On the existence of a Gysin morphism for the Blow-up of an ordinary singularity

Autor:	Davide Franco, Vincenzo Di Gennaro
Přispěvatelé:	Di Gennaro, Vincenzo, Franco, Davide
Rok vydání:	2016
Předmět:	Pure mathematics Projective contraction General Mathematics Borel-Moore Homology Algebraic geometry Mathematics::Algebraic Topology 01 natural sciences Bivariant theory Derived category Gysin morphism Blowing up Mathematics - Algebraic Geometry Mathematics::Algebraic Geometry Morphism Singularity Pullback Mathematics::K-Theory and Homology Mathematics::Category Theory Blowing-up Isolated singularities Projective contractions FOS: Mathematics Mathematics (all) 14B05 14E15 14F05 14F45 Isolated singularitie 0101 mathematics Borel–Moore homology Algebraic Geometry (math.AG) Physics Mathematics::Commutative Algebra 010102 general mathematics 010101 applied mathematics Gravitational singularity Settore MAT/03 - Geometria
Zdroj:	ANNALI DELL'UNIVERSITA' DI FERRARA. 63:75-86
ISSN:	1827-1510 0430-3202
DOI:	10.1007/s11565-016-0253-z
Popis:	In this paper we characterize the Blowing-up maps of ordinary singularities for which there exists a natural Gysin morphism, i.e. a bivariant class $\theta \in Hom_{D(Y)}(R\pi_*\mathbb Q_X, \mathbb Q_Y)$, compatible with pullback and with restriction to the complement of the singularity. Comment: To the memory of Alexandru (Sacha) T. Lascu. Some new results added
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a67e5b54c7ba92f1285bba935d57fc5b https://doi.org/10.1007/s11565-016-0253-z Zobrazit plný text záznamu Full text from SpringerLink