Intersection multiplicity on blow-ups

DOI10.1090/S1056-3911-2012-00577-3zbMath1281.13016OpenAlexW2013160865MaRDI QIDQ4904372

Sankar P. Dutta

Publication date: 29 January 2013

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1056-3911-2012-00577-3

zbMATH Keywords

blow-upintersection multiplicitySerre conjecture

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Rational and birational maps (14E05)

Related Items

Positivity of intersection multiplicity over a two-dimensional base, Intersection multiplicity of Serre in the unramified case

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Frobenius and multiplicities
• Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck
• Faisceaux algébriques cohérents
• Modules of finite projective dimension with negative intersection multiplicities
• Erratum to ``Localization on singular varieties
• Smoothness, semi-stability and alterations
• Ringe der Charakteristik p und Frobeniusfunktoren
• Modules of finite length and finite projective dimension
• Intersection multiplicities over Gorenstein rings
• Intersection multiplicity of Serre on regular schemes
• On the vanishing of Tor in regular local rings
• Algèbre locale. Multiplicités. Cours au Collège de France, 1957-1958, rédigé par Pierre Gabriel. 2e ed.
• Algebraic approximation of structures over complete local rings
• Sur quelques points d'algèbre homologique
• INTERSECTIONS OF SYMBOLIC POWERS OF PRIME IDEALS
• Generalized Intersection Multiplicities of Modules
• The vanishing of intersection multiplicities of perfect complexes
• A Special Case of Positivity
• Intersection multiplicities and tangent cones
• On negativity of higher Euler characteristics
• A special case of positivity (II)
• A theorem on smoothness- Bass-Quillen, Chow groups and intersection multiplicity of Serre
• Characterizations of Regular Local Rings of Characteristic p
• Stable module theory