A global description of the fine Simpson moduli space of 1-dimensional sheaves supported on plane quartics

Reference : A global description of the fine Simpson moduli space of 1-dimensional sheaves suppor...


	Document type :	E-prints/Working papers : First made available on ORBilu
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/24469

Title :	A global description of the fine Simpson moduli space of 1-dimensional sheaves supported on plane quartics
Language :	English
Author, co-author :	Iena, Oleksandr [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	2016
Edition :	2
Number of pages :	15
Peer reviewed :	No
Keywords :	[en] Simpson moduli spaces ; 1-dimensional sheaves ; blow-up ; blow-down ; Poincare polynomial
Abstract :	[en] A global description of the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quartics is given: we describe the gluing of the Brill-Noether loci described by Drézet and Maican and show that the Simpson moduli space M=M_{4m±1}(P_2) is a blow-down of a blow-up of a projective bundle over a smooth moduli space of Kronecker modules. An easy computation of the Poincaré polynomial of M is presented.
Target :	Researchers ; Professionals
Permalink :	http://hdl.handle.net/10993/24469

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