# Difference between revisions of "Summer 2019 Algebraic Geometry Reading Group"

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− | We plan to primarily use the newest version of Ravi Vakil's Foundations of Algebraic Geometry | + | We plan to primarily use the newest version of Ravi Vakil's The Rising Sea: Foundations of Algebraic Geometry, which can be found here: http://math.stanford.edu/~vakil/216blog/FOAGnov1817public.pdf. |

At times we may also use Hartshorne's Algebraic Geometry. | At times we may also use Hartshorne's Algebraic Geometry. |

## Revision as of 10:36, 18 April 2019

This is the page for the Summer 2019 Algebraic Geometry Reading Group.

## Resources

We plan to primarily use the newest version of Ravi Vakil's The Rising Sea: Foundations of Algebraic Geometry, which can be found here: http://math.stanford.edu/~vakil/216blog/FOAGnov1817public.pdf.

At times we may also use Hartshorne's Algebraic Geometry.

## Schedule

10 Total Weeks: May 13-31, June 24-August 9 Roughly 3 meetings per week for 1-1.5 hours each. Exact days will be determined based on the schedules of the participants.

**Optimistic reading schedule (all chapters from Vakil):**

**Week of May 13:** Ch. 3, Ch. 4 (Affine schemes, structure sheaf)

**Week of May 20:** Ch. 5, Start Ch. 6 (Properties of schemes, morphisms of schemes)

**Week of May 27:** Finish Ch. 6, Ch. 7 (Classes of morphisms of schemes)

**Week of June 24:** Ch. 8, Start Ch. 9 (Closed embeddings and Cartier divisors, fibered product of schemes)

**Week of July 1:** Finish Ch. 9, Ch. 10 (Separated and proper morphisms, varieties)

**Week of July 8:** Ch. 11, Start Ch. 12 (Dimension, regularity and smoothness)

**Week of July 15:** Finish Ch. 12, Ch. 13 (Quasicoherent and coherent sheaves)

**Week of July 22:** Ch. 14, Start Ch. 15 (Line bundles, projective schemes)

**Week of July 29:** Finish Ch. 15, Ch. 16 (Pushforwards and pullbacks of quasicoherent sheaves)

**Week of August 5:** Ch. 18, Ch. 19, Ch. 21 (Cech cohomology, curves, differentials)

## Comments, Questions and (hopefully) Answers

## Summer plans

If you feel like telling us your general plans for the summer, so that we'll know when you are around Madison, please do so here:

Caitlyn: out of town May 29-June 23 and Aug. 17-25