scholarly journals Stability Conditions for Restrictions of Vector Bundles on Projective Surfaces

2020 ◽  
Vol 69 (4) ◽  
pp. 711-732
Author(s):  
John Kopper
Keyword(s):  
Vector Bundles ◽  
Stability Conditions ◽  
Projective Surfaces

scholarly journals Stability conditions and birational geometry of projective surfaces

2014 ◽  
Vol 150 (10) ◽  
pp. 1755-1788 ◽  
Author(s):  
Yukinobu Toda
Keyword(s):  
Moduli Spaces ◽  
Minimal Model ◽  
Derived Category ◽  
Stability Conditions ◽  
Birational Geometry ◽  
Projective Surface ◽  
Model Program ◽  
Minimal Model Program ◽  
Coherent Sheaves ◽  
Projective Surfaces

AbstractWe show that the minimal model program on any smooth projective surface is realized as a variation of the moduli spaces of Bridgeland stable objects in the derived category of coherent sheaves.

scholarly journals Mukai’s program (reconstructing a K3 surface from a curve) via wall-crossing

2020 ◽  
Vol 2020 (765) ◽  
pp. 101-137 ◽  
Author(s):  
Soheyla Feyzbakhsh
Keyword(s):  
Vector Bundles ◽  
Picard Group ◽  
Stability Conditions ◽  
K3 Surface ◽  
Wall Crossing ◽  
Bridgeland Stability Conditions ◽  
G 11

AbstractLet C be a curve of genus {g=11} or {g\geq 13} on a K3 surface whose Picard group is generated by the curve class {[C]}. We use wall-crossing with respect to Bridgeland stability conditions to generalise Mukai’s program to this situation: we show how to reconstruct the K3 surface containing the curve C as a Fourier–Mukai transform of a Brill–Noether locus of vector bundles on C.

Almost-positive vector bundles on projective surfaces

1988 ◽  
Vol 280 (4) ◽  
pp. 537-547 ◽  
Author(s):  
Michael Schneider ◽  
Alessandro Tancredi
Keyword(s):  
Vector Bundles ◽  
Positive Vector ◽  
Projective Surfaces

scholarly journals aCM vector bundles on projective surfaces of nonnegative Kodaira dimension

2021 ◽  
Author(s):  
Edoardo Ballico ◽  
Sukmoon Huh ◽  
Joan Pons-Llopis
Keyword(s):  
Positive Integer ◽  
Line Bundle ◽  
Vector Bundles ◽  
Ample Line Bundle ◽  
General Setting ◽  
Kodaira Dimension ◽  
Line Bundles ◽  
Wide Range ◽  
Wild Representation Type ◽  
Projective Surfaces

In this paper, we contribute to the construction of families of arithmetically Cohen–Macaulay (aCM) indecomposable vector bundles on a wide range of polarized surfaces [Formula: see text] for [Formula: see text] an ample line bundle. In many cases, we show that for every positive integer [Formula: see text] there exists a family of indecomposable aCM vector bundles of rank [Formula: see text], depending roughly on [Formula: see text] parameters, and in particular they are of wild representation type. We also introduce a general setting to study the complexity of a polarized variety [Formula: see text] with respect to its category of aCM vector bundles. In many cases we construct indecomposable vector bundles on [Formula: see text] which are aCM for all ample line bundles on [Formula: see text].

Stability Conditions Related to a Previously Unrecognized Form of Thrombin

1972 ◽  
Vol 27 (02) ◽  
pp. 361-362 ◽  
Author(s):  
Walter H. Seegers ◽  
Lowell E. McCoy
Keyword(s):  
Stability Conditions
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