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Generalized Kummer surfaces and differentiable invariants of Noether-Horikawa surfaces 1

Technical Report:

Abstract

The moduli spaces M of surfaces of general type with a fixed topological type are known to have several connected components: there is a map {pi}{sub 0} (M) {yields} Diff, where Diff is the set of differentiable types of 4-manifolds. The unsolved question is whether this map is injective or not. The simplest surfaces of general type for which the moduli space is known to be disconnected are the so called Noether-Horikawa surfaces, for which one should try to calculate the Donaldson differentiable invariants. 28 refs.
Authors:
Publication Date:
Nov 01, 1994
Product Type:
Technical Report
Report Number:
IC-94/341
Reference Number:
SCA: 661100; 662100; PA: AIX-26:012167; EDB-95:031973; SN: 95001324644
Resource Relation:
Other Information: PBD: Nov 1994
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; MATHEMATICAL MANIFOLDS; TOPOLOGICAL MAPPING; SURFACES; MATHEMATICAL OPERATORS; GROUP THEORY; IRREDUCIBLE REPRESENTATIONS; MAPPING FIBRATION; MATHEMATICAL SPACE; METRICS; NONUNITARY REPRESENTATIONS; SINGULARITY; SO-3 GROUPS; 661100; 662100; CLASSICAL AND QUANTUM MECHANICS; GENERAL THEORY OF PARTICLES AND FIELDS
OSTI ID:
10112409
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE95613382; CNN: Contract SCI-0398-C(A); TRN: XA9438648012167
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
55 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Catanese, F. Generalized Kummer surfaces and differentiable invariants of Noether-Horikawa surfaces 1. IAEA: N. p., 1994. Web.
Catanese, F. Generalized Kummer surfaces and differentiable invariants of Noether-Horikawa surfaces 1. IAEA.
Catanese, F. 1994. "Generalized Kummer surfaces and differentiable invariants of Noether-Horikawa surfaces 1." IAEA.
@misc{etde_10112409,
title = {Generalized Kummer surfaces and differentiable invariants of Noether-Horikawa surfaces 1}
author = {Catanese, F}
abstractNote = {The moduli spaces M of surfaces of general type with a fixed topological type are known to have several connected components: there is a map {pi}{sub 0} (M) {yields} Diff, where Diff is the set of differentiable types of 4-manifolds. The unsolved question is whether this map is injective or not. The simplest surfaces of general type for which the moduli space is known to be disconnected are the so called Noether-Horikawa surfaces, for which one should try to calculate the Donaldson differentiable invariants. 28 refs.}
place = {IAEA}
year = {1994}
month = {Nov}
}