منابع مشابه
On Severi varieties on Hirzebruch surfaces
In the current paper we prove that any Severi variety on a Hirzebruch surface contains a unique component parameterizing irreducible nodal curves of the given genus in characteristic zero.
متن کاملSome Remarks on the Severi Varieties of Surfaces in P3
Continuing the work of Chiantini and Ciliberto (1999) on the Severi varieties of curves on surfaces in P3, we complete the proof of the existence of regular components for such varieties. 2000 Mathematics Subject Classification. 14H10, 14B07.
متن کاملSome Remarks on the Severi Varieties of Surfaces in P
Continuing the work of Chiantini and Ciliberto on the Severi varieties of curves on surfaces in P, we complete the proof of the existence of regular components for such varieties. 2000 Mathematics Subject Classification. Primary 14H10, 14B07
متن کاملOn the Severi Varieties of Surfaces in P
For a smooth surface S in P 3 of degree d and for positive integers n, δ, the Severi variety V 0 n,δ (S) is the subvariety of the linear system |O S (n)| which parametrizes curves with δ nodes. We show that for S general, n ≥ d and for all δ with 0 ≤ δ ≤ dim(|O S (n)|), then V 0 n,δ (S) has at least one component which is reduced, of the expected dimension dim(|O S (n)|) − δ. We also construct ...
متن کاملCycles on Severi - Brauer Varieties
For a given sequence of integers (n i) 1 i=1 we consider all the central simple algebras A (over all elds) satisfying the condition ind A i = n i and nd among them an algebra having the biggest torsion in the second Chow group CH 2 of the corresponding Severi-Brauer variety (\biggest" means that it can be mapped epimorphically onto each other). We describe this biggest torsion in a way in gener...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2007
ISSN: 1687-0247,1073-7928
DOI: 10.1093/imrn/rnm109