Anzeige
Erschienen in:
2009 | OriginalPaper | Buchkapitel
Patchworking of algebraic varieties
Erschienen in: Tropical Algebraic Geometry
Verlag: Birkhäuser Basel
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
Consider the diagram
where
Y
is a germ of a 1-parameter flat
1
family of algebraic varieties with dim
Y
≥3, such that the fibres
Y
t
are reduced irreducible for
t
#0, and the central fibre
Y
0
splits into a few reduced components. Further on,
X
is a germ of a 1-parameter flat family of subvarieties
X
t
у
Y
t
for
t
∈ (ℂ, 0). When considering the diagram (2.1) over the reals, we assume that
X
and
Y
are equipped with a complex conjugation which commutes with the projections, and we restrict the parameter range to
t
∈ [0, τ), τ>0, taking the respective preimages in
X
and
Y
.