scholarly journals Obstruction theory for moduli spaces of framed flags of sheaves on the projective plane

2021 ◽  
pp. 104255
Author(s):  
Rodrigo A. von Flach ◽  
Marcos Jardim ◽  
Valeriano Lanza
Keyword(s):  
Projective Plane ◽  
Moduli Spaces ◽  
Obstruction Theory

scholarly journals On the Singular Sheaves in the Fine Simpson Moduli Spaces of 1-dimensional Sheaves

2017 ◽  
Vol 60 (3) ◽  
pp. 522-535 ◽  
Author(s):  
Oleksandr Iena ◽  
Alain Leytem
Keyword(s):  
Projective Plane ◽  
Moduli Space ◽  
Moduli Spaces ◽  
Blow Up ◽  
Line Bundles ◽  
Hilbert Polynomial ◽  
Stable Sheaves ◽  
Closed Subvariety

AbstractIn the Simpson moduli space M of semi-stable sheaves with Hilbert polynomial dm − 1 on a projective plane we study the closed subvariety M' of sheaves that are not locally free on their support. We show that for d ≥4 , it is a singular subvariety of codimension 2 in M. The blow up of M along M' is interpreted as a (partial) modification of M \ M' by line bundles (on support).

scholarly journals Moduli spaces of framed flags of sheaves on the projective plane

2017 ◽  
Vol 118 ◽  
pp. 138-168
Author(s):  
Rodrigo A. von Flach ◽  
Marcos Jardim
Keyword(s):  
Projective Plane ◽  
Moduli Spaces

scholarly journals Birational models of moduli spaces of coherent sheaves on the projective plane

2019 ◽  
Vol 23 (1) ◽  
pp. 347-426 ◽  
Author(s):  
Chunyi Li ◽  
Xiaolei Zhao
Keyword(s):  
Projective Plane ◽  
Moduli Spaces ◽  
Coherent Sheaves

scholarly journals THE HOMOLOGY GROUPS OF CERTAIN MODULI SPACES OF PLANE SHEAVES

2013 ◽  
Vol 24 (12) ◽  
pp. 1350098 ◽  
Author(s):  
MARIO MAICAN
Keyword(s):  
Projective Plane ◽  
Moduli Spaces ◽  
Integral Homology ◽  
Chern Classes ◽  
Additive Structure ◽  
Homology Groups ◽  
Hodge Numbers ◽  
Stable Sheaves

Using the Białynicki-Birula method, we determine the additive structure of the integral homology groups of the moduli spaces of semi-stable sheaves on the projective plane having rank and Chern classes (5, 1, 4), (7, 2, 6), respectively, (0, 5, 19). We compute the Hodge numbers of these moduli spaces.

The birational geometry of moduli spaces of sheaves on the projective plane

2013 ◽  
Vol 173 (1) ◽  
pp. 37-64 ◽  
Author(s):  
Aaron Bertram ◽  
Cristian Martinez ◽  
Jie Wang
Keyword(s):  
Projective Plane ◽  
Moduli Spaces ◽  
Birational Geometry ◽  
Moduli Spaces Of Sheaves

SEMISTABLE SHEAVES WITH SYMMETRIC ON A QUADRIC SURFACE

2016 ◽  
Vol 227 ◽  
pp. 86-159 ◽  
Author(s):  
TAKESHI ABE
Keyword(s):  
Projective Plane ◽  
Moduli Spaces ◽  
Rational Maps ◽  
Quadric Surface ◽  
Plane Case ◽  
Moduli Spaces Of Sheaves ◽  
Strange Duality

For moduli spaces of sheaves with symmetric $c_{1}$ on a quadric surface, we pursue analogy to some results known for moduli spaces of sheaves on a projective plane. We define an invariant height, introduced by Drezet in the projective plane case, for moduli spaces of sheaves with symmetric $c_{1}$ on a quadric surface and describe the structure of moduli spaces of height zero. Then we study rational maps of moduli spaces of positive height to moduli spaces of representation of quivers, effective cones of moduli spaces, and strange duality for height-zero moduli spaces.

Ample divisors on fine moduli spaces on the projective plane

1984 ◽  
Vol 187 (3) ◽  
pp. 405-423 ◽  
Author(s):  
Stein Arild Str�mme
Keyword(s):  
Projective Plane ◽  
Moduli Spaces ◽  
Ample Divisors

Gilles Deleuze's Luminous Philosophy

2020 ◽  
Author(s):  
Hanjo Berressem
Keyword(s):  
Projective Plane ◽  
Visual Arts ◽  
Whole Body ◽  
Literary Studies ◽  
Chronological Order ◽  
Real Projective Plane ◽  
Cinema Studies ◽  
The Real

Providing a comprehensive reading of Deleuzian philosophy, Gilles Deleuze’s Luminous Philosophy argues that this philosophy’s most consistent conceptual spine and figure of thought is its inherent luminism. When Deleuze notes in Cinema 1 that ‘the plane of immanence is entirely made up of light’, he ties this philosophical luminism directly to the notion of the complementarity of the photon in its aspects of both particle and wave. Engaging, in chronological order, the whole body and range of Deleuze’s and Deleuze and Guattari’s writing, the book traces the ‘line of light’ that runs through Deleuze’s work, and it considers the implications of Deleuze’s luminism for the fields of literary studies, historical studies, the visual arts and cinema studies. It contours Deleuze’s luminism both against recent studies that promote a ‘dark Deleuze’ and against the prevalent view that Deleuzian philosophy is a philosophy of difference. Instead, it argues, it is a philosophy of the complementarity of difference and diversity, considered as two reciprocally determining fields that are, in Deleuze’s view, formally distinct but ontologically one. The book, which is the companion volume toFélix Guattari’s Schizoanalytic Ecology, argues that the ‘real projective plane’ is the ‘surface of thought’ of Deleuze’s philosophical luminism.

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