On Semistable Mori Conic Bundles

Prokhorov, Yuri

doi:10.1007/s10958-005-0467-6

J Math Sci

2005

DOI: 10.1007/s10958-005-0467-6

|View full text |Cite

On Semistable Mori Conic Bundles

Yuri Prokhorov

Abstract: We study Fano-Mori contractions from threefolds to surfaces satisfying the semistability assumption. A number of examples are constructed.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2009

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

On $ℚ$-Conic Bundles, III

Nagata¹,

Mori²,

Prokhorov³

2009

Publ. Res. Inst. Math. Sci.

View full text Add to dashboard Cite

A Q-conic bundle germ is a proper morphism from a threefold with only terminal singularities to the germ (Z o) of a normal surface such that fibers are connected and the anti-canonical divisor is relatively ample. Building upon our previous paper [MP08a], we prove the existence of a Du Val anti-canonical member under the assumption that the central fiber is irreducible. §1. IntroductionThe present paper is a continuation of a series of papers [MP08a], [MP08b]. Recall that a Q-conic bundle is a projective morphism f : X → Z from an (algebraic or analytic) threefold with terminal singularities to a surface that satisfies the following properties:For f : X → Z as above and for a point o ∈ Z, we call the analytic germ (X, f −1 (o) red ) a Q-conic bundle germ.In this paper we complete the proof of the following

show abstract

On $ℚ$-Conic Bundles, III

Nagata¹,

Mori²,

Prokhorov³

2009

Publ. Res. Inst. Math. Sci.

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

On Semistable Mori Conic Bundles

Abstract: We study Fano-Mori contractions from threefolds to surfaces satisfying the semistability assumption. A number of examples are constructed.

Cited by 1 publication

References 8 publications

On $ℚ$-Conic Bundles, III

On $ℚ$-Conic Bundles, III

Contact Info

Product

Resources

About