Proceedings of the 6th Annual Hawaii International Conference on AnĪbsolute and Relative View of Mirror Symmetry for Toric Varieties, Mathematics with Entertainment, submitted. A MirrorĬonjecture for Projective Bundles, International Mathematical Virtual FundamentalĬlass of Zero Loci and Mirror Theorems, Advances in TheoreticalĪnd Mathematical Physics No 6 (2004) 1101-1116. Spaces, International Journal of Mathematics and Mathematical Mirror Symmetry for Concavex Vector Bundles on Projective ![]() Gromov-Witten Theory, Quantum Cohomology and Interactions with HighĪspinwall-Morrison Calculation and Gromov-Witten Theory, Pacific Research area Algebraic geometry with emphasis on Mathematics Mailing address Department ofĤ400 Massachusetts Avenue, NW Washington, DC 20016, USA Nov 29, Dec 1: dimension, (co)tangent spaces, regularity/smoothness (12.1-12.4, 13.1-13.3)ĭec 6, Dec 8: discrete valuation rings, introduction to line bundles, sketches of theorems about curves (13.Artur Elezi's Home Page Home Page of Artur Nov 22: the category of k-varieties and rational maps, proper morphisms (7.5.6, 11.5) Nov 1-3: projective schemes, maps of projective schemes, Bezout's theorem, the Veronese embedding (4.5, 7.4, 9.3) Oct 25-27: the Lying Over theorem, closed embeddings, back to Proj (part of 8.2, 9.1, part of 4.5) Oct 11-13: non-reduced schemes, more properties of schemes and morphisms, affine-local properties (5.2-5.3, normality from 5.4, more of 8.3) ![]() Oct 4-6: A-schemes, k-valued points, properties of schemes and morphisms (the rest of 7.3, 5.1-5.2, some of 8.3) Sep 27-29: schemes, locally ringed spaces, non-affine schemes, projective space, morphisms of schemes (4.3-4.4, 7.1-7.2, some of 7.3) Sep 20-22: topological properties of Spec A, the dictionary between ring theory and scheme theory, the structure sheaf (3.6-3.7, 4.1) Sep 13-15: Spec A (as a set and topological space), functoriality (3.1-3.5) Sep 6-8: stalks, categories of (pre)sheaves, sheafification, abelian categories (2.3-2.4, 2.6) Rough schedule (with section numbers from FoAG - Note: a new version of FoAG was posted on Sep 2, so references are now to that version.):Īug 30-Sep 1: introduction to course, presheaves, sheaves, pushforwards (2.1-2.2) Problem Set 12 (due Thursday, December 8) Problem Set 11 (due Thursday, December 1) Problem Set 10 (due Thursday, November 17) Problem Set 9 (due Thursday, November 10) Problem Set 3 (due Thursday, September 29) Problem Set 2 (due Thursday, September 22) Problem Set 1 (due Thursday, September 15) Weekly problem sets will be posted here on Thursday afternoons and will be due on the following Thursday before class by e-mail (you should e-mail it to the grader and cc me on the e-mail - our addresses are in the course info link above) - please have the subject line be "631 - Problem Set N". ![]() I may set up a Canvas site for some logistical things, but the main course website will be here. We will be following Ravi Vakil's notes Foundations of Algebraic Geometry.Īs the semester progresses, I will post problem sets and a rough schedule of topics here. Please e-mail me if you'd like to meet on Nov 23 or Nov 29/30 on the following week, or if you have any questions that can be answered by e-mail. I won't have my usual scheduled office hours on Wednesday, November 23, Friday, November 25, or Monday, November 28. Course info for Math 631 (Algebraic Geometry I) is available here, including the current office hours schedule (M 12-1pm in EH 3842, W 8-9pm on Zoom (details in link above), F 2-3pm in EH 3842).
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