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http://hdl.handle.net/2445/193869
Title: | Instanton bundles on the flag variety $F(0,1,2)$ |
Author: | Malaspina, Francesco Marchesi, Simone Pons Llopis, Joan |
Keywords: | Funcions de diverses variables complexes Espais analítics Geometria algebraica Física matemàtica Functions of several complex variables Analytic spaces Algebraic geometry Mathematical physics |
Issue Date: | 18-Dec-2020 |
Publisher: | Centro Edizioni Scuola Normale Superiore di Pisa |
Abstract: | Instanton bundles on $\mathbb{P}^3$ have been at the core of the research in A1gebraic Geometry during the last thirty years. Motivated by the recent extension of their definition to other Fano threefolds of Picard number one, we develop the theory of instanton bundles on the complete flag variety $F:=F(0,1,2)$ of point-lines on $\mathbb{P}^2$. After giving for them two different monadic presentations, we use it to show that the moduli space $M I_F(k)$ of instanton bundles of charge $k$ is a geometric GIT quotient and the open subspace $M I_F^s(k) \subset M I_F(k)$ of stable instanton bundles has a generically smooth component of $\operatorname{dim} 8 k-3$. Finally we study their locus of jumping conics. |
Note: | Versió postprint del document publicat a: https://doi.org/10.2422/2036-2145.201801_003 |
It is part of: | Annali della Scuola Normale Superiore di Pisa. Classe di Scienze, 2020, vol. 20, num. 4, p. 1469-1505 |
URI: | http://hdl.handle.net/2445/193869 |
Related resource: | https://doi.org/10.2422/2036-2145.201801_003 |
ISSN: | 0391-173X |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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