978-1-4704-6848-4 (print); 978-1-4704-7110-1 (online)
DOI: https://doi.org/10.1090/gsm/222
Table of Contents
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Front/Back Matter
Chapters
- Plane curves
- Affine algebraic geometry
- Projective algebraic geometry
- Integral morphisms
- Structure of varieties in the Zariski topology
- Modules
- Cohomology
- The Riemann-Roch Theorem for curves
- Background
- William Fulton, Algebraic curves, 2008. Available on the web at https://www.math.lsa.umich.edu/~wfulton/CurveBook.pdf.
- David Mumford, Algebraic geometry. I, Grundlehren der Mathematischen Wissenschaften, No. 221, Springer-Verlag, Berlin-New York, 1976. Complex projective varieties. MR 453732
- Joe Harris, Algebraic geometry, Graduate Texts in Mathematics, vol. 133, Springer-Verlag, New York, 1992. A first course. MR 1182558, DOI 10.1007/978-1-4757-2189-8
- Steven Dale Cutkosky, Introduction to algebraic geometry, Graduate Studies in Mathematics, vol. 188, American Mathematical Society, Providence, RI, 2018. MR 3791837, DOI 10.1090/gsm/188
- Robin Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, No. 52, Springer-Verlag, New York-Heidelberg, 1977. MR 463157
- Phillip Griffiths and Joseph Harris, Principles of algebraic geometry, Wiley Classics Library, John Wiley & Sons, Inc., New York, 1994. Reprint of the 1978 original. MR 1288523, DOI 10.1002/9781118032527
- Rick Miranda, Algebraic curves and Riemann surfaces, Graduate Studies in Mathematics, vol. 5, American Mathematical Society, Providence, RI, 1995. MR 1326604, DOI 10.1090/gsm/005
- David A. Cox, John Little, and Donal O’Shea, Using algebraic geometry, 2nd ed., Graduate Texts in Mathematics, vol. 185, Springer, New York, 2005. MR 2122859
- Paul Moritz Cohn, Algebra. Vol. 2, John Wiley & Sons, London-New York-Sydney, 1977. With errata to Vol. I. MR 530404
- Serge Lang, Algebra, 3rd ed., Graduate Texts in Mathematics, vol. 211, Springer-Verlag, New York, 2002. MR 1878556, DOI 10.1007/978-1-4613-0041-0
- Arnaud Beauville, Complex algebraic surfaces, 2nd ed., London Mathematical Society Student Texts, vol. 34, Cambridge University Press, Cambridge, 1996. Translated from the 1978 French original by R. Barlow, with assistance from N. I. Shepherd-Barron and M. Reid. MR 1406314, DOI 10.1017/CBO9780511623936
- Jean-Pierre Serre, Algebraic groups and class fields, Graduate Texts in Mathematics, vol. 117, Springer-Verlag, New York, 1988. Translated from the French. MR 918564, DOI 10.1007/978-1-4612-1035-1