The antibirational involutions of the plane and the classification of real del Pezzo surfaces

Chapters in this book

1. Frontmatter i
2. Table of Contents ix
3. Formal functions, connectivity and homogeneous spaces 1
4. On algebraic 1-motives related to Hodge cycles 25
5. The Szpiro inequality for higher genus fibrations 61
6. On regular surfaces of general type with pg = 2 and non-birational bicanonical map 65
7. Canonical projections of irregular algebraic surfaces 79
8. On surfaces with pg = 2, q = 1 and non-birational bicanonical map 117
9. On unirationality of double covers of fixed degree and large dimension; a method of Ciliberto 127
10. Weighted Grassmannians 141
11. Resolution of indeterminacy of pairs 165
12. The Chow motive of the Godeaux surface 179
13. Francia’s flip and derived categories 197
14. On the quadric hull of a canonical surface 217
15. A note on Bogomolov’s instability and Higgs sheaves 237
16. Jets of antimulticanonical bundles on Del Pezzo surfaces of degree ≤ 2 257
17. A survey on the bicanonical map of surfaces with pg = 0 and K2 ≥ 2 277
18. The antibirational involutions of the plane and the classification of real del Pezzo surfaces 289
19. Letters of a bi-rationalist IV. Geometry of log flips 313
20. A method for tracking singular paths with application to the numerical irreducible decomposition 329
21. Backmatter 347