𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Real Enriques Surfaces

✍ Scribed by Alexander Degtyarev, Ilia Itenberg, Viatcheslav Kharlamov (auth.)

Book ID
127453215
Publisher
Springer
Year
2000
Tongue
English
Weight
2 MB
Edition
1
Category
Library
City
Berlin; New York
ISBN
3540399488
ISSN
0075-8434

No coin nor oath required. For personal study only.

✦ Synopsis

This is the first attempt of a systematic study of real Enriques surfaces culminating in their classification up to deformation. Simple explicit topological invariants are elaborated for identifying the deformation classes of real Enriques surfaces. Some of theses are new and can be applied to other classes of surfaces or higher-dimensional varieties. Intended for researchers and graduate students in real algebraic geometry it may also interest others who want to become familiar with the field and its techniques. The study relies on topology of involutions, arithmetics of integral quadratic forms, algebraic geometry of surfaces, and the hyperkΓ€hler structure of K3-surfaces. A comprehensive summary of the necessary results and techniques from each of these fields is included. Some results are developed further, e.g., a detailed study of lattices with a pair of commuting involutions and a certain class of rational complex surfaces.

✦ Subjects

Global Analysis and Analysis on Manifolds

πŸ“œ SIMILAR VOLUMES

On the moduli space of real Enriques sur
On the moduli space of real Enriques surfaces
✍ Alexander Degtyarev; Viatcheslav Kharlamov πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 512 KB

R&urn& We introduce a new invariant, Pontryagin-Viro form, of real algebraic surfaces. We evaluate it for real Enriques surfaces with non-negative minimal Euler characteristic of the components of the real part and prove that, when combined with the known topological invariants. it distinguishes the

Fake Enriques surfaces
Fake Enriques surfaces
✍ Christian Okonek πŸ“‚ Article πŸ“… 1988 πŸ› Elsevier Science 🌐 English βš– 954 KB
Enriques Surfaces I
Enriques Surfaces I
✍ F. Cossec, Dolgachev πŸ“‚ Library πŸ“… 1989 πŸ› BirkhΓ€user Boston 🌐 English βš– 2 MB
Enriques Surfaces I
Enriques Surfaces I
✍ FranΓ§ois R. Cossec, Igor V. Dolgachev (auth.) πŸ“‚ Library πŸ“… 1989 πŸ› BirkhΓ€user 🌐 English βš– 2 MB

This is the first of two volumes representing the current state of knowledge about Enriques surfaces which occupy one of the classes in the classification of algebraic surfaces. Recent improvements in our understanding of algebraic surfaces over fields of positive characteristic allowed us to approa