On nodal curves

1983 ◽  
pp. 146-155 ◽  
Author(s):  
William Fulton
Keyword(s):  
Nodal Curves

scholarly journals EXTENSIONS AND RANK-2 VECTOR BUNDLES ON IRREDUCIBLE NODAL CURVES

2005 ◽  
Vol 16 (10) ◽  
pp. 1081-1118
Author(s):  
D. ARCARA
Keyword(s):  
Moduli Space ◽  
Vector Bundles ◽  
Rational Map ◽  
Nodal Curves ◽  
Nodal Curve ◽  
Stable Vector Bundles ◽  
Rank 2 ◽  
Rank 2 Vector Bundles

We generalize Bertram's work on rank two vector bundles to an irreducible projective nodal curve C. We use the natural rational map [Formula: see text] defined by [Formula: see text] to study a compactification [Formula: see text] of the moduli space [Formula: see text] of semi-stable vector bundles of rank 2 and determinant L on C. In particular, we resolve the indeterminancy of ϕL in the case deg L = 3,4 via a sequence of three blow-ups with smooth centers.

scholarly journals On the geometry of Abel maps for nodal curves

2015 ◽  
Vol 64 (1) ◽  
pp. 77-108 ◽  
Author(s):  
Alex Abreu ◽  
Juliana Coelho ◽  
Marco Pacini
Keyword(s):  
Nodal Curves

Nodal curves

2011 ◽  
pp. 79-166
Author(s):  
Enrico Arbarello ◽  
Maurizio Cornalba ◽  
Phillip A. Griffiths
Keyword(s):  
Nodal Curves

scholarly journals On the Degree-1 Abel Map for Nodal Curves

2018 ◽  
Vol 50 (3) ◽  
pp. 717-743
Author(s):  
Aldi Nestor de Souza ◽  
Frederico Sercio
Keyword(s):  
Nodal Curves ◽  
Abel Map

scholarly journals Singular principal G-bundles on nodal curves

2005 ◽  
pp. 215-251 ◽  
Author(s):  
Alexander Schmitt
Keyword(s):  
Nodal Curves

Degeneration of differentials and moduli of nodal curves on 𝐾3 surfaces

2018 ◽  
pp. 59-79
Author(s):  
C. Ciliberto ◽  
F. Flamini ◽  
C. Galati ◽  
A. Knutsen
Keyword(s):  
Nodal Curves

scholarly journals On the irreducibility of the Severi variety of nodal curves in a smooth surface

2019 ◽  
Vol 113 (5) ◽  
pp. 483-487 ◽  
Author(s):  
Edoardo Ballico
Keyword(s):  
Smooth Surface ◽  
Nodal Curves ◽  
Severi Variety

Nodal curves on surfaces of general type

1997 ◽  
Vol 307 (1) ◽  
pp. 41-56 ◽  
Author(s):  
L. Chiantini ◽  
E. Sernesi
Keyword(s):  
General Type ◽  
Surfaces Of General Type ◽  
Nodal Curves ◽  
Curves On Surfaces

scholarly journals Moduli of nodal curves on smooth surfaces of general type

2002 ◽  
Vol 11 (4) ◽  
pp. 725-760 ◽  
Author(s):  
F. Flamini
Keyword(s):  
General Type ◽  
Smooth Surfaces ◽  
Surfaces Of General Type ◽  
Nodal Curves

scholarly journals Erratum to: Modular properties of nodal curves on $$K3$$ K 3 surfaces

2015 ◽  
Vol 280 (3-4) ◽  
pp. 1203-1211
Author(s):  
Mihai Halic
Keyword(s):  
Nodal Curves
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